Career Sidekick

26 Expert-Backed Problem Solving Examples – Interview Answers

Published: February 13, 2023

Interview Questions and Answers

Actionable advice from real experts:

picture of Biron Clark

Biron Clark

Former Recruiter

problem solving analysis examples

Contributor

Dr. Kyle Elliott

Career Coach

problem solving analysis examples

Hayley Jukes

Editor-in-Chief

Biron Clark

Biron Clark , Former Recruiter

Kyle Elliott , Career Coach

Image of Hayley Jukes

Hayley Jukes , Editor

As a recruiter , I know employers like to hire people who can solve problems and work well under pressure.

 A job rarely goes 100% according to plan, so hiring managers are more likely to hire you if you seem like you can handle unexpected challenges while staying calm and logical.

But how do they measure this?

Hiring managers will ask you interview questions about your problem-solving skills, and they might also look for examples of problem-solving on your resume and cover letter. 

In this article, I’m going to share a list of problem-solving examples and sample interview answers to questions like, “Give an example of a time you used logic to solve a problem?” and “Describe a time when you had to solve a problem without managerial input. How did you handle it, and what was the result?”

  • Problem-solving involves identifying, prioritizing, analyzing, and solving problems using a variety of skills like critical thinking, creativity, decision making, and communication.
  • Describe the Situation, Task, Action, and Result ( STAR method ) when discussing your problem-solving experiences.
  • Tailor your interview answer with the specific skills and qualifications outlined in the job description.
  • Provide numerical data or metrics to demonstrate the tangible impact of your problem-solving efforts.

What are Problem Solving Skills? 

Problem-solving is the ability to identify a problem, prioritize based on gravity and urgency, analyze the root cause, gather relevant information, develop and evaluate viable solutions, decide on the most effective and logical solution, and plan and execute implementation. 

Problem-solving encompasses other skills that can be showcased in an interview response and your resume. Problem-solving skills examples include:

  • Critical thinking
  • Analytical skills
  • Decision making
  • Research skills
  • Technical skills
  • Communication skills
  • Adaptability and flexibility

Why is Problem Solving Important in the Workplace?

Problem-solving is essential in the workplace because it directly impacts productivity and efficiency. Whenever you encounter a problem, tackling it head-on prevents minor issues from escalating into bigger ones that could disrupt the entire workflow. 

Beyond maintaining smooth operations, your ability to solve problems fosters innovation. It encourages you to think creatively, finding better ways to achieve goals, which keeps the business competitive and pushes the boundaries of what you can achieve. 

Effective problem-solving also contributes to a healthier work environment; it reduces stress by providing clear strategies for overcoming obstacles and builds confidence within teams. 

Examples of Problem-Solving in the Workplace

  • Correcting a mistake at work, whether it was made by you or someone else
  • Overcoming a delay at work through problem solving and communication
  • Resolving an issue with a difficult or upset customer
  • Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
  • Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
  • Troubleshooting and resolving technical issues
  • Handling and resolving a conflict with a coworker
  • Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
  • Taking initiative when another team member overlooked or missed something important
  • Taking initiative to meet with your superior to discuss a problem before it became potentially worse
  • Solving a safety issue at work or reporting the issue to those who could solve it
  • Using problem solving abilities to reduce/eliminate a company expense
  • Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
  • Changing how a process, team, or task is organized to make it more efficient
  • Using creative thinking to come up with a solution that the company hasn’t used before
  • Performing research to collect data and information to find a new solution to a problem
  • Boosting a company or team’s performance by improving some aspect of communication among employees
  • Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

Problem-Solving Examples for Recent Grads/Entry-Level Job Seekers

  • Coordinating work between team members in a class project
  • Reassigning a missing team member’s work to other group members in a class project
  • Adjusting your workflow on a project to accommodate a tight deadline
  • Speaking to your professor to get help when you were struggling or unsure about a project
  • Asking classmates, peers, or professors for help in an area of struggle
  • Talking to your academic advisor to brainstorm solutions to a problem you were facing
  • Researching solutions to an academic problem online, via Google or other methods
  • Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

How To Answer “Tell Us About a Problem You Solved”

When you answer interview questions about problem-solving scenarios, or if you decide to demonstrate your problem-solving skills in a cover letter (which is a good idea any time the job description mentions problem-solving as a necessary skill), I recommend using the STAR method.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. 

Start by briefly describing the general situation and the task at hand. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact. Finally, describe the positive result you achieved.

Note: Our sample answers below are structured following the STAR formula. Be sure to check them out!

EXPERT ADVICE

problem solving analysis examples

Dr. Kyle Elliott , MPA, CHES Tech & Interview Career Coach caffeinatedkyle.com

How can I communicate complex problem-solving experiences clearly and succinctly?

Before answering any interview question, it’s important to understand why the interviewer is asking the question in the first place.

When it comes to questions about your complex problem-solving experiences, for example, the interviewer likely wants to know about your leadership acumen, collaboration abilities, and communication skills, not the problem itself.

Therefore, your answer should be focused on highlighting how you excelled in each of these areas, not diving into the weeds of the problem itself, which is a common mistake less-experienced interviewees often make.

Tailoring Your Answer Based on the Skills Mentioned in the Job Description

As a recruiter, one of the top tips I can give you when responding to the prompt “Tell us about a problem you solved,” is to tailor your answer to the specific skills and qualifications outlined in the job description. 

Once you’ve pinpointed the skills and key competencies the employer is seeking, craft your response to highlight experiences where you successfully utilized or developed those particular abilities. 

For instance, if the job requires strong leadership skills, focus on a problem-solving scenario where you took charge and effectively guided a team toward resolution. 

By aligning your answer with the desired skills outlined in the job description, you demonstrate your suitability for the role and show the employer that you understand their needs.

Amanda Augustine expands on this by saying:

“Showcase the specific skills you used to solve the problem. Did it require critical thinking, analytical abilities, or strong collaboration? Highlight the relevant skills the employer is seeking.”  

Interview Answers to “Tell Me About a Time You Solved a Problem”

Now, let’s look at some sample interview answers to, “Give me an example of a time you used logic to solve a problem,” or “Tell me about a time you solved a problem,” since you’re likely to hear different versions of this interview question in all sorts of industries.

The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate.

1. Analytical Thinking

problem solving analysis examples

Situation: In my previous role as a data analyst , our team encountered a significant drop in website traffic.

Task: I was tasked with identifying the root cause of the decrease.

Action: I conducted a thorough analysis of website metrics, including traffic sources, user demographics, and page performance. Through my analysis, I discovered a technical issue with our website’s loading speed, causing users to bounce. 

Result: By optimizing server response time, compressing images, and minimizing redirects, we saw a 20% increase in traffic within two weeks.

2. Critical Thinking

problem solving analysis examples

Situation: During a project deadline crunch, our team encountered a major technical issue that threatened to derail our progress.

Task: My task was to assess the situation and devise a solution quickly.

Action: I immediately convened a meeting with the team to brainstorm potential solutions. Instead of panicking, I encouraged everyone to think outside the box and consider unconventional approaches. We analyzed the problem from different angles and weighed the pros and cons of each solution.

Result: By devising a workaround solution, we were able to meet the project deadline, avoiding potential delays that could have cost the company $100,000 in penalties for missing contractual obligations.

3. Decision Making

problem solving analysis examples

Situation: As a project manager , I was faced with a dilemma when two key team members had conflicting opinions on the project direction.

Task: My task was to make a decisive choice that would align with the project goals and maintain team cohesion.

Action: I scheduled a meeting with both team members to understand their perspectives in detail. I listened actively, asked probing questions, and encouraged open dialogue. After carefully weighing the pros and cons of each approach, I made a decision that incorporated elements from both viewpoints.

Result: The decision I made not only resolved the immediate conflict but also led to a stronger sense of collaboration within the team. By valuing input from all team members and making a well-informed decision, we were able to achieve our project objectives efficiently.

4. Communication (Teamwork)

problem solving analysis examples

Situation: During a cross-functional project, miscommunication between departments was causing delays and misunderstandings.

Task: My task was to improve communication channels and foster better teamwork among team members.

Action: I initiated regular cross-departmental meetings to ensure that everyone was on the same page regarding project goals and timelines. I also implemented a centralized communication platform where team members could share updates, ask questions, and collaborate more effectively.

Result: Streamlining workflows and improving communication channels led to a 30% reduction in project completion time, saving the company $25,000 in operational costs.

5. Persistence 

Situation: During a challenging sales quarter, I encountered numerous rejections and setbacks while trying to close a major client deal.

Task: My task was to persistently pursue the client and overcome obstacles to secure the deal.

Action: I maintained regular communication with the client, addressing their concerns and demonstrating the value proposition of our product. Despite facing multiple rejections, I remained persistent and resilient, adjusting my approach based on feedback and market dynamics.

Result: After months of perseverance, I successfully closed the deal with the client. By closing the major client deal, I exceeded quarterly sales targets by 25%, resulting in a revenue increase of $250,000 for the company.

Tips to Improve Your Problem-Solving Skills

Throughout your career, being able to showcase and effectively communicate your problem-solving skills gives you more leverage in achieving better jobs and earning more money .

So to improve your problem-solving skills, I recommend always analyzing a problem and situation before acting.

 When discussing problem-solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems.

Don’t just say you’re good at solving problems. Show it with specifics. How much did you boost efficiency? Did you save the company money? Adding numbers can really make your achievements stand out.

To get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t.

Think about how you can improve researching and analyzing a situation, how you can get better at communicating, and deciding on the right people in the organization to talk to and “pull in” to help you if needed, etc.

Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem-solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem-solving ability.

More Interview Resources

  • 3 Answers to “How Do You Handle Stress?”
  • How to Answer “How Do You Handle Conflict?” (Interview Question)
  • Sample Answers to “Tell Me About a Time You Failed”

picture of Biron Clark

About the Author

Biron Clark is a former executive recruiter who has worked individually with hundreds of job seekers, reviewed thousands of resumes and LinkedIn profiles, and recruited for top venture-backed startups and Fortune 500 companies. He has been advising job seekers since 2012 to think differently in their job search and land high-paying, competitive positions. Follow on Twitter and LinkedIn .

Read more articles by Biron Clark

About the Contributor

Kyle Elliott , career coach and mental health advocate, transforms his side hustle into a notable practice, aiding Silicon Valley professionals in maximizing potential. Follow Kyle on LinkedIn .

Image of Hayley Jukes

About the Editor

Hayley Jukes is the Editor-in-Chief at CareerSidekick with five years of experience creating engaging articles, books, and transcripts for diverse platforms and audiences.

Continue Reading

12 Expert-Approved Responses to ‘What Makes You Unique?’ in Job Interviews

15 most common pharmacist interview questions and answers, 15 most common paralegal interview questions and answers, top 30+ funny interview questions and answers, 60 hardest interview questions and answers, 100+ best ice breaker questions to ask candidates, top 20 situational interview questions (& sample answers), 15 most common physical therapist interview questions and answers.

Status.net

What is Problem Solving? (Steps, Techniques, Examples)

By Status.net Editorial Team on May 7, 2023 — 5 minutes to read

What Is Problem Solving?

Definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

  • Identify the issue : Recognize the problem that needs to be solved.
  • Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
  • Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
  • Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
  • Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
  • Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
  • Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

  • Brainstorming with others
  • Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
  • Analyzing cause and effect
  • Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

  • Creating a list of potential ideas to solve the problem
  • Grouping and categorizing similar solutions
  • Prioritizing potential solutions based on feasibility, cost, and resources required
  • Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

  • SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
  • Decision-making matrices
  • Pros and cons lists
  • Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

  • Communicating the solution to relevant parties
  • Setting timelines and milestones
  • Assigning tasks and responsibilities
  • Monitoring the solution and making adjustments as necessary
  • Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

  • Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
  • Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
  • SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
  • Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

  • Generate a diverse range of solutions
  • Encourage all team members to participate
  • Foster creative thinking

When brainstorming, remember to:

  • Reserve judgment until the session is over
  • Encourage wild ideas
  • Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

  • 5 Whys : Ask “why” five times to get to the underlying cause.
  • Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
  • Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

  • List your problem’s strengths, such as relevant resources or strong partnerships.
  • Identify its weaknesses, such as knowledge gaps or limited resources.
  • Explore opportunities, like trends or new technologies, that could help solve the problem.
  • Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

  • Write the problem in the center of a blank page.
  • Draw branches from the central problem to related sub-problems or contributing factors.
  • Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

  • Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
  • Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
  • Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

  • Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
  • Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
  • Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

  • Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
  • Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
  • Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
  • How to Resolve Employee Conflict at Work [Steps, Tips, Examples]
  • How to Write Inspiring Core Values? 5 Steps with Examples
  • 30 Employee Feedback Examples (Positive & Negative)

35 problem-solving techniques and methods for solving complex problems

Problem solving workshop

Design your next session with SessionLab

Join the 150,000+ facilitators 
using SessionLab.

Recommended Articles

A step-by-step guide to planning a workshop, how to create an unforgettable training session in 8 simple steps, 47 useful online tools for workshop planning and meeting facilitation.

All teams and organizations encounter challenges as they grow. There are problems that might occur for teams when it comes to miscommunication or resolving business-critical issues . You may face challenges around growth , design , user engagement, and even team culture and happiness. In short, problem-solving techniques should be part of every team’s skillset.

Problem-solving methods are primarily designed to help a group or team through a process of first identifying problems and challenges , ideating possible solutions , and then evaluating the most suitable .

Finding effective solutions to complex problems isn’t easy, but by using the right process and techniques, you can help your team be more efficient in the process.

So how do you develop strategies that are engaging, and empower your team to solve problems effectively?

In this blog post, we share a series of problem-solving tools you can use in your next workshop or team meeting. You’ll also find some tips for facilitating the process and how to enable others to solve complex problems.

Let’s get started! 

How do you identify problems?

How do you identify the right solution.

  • Tips for more effective problem-solving

Complete problem-solving methods

  • Problem-solving techniques to identify and analyze problems
  • Problem-solving techniques for developing solutions

Problem-solving warm-up activities

Closing activities for a problem-solving process.

Before you can move towards finding the right solution for a given problem, you first need to identify and define the problem you wish to solve. 

Here, you want to clearly articulate what the problem is and allow your group to do the same. Remember that everyone in a group is likely to have differing perspectives and alignment is necessary in order to help the group move forward. 

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner. It can be scary for people to stand up and contribute, especially if the problems or challenges are emotive or personal in nature. Be sure to try and create a psychologically safe space for these kinds of discussions.

Remember that problem analysis and further discussion are also important. Not taking the time to fully analyze and discuss a challenge can result in the development of solutions that are not fit for purpose or do not address the underlying issue.

Successfully identifying and then analyzing a problem means facilitating a group through activities designed to help them clearly and honestly articulate their thoughts and produce usable insight.

With this data, you might then produce a problem statement that clearly describes the problem you wish to be addressed and also state the goal of any process you undertake to tackle this issue.  

Finding solutions is the end goal of any process. Complex organizational challenges can only be solved with an appropriate solution but discovering them requires using the right problem-solving tool.

After you’ve explored a problem and discussed ideas, you need to help a team discuss and choose the right solution. Consensus tools and methods such as those below help a group explore possible solutions before then voting for the best. They’re a great way to tap into the collective intelligence of the group for great results!

Remember that the process is often iterative. Great problem solvers often roadtest a viable solution in a measured way to see what works too. While you might not get the right solution on your first try, the methods below help teams land on the most likely to succeed solution while also holding space for improvement.

Every effective problem solving process begins with an agenda . A well-structured workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

In SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

problem solving analysis examples

Tips for more effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

  • Six Thinking Hats
  • Lightning Decision Jam
  • Problem Definition Process
  • Discovery & Action Dialogue
Design Sprint 2.0
  • Open Space Technology

1. Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

2. Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   The problem with anything that requires creative thinking is that it’s easy to get lost—lose focus and fall into the trap of having useless, open-ended, unstructured discussions. Here’s the most effective solution I’ve found: Replace all open, unstructured discussion with a clear process. What to use this exercise for: Anything which requires a group of people to make decisions, solve problems or discuss challenges. It’s always good to frame an LDJ session with a broad topic, here are some examples: The conversion flow of our checkout Our internal design process How we organise events Keeping up with our competition Improving sales flow

3. Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

4. The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

5. World Cafe

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

6. Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

7. Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

8. Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

  • The Creativity Dice
  • Fishbone Analysis
  • Problem Tree
  • SWOT Analysis
  • Agreement-Certainty Matrix
  • The Journalistic Six
  • LEGO Challenge
  • What, So What, Now What?
  • Journalists

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

10. The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

11. Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

12. Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

13. SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

14. Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

16. Speed Boat

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

17. The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

18. LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills. 

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

19. What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

20. Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for developing solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to narrow down to the correct solution.

Use these problem-solving techniques when you want to help your team find consensus, compare possible solutions, and move towards taking action on a particular problem.

  • Improved Solutions
  • Four-Step Sketch
  • 15% Solutions
  • How-Now-Wow matrix
  • Impact Effort Matrix

21. Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex. 

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

22. Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

23. Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

24. 15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

25. How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

26. Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

27. Dotmocracy

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

  • Check-in/Check-out
  • Doodling Together
  • Show and Tell
  • Constellations
  • Draw a Tree

28. Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process.

Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute. 

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

29. Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start. 

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems. 

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

30. Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

31. Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

32. Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

  • One Breath Feedback
  • Who What When Matrix
  • Response Cards

How do I conclude a problem-solving process?

All good things must come to an end. With the bulk of the work done, it can be tempting to conclude your workshop swiftly and without a moment to debrief and align. This can be problematic in that it doesn’t allow your team to fully process the results or reflect on the process.

At the end of an effective session, your team will have gone through a process that, while productive, can be exhausting. It’s important to give your group a moment to take a breath, ensure that they are clear on future actions, and provide short feedback before leaving the space. 

The primary purpose of any problem-solving method is to generate solutions and then implement them. Be sure to take the opportunity to ensure everyone is aligned and ready to effectively implement the solutions you produced in the workshop.

Remember that every process can be improved and by giving a short moment to collect feedback in the session, you can further refine your problem-solving methods and see further success in the future too.

33. One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

34. Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

35. Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Save time and effort discovering the right solutions

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

problem solving analysis examples

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of creative exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

' src=

thank you very much for these excellent techniques

' src=

Certainly wonderful article, very detailed. Shared!

Leave a Comment Cancel reply

Your email address will not be published. Required fields are marked *

cycle of workshop planning steps

Going from a mere idea to a workshop that delivers results for your clients can feel like a daunting task. In this piece, we will shine a light on all the work behind the scenes and help you learn how to plan a workshop from start to finish. On a good day, facilitation can feel like effortless magic, but that is mostly the result of backstage work, foresight, and a lot of careful planning. Read on to learn a step-by-step approach to breaking the process of planning a workshop into small, manageable chunks.  The flow starts with the first meeting with a client to define the purposes of a workshop.…

problem solving analysis examples

How does learning work? A clever 9-year-old once told me: “I know I am learning something new when I am surprised.” The science of adult learning tells us that, in order to learn new skills (which, unsurprisingly, is harder for adults to do than kids) grown-ups need to first get into a specific headspace.  In a business, this approach is often employed in a training session where employees learn new skills or work on professional development. But how do you ensure your training is effective? In this guide, we'll explore how to create an effective training session plan and run engaging training sessions. As team leader, project manager, or consultant,…

problem solving analysis examples

Effective online tools are a necessity for smooth and engaging virtual workshops and meetings. But how do you choose the right ones? Do you sometimes feel that the good old pen and paper or MS Office toolkit and email leaves you struggling to stay on top of managing and delivering your workshop? Fortunately, there are plenty of online tools to make your life easier when you need to facilitate a meeting and lead workshops. In this post, we’ll share our favorite online tools you can use to make your job as a facilitator easier. In fact, there are plenty of free online workshop tools and meeting facilitation software you can…

Design your next workshop with SessionLab

Join the 150,000 facilitators using SessionLab

Sign up for free

business analyst mentor

The 5 Steps in Problem Analysis

problem analysis

One technique that is extremely useful to gain a better understanding of the problems before determining a solution is problem analysis .

Problem analysis is the process of understanding real-world problems and user’s needs and proposing solutions to meet those needs. The goal of problem analysis is to gain a better understanding of the problem being solved before developing a solution.

There are five useful steps that can be taken to gain a better understanding of the problem before developing a solution.

  • Gain agreement on the problem definition
  • Understand the root-causes – the problem behind the problem
  • Identify the stakeholders and the users
  • Define the solution boundary
  • Identify the constraints to be imposed on the solution

Table of Contents

Gain agreement on the problem definition.

The first step is to gain agreement on the definition of the problem to be solved. One of the simplest ways to gain agreement is to simply write the problem down and see whether everyone agrees.

Business Problem Statement Template

Opens in a new tab.

A helpful and standardised format to write the problem definition is as follows:

  • The problem of – Describe the problem
  • Affects – Identify stakeholders affected by the problem
  • The results of which – Describe the impact of this problem on stakeholders and business activity
  • Benefits of – Indicate the proposed solution and list a few key benefits

Example Business Problem Statement

There are many problems statement examples that can be found in different business domains and during the discovery when the business analyst is conducting analysis. An example business problem statement is as follows:

The problem of  having to manually maintain an accurate single source of truth for finance product data across the business, affects the finance department. The results of which has the impact of not having to have duplicate data, having to do workarounds and difficulty of maintaining finance product data across the business and key channels. A successful solution would  have the benefit of providing a single source of truth for finance product data that can be used across the business and channels and provide an audit trail of changes, stewardship and maintain data standards and best practices.

Understand the Root Causes Problem Behind the Problem

You can use a variety of techniques to gain an understanding of the real problem and its real causes. One such popular technique is root cause analysis, which is a systematic way of uncovering the root or underlying cause of an identified problem or a symptom of a problem.

Root cause analysis helps prevents the development of solutions that are focussed on symptoms alone .

To help identify the root cause, or the problem behind the problem, ask the people directly involved.

problem analysis fish bone diagram

The primary goal of the technique is to determine the root cause of a defect or problem by repeating the question “Why?” . Each answer forms the basis of the next question. The “five” in the name derives from an anecdotal observation on the number of iterations needed to resolve the problem .

Identify the Stakeholders and the Users

Effectively solving any complex problem typically involves satisfying the needs of a diverse group of stakeholders. Stakeholders typically have varying perspectives on the problem and various needs that must be addressed by the solution. So, involving stakeholders will help you to determine the root causes to problems.

Define the Solution Boundary

Once the problem statement is agreed to and the users and stakeholders are identified, we can turn our attention of defining a solution that can be deployed to address the problem.

Identify the Constraints  Imposed on Solution

We must consider the constraints that will be imposed on the solution. Each constraint has the potential to severely restrict our ability to deliver a solution as we envision it.

Some example solution constraints and considerations could be:-

  • Economic – what financial or budgetary constraints are applicable?
  • Environmental – are there environmental or regulatory constraints?
  • Technical  – are we restricted in our choice of technologies?
  • Political – are there internal or external political issues that affect potential solutions?

Conclusion – Problem Analysis

Try the five useful steps for problem solving when your next trying to gain a better understanding of the problem domain on your business analysis project or need to do problem analysis in software engineering.

The problem statement format can be used in businesses and across industries. 

requirements discovery checklist pack business analysis templates

Jerry Nicholas

Jerry continues to maintain the site to help aspiring and junior business analysts and taps into the network of experienced professionals to accelerate the professional development of all business analysts. He is a Principal Business Analyst who has over twenty years experience gained in a range of client sizes and sectors including investment banking, retail banking, retail, telecoms and public sector. Jerry has mentored and coached business analyst throughout his career. He is a member of British Computer Society (MBCS), International Institute of Business Analysis (IIBA), Business Agility Institute, Project Management Institute (PMI), Disciplined Agile Consortium and Business Architecture Guild. He has contributed and is acknowledged in the book: Choose Your WoW - A Disciplined Agile Delivery Handbook for Optimising Your Way of Working (WoW).

Recent Posts

Introduction to Train the Trainer for a Business Analyst

No matter the industry, modern professionals need to continuously improve themselves and work on up skilling and re-skilling to maintain satisfactory success within their field. This is particularly...

CliftonStrengths for a Business Analyst | Be You

Today, the job of a business analyst is probably more challenging than ever. The already intricate landscape of modern business analysis has recently gone through various shifts, mainly due to the...

How to master the seven-step problem-solving process

In this episode of the McKinsey Podcast , Simon London speaks with Charles Conn, CEO of venture-capital firm Oxford Sciences Innovation, and McKinsey senior partner Hugo Sarrazin about the complexities of different problem-solving strategies.

Podcast transcript

Simon London: Hello, and welcome to this episode of the McKinsey Podcast , with me, Simon London. What’s the number-one skill you need to succeed professionally? Salesmanship, perhaps? Or a facility with statistics? Or maybe the ability to communicate crisply and clearly? Many would argue that at the very top of the list comes problem solving: that is, the ability to think through and come up with an optimal course of action to address any complex challenge—in business, in public policy, or indeed in life.

Looked at this way, it’s no surprise that McKinsey takes problem solving very seriously, testing for it during the recruiting process and then honing it, in McKinsey consultants, through immersion in a structured seven-step method. To discuss the art of problem solving, I sat down in California with McKinsey senior partner Hugo Sarrazin and also with Charles Conn. Charles is a former McKinsey partner, entrepreneur, executive, and coauthor of the book Bulletproof Problem Solving: The One Skill That Changes Everything [John Wiley & Sons, 2018].

Charles and Hugo, welcome to the podcast. Thank you for being here.

Hugo Sarrazin: Our pleasure.

Charles Conn: It’s terrific to be here.

Simon London: Problem solving is a really interesting piece of terminology. It could mean so many different things. I have a son who’s a teenage climber. They talk about solving problems. Climbing is problem solving. Charles, when you talk about problem solving, what are you talking about?

Charles Conn: For me, problem solving is the answer to the question “What should I do?” It’s interesting when there’s uncertainty and complexity, and when it’s meaningful because there are consequences. Your son’s climbing is a perfect example. There are consequences, and it’s complicated, and there’s uncertainty—can he make that grab? I think we can apply that same frame almost at any level. You can think about questions like “What town would I like to live in?” or “Should I put solar panels on my roof?”

You might think that’s a funny thing to apply problem solving to, but in my mind it’s not fundamentally different from business problem solving, which answers the question “What should my strategy be?” Or problem solving at the policy level: “How do we combat climate change?” “Should I support the local school bond?” I think these are all part and parcel of the same type of question, “What should I do?”

I’m a big fan of structured problem solving. By following steps, we can more clearly understand what problem it is we’re solving, what are the components of the problem that we’re solving, which components are the most important ones for us to pay attention to, which analytic techniques we should apply to those, and how we can synthesize what we’ve learned back into a compelling story. That’s all it is, at its heart.

I think sometimes when people think about seven steps, they assume that there’s a rigidity to this. That’s not it at all. It’s actually to give you the scope for creativity, which often doesn’t exist when your problem solving is muddled.

Simon London: You were just talking about the seven-step process. That’s what’s written down in the book, but it’s a very McKinsey process as well. Without getting too deep into the weeds, let’s go through the steps, one by one. You were just talking about problem definition as being a particularly important thing to get right first. That’s the first step. Hugo, tell us about that.

Hugo Sarrazin: It is surprising how often people jump past this step and make a bunch of assumptions. The most powerful thing is to step back and ask the basic questions—“What are we trying to solve? What are the constraints that exist? What are the dependencies?” Let’s make those explicit and really push the thinking and defining. At McKinsey, we spend an enormous amount of time in writing that little statement, and the statement, if you’re a logic purist, is great. You debate. “Is it an ‘or’? Is it an ‘and’? What’s the action verb?” Because all these specific words help you get to the heart of what matters.

Want to subscribe to The McKinsey Podcast ?

Simon London: So this is a concise problem statement.

Hugo Sarrazin: Yeah. It’s not like “Can we grow in Japan?” That’s interesting, but it is “What, specifically, are we trying to uncover in the growth of a product in Japan? Or a segment in Japan? Or a channel in Japan?” When you spend an enormous amount of time, in the first meeting of the different stakeholders, debating this and having different people put forward what they think the problem definition is, you realize that people have completely different views of why they’re here. That, to me, is the most important step.

Charles Conn: I would agree with that. For me, the problem context is critical. When we understand “What are the forces acting upon your decision maker? How quickly is the answer needed? With what precision is the answer needed? Are there areas that are off limits or areas where we would particularly like to find our solution? Is the decision maker open to exploring other areas?” then you not only become more efficient, and move toward what we call the critical path in problem solving, but you also make it so much more likely that you’re not going to waste your time or your decision maker’s time.

How often do especially bright young people run off with half of the idea about what the problem is and start collecting data and start building models—only to discover that they’ve really gone off half-cocked.

Hugo Sarrazin: Yeah.

Charles Conn: And in the wrong direction.

Simon London: OK. So step one—and there is a real art and a structure to it—is define the problem. Step two, Charles?

Charles Conn: My favorite step is step two, which is to use logic trees to disaggregate the problem. Every problem we’re solving has some complexity and some uncertainty in it. The only way that we can really get our team working on the problem is to take the problem apart into logical pieces.

What we find, of course, is that the way to disaggregate the problem often gives you an insight into the answer to the problem quite quickly. I love to do two or three different cuts at it, each one giving a bit of a different insight into what might be going wrong. By doing sensible disaggregations, using logic trees, we can figure out which parts of the problem we should be looking at, and we can assign those different parts to team members.

Simon London: What’s a good example of a logic tree on a sort of ratable problem?

Charles Conn: Maybe the easiest one is the classic profit tree. Almost in every business that I would take a look at, I would start with a profit or return-on-assets tree. In its simplest form, you have the components of revenue, which are price and quantity, and the components of cost, which are cost and quantity. Each of those can be broken out. Cost can be broken into variable cost and fixed cost. The components of price can be broken into what your pricing scheme is. That simple tree often provides insight into what’s going on in a business or what the difference is between that business and the competitors.

If we add the leg, which is “What’s the asset base or investment element?”—so profit divided by assets—then we can ask the question “Is the business using its investments sensibly?” whether that’s in stores or in manufacturing or in transportation assets. I hope we can see just how simple this is, even though we’re describing it in words.

When I went to work with Gordon Moore at the Moore Foundation, the problem that he asked us to look at was “How can we save Pacific salmon?” Now, that sounds like an impossible question, but it was amenable to precisely the same type of disaggregation and allowed us to organize what became a 15-year effort to improve the likelihood of good outcomes for Pacific salmon.

Simon London: Now, is there a danger that your logic tree can be impossibly large? This, I think, brings us onto the third step in the process, which is that you have to prioritize.

Charles Conn: Absolutely. The third step, which we also emphasize, along with good problem definition, is rigorous prioritization—we ask the questions “How important is this lever or this branch of the tree in the overall outcome that we seek to achieve? How much can I move that lever?” Obviously, we try and focus our efforts on ones that have a big impact on the problem and the ones that we have the ability to change. With salmon, ocean conditions turned out to be a big lever, but not one that we could adjust. We focused our attention on fish habitats and fish-harvesting practices, which were big levers that we could affect.

People spend a lot of time arguing about branches that are either not important or that none of us can change. We see it in the public square. When we deal with questions at the policy level—“Should you support the death penalty?” “How do we affect climate change?” “How can we uncover the causes and address homelessness?”—it’s even more important that we’re focusing on levers that are big and movable.

Would you like to learn more about our Strategy & Corporate Finance Practice ?

Simon London: Let’s move swiftly on to step four. You’ve defined your problem, you disaggregate it, you prioritize where you want to analyze—what you want to really look at hard. Then you got to the work plan. Now, what does that mean in practice?

Hugo Sarrazin: Depending on what you’ve prioritized, there are many things you could do. It could be breaking the work among the team members so that people have a clear piece of the work to do. It could be defining the specific analyses that need to get done and executed, and being clear on time lines. There’s always a level-one answer, there’s a level-two answer, there’s a level-three answer. Without being too flippant, I can solve any problem during a good dinner with wine. It won’t have a whole lot of backing.

Simon London: Not going to have a lot of depth to it.

Hugo Sarrazin: No, but it may be useful as a starting point. If the stakes are not that high, that could be OK. If it’s really high stakes, you may need level three and have the whole model validated in three different ways. You need to find a work plan that reflects the level of precision, the time frame you have, and the stakeholders you need to bring along in the exercise.

Charles Conn: I love the way you’ve described that, because, again, some people think of problem solving as a linear thing, but of course what’s critical is that it’s iterative. As you say, you can solve the problem in one day or even one hour.

Charles Conn: We encourage our teams everywhere to do that. We call it the one-day answer or the one-hour answer. In work planning, we’re always iterating. Every time you see a 50-page work plan that stretches out to three months, you know it’s wrong. It will be outmoded very quickly by that learning process that you described. Iterative problem solving is a critical part of this. Sometimes, people think work planning sounds dull, but it isn’t. It’s how we know what’s expected of us and when we need to deliver it and how we’re progressing toward the answer. It’s also the place where we can deal with biases. Bias is a feature of every human decision-making process. If we design our team interactions intelligently, we can avoid the worst sort of biases.

Simon London: Here we’re talking about cognitive biases primarily, right? It’s not that I’m biased against you because of your accent or something. These are the cognitive biases that behavioral sciences have shown we all carry around, things like anchoring, overoptimism—these kinds of things.

Both: Yeah.

Charles Conn: Availability bias is the one that I’m always alert to. You think you’ve seen the problem before, and therefore what’s available is your previous conception of it—and we have to be most careful about that. In any human setting, we also have to be careful about biases that are based on hierarchies, sometimes called sunflower bias. I’m sure, Hugo, with your teams, you make sure that the youngest team members speak first. Not the oldest team members, because it’s easy for people to look at who’s senior and alter their own creative approaches.

Hugo Sarrazin: It’s helpful, at that moment—if someone is asserting a point of view—to ask the question “This was true in what context?” You’re trying to apply something that worked in one context to a different one. That can be deadly if the context has changed, and that’s why organizations struggle to change. You promote all these people because they did something that worked well in the past, and then there’s a disruption in the industry, and they keep doing what got them promoted even though the context has changed.

Simon London: Right. Right.

Hugo Sarrazin: So it’s the same thing in problem solving.

Charles Conn: And it’s why diversity in our teams is so important. It’s one of the best things about the world that we’re in now. We’re likely to have people from different socioeconomic, ethnic, and national backgrounds, each of whom sees problems from a slightly different perspective. It is therefore much more likely that the team will uncover a truly creative and clever approach to problem solving.

Simon London: Let’s move on to step five. You’ve done your work plan. Now you’ve actually got to do the analysis. The thing that strikes me here is that the range of tools that we have at our disposal now, of course, is just huge, particularly with advances in computation, advanced analytics. There’s so many things that you can apply here. Just talk about the analysis stage. How do you pick the right tools?

Charles Conn: For me, the most important thing is that we start with simple heuristics and explanatory statistics before we go off and use the big-gun tools. We need to understand the shape and scope of our problem before we start applying these massive and complex analytical approaches.

Simon London: Would you agree with that?

Hugo Sarrazin: I agree. I think there are so many wonderful heuristics. You need to start there before you go deep into the modeling exercise. There’s an interesting dynamic that’s happening, though. In some cases, for some types of problems, it is even better to set yourself up to maximize your learning. Your problem-solving methodology is test and learn, test and learn, test and learn, and iterate. That is a heuristic in itself, the A/B testing that is used in many parts of the world. So that’s a problem-solving methodology. It’s nothing different. It just uses technology and feedback loops in a fast way. The other one is exploratory data analysis. When you’re dealing with a large-scale problem, and there’s so much data, I can get to the heuristics that Charles was talking about through very clever visualization of data.

You test with your data. You need to set up an environment to do so, but don’t get caught up in neural-network modeling immediately. You’re testing, you’re checking—“Is the data right? Is it sound? Does it make sense?”—before you launch too far.

Simon London: You do hear these ideas—that if you have a big enough data set and enough algorithms, they’re going to find things that you just wouldn’t have spotted, find solutions that maybe you wouldn’t have thought of. Does machine learning sort of revolutionize the problem-solving process? Or are these actually just other tools in the toolbox for structured problem solving?

Charles Conn: It can be revolutionary. There are some areas in which the pattern recognition of large data sets and good algorithms can help us see things that we otherwise couldn’t see. But I do think it’s terribly important we don’t think that this particular technique is a substitute for superb problem solving, starting with good problem definition. Many people use machine learning without understanding algorithms that themselves can have biases built into them. Just as 20 years ago, when we were doing statistical analysis, we knew that we needed good model definition, we still need a good understanding of our algorithms and really good problem definition before we launch off into big data sets and unknown algorithms.

Simon London: Step six. You’ve done your analysis.

Charles Conn: I take six and seven together, and this is the place where young problem solvers often make a mistake. They’ve got their analysis, and they assume that’s the answer, and of course it isn’t the answer. The ability to synthesize the pieces that came out of the analysis and begin to weave those into a story that helps people answer the question “What should I do?” This is back to where we started. If we can’t synthesize, and we can’t tell a story, then our decision maker can’t find the answer to “What should I do?”

Simon London: But, again, these final steps are about motivating people to action, right?

Charles Conn: Yeah.

Simon London: I am slightly torn about the nomenclature of problem solving because it’s on paper, right? Until you motivate people to action, you actually haven’t solved anything.

Charles Conn: I love this question because I think decision-making theory, without a bias to action, is a waste of time. Everything in how I approach this is to help people take action that makes the world better.

Simon London: Hence, these are absolutely critical steps. If you don’t do this well, you’ve just got a bunch of analysis.

Charles Conn: We end up in exactly the same place where we started, which is people speaking across each other, past each other in the public square, rather than actually working together, shoulder to shoulder, to crack these important problems.

Simon London: In the real world, we have a lot of uncertainty—arguably, increasing uncertainty. How do good problem solvers deal with that?

Hugo Sarrazin: At every step of the process. In the problem definition, when you’re defining the context, you need to understand those sources of uncertainty and whether they’re important or not important. It becomes important in the definition of the tree.

You need to think carefully about the branches of the tree that are more certain and less certain as you define them. They don’t have equal weight just because they’ve got equal space on the page. Then, when you’re prioritizing, your prioritization approach may put more emphasis on things that have low probability but huge impact—or, vice versa, may put a lot of priority on things that are very likely and, hopefully, have a reasonable impact. You can introduce that along the way. When you come back to the synthesis, you just need to be nuanced about what you’re understanding, the likelihood.

Often, people lack humility in the way they make their recommendations: “This is the answer.” They’re very precise, and I think we would all be well-served to say, “This is a likely answer under the following sets of conditions” and then make the level of uncertainty clearer, if that is appropriate. It doesn’t mean you’re always in the gray zone; it doesn’t mean you don’t have a point of view. It just means that you can be explicit about the certainty of your answer when you make that recommendation.

Simon London: So it sounds like there is an underlying principle: “Acknowledge and embrace the uncertainty. Don’t pretend that it isn’t there. Be very clear about what the uncertainties are up front, and then build that into every step of the process.”

Hugo Sarrazin: Every step of the process.

Simon London: Yeah. We have just walked through a particular structured methodology for problem solving. But, of course, this is not the only structured methodology for problem solving. One that is also very well-known is design thinking, which comes at things very differently. So, Hugo, I know you have worked with a lot of designers. Just give us a very quick summary. Design thinking—what is it, and how does it relate?

Hugo Sarrazin: It starts with an incredible amount of empathy for the user and uses that to define the problem. It does pause and go out in the wild and spend an enormous amount of time seeing how people interact with objects, seeing the experience they’re getting, seeing the pain points or joy—and uses that to infer and define the problem.

Simon London: Problem definition, but out in the world.

Hugo Sarrazin: With an enormous amount of empathy. There’s a huge emphasis on empathy. Traditional, more classic problem solving is you define the problem based on an understanding of the situation. This one almost presupposes that we don’t know the problem until we go see it. The second thing is you need to come up with multiple scenarios or answers or ideas or concepts, and there’s a lot of divergent thinking initially. That’s slightly different, versus the prioritization, but not for long. Eventually, you need to kind of say, “OK, I’m going to converge again.” Then you go and you bring things back to the customer and get feedback and iterate. Then you rinse and repeat, rinse and repeat. There’s a lot of tactile building, along the way, of prototypes and things like that. It’s very iterative.

Simon London: So, Charles, are these complements or are these alternatives?

Charles Conn: I think they’re entirely complementary, and I think Hugo’s description is perfect. When we do problem definition well in classic problem solving, we are demonstrating the kind of empathy, at the very beginning of our problem, that design thinking asks us to approach. When we ideate—and that’s very similar to the disaggregation, prioritization, and work-planning steps—we do precisely the same thing, and often we use contrasting teams, so that we do have divergent thinking. The best teams allow divergent thinking to bump them off whatever their initial biases in problem solving are. For me, design thinking gives us a constant reminder of creativity, empathy, and the tactile nature of problem solving, but it’s absolutely complementary, not alternative.

Simon London: I think, in a world of cross-functional teams, an interesting question is do people with design-thinking backgrounds really work well together with classical problem solvers? How do you make that chemistry happen?

Hugo Sarrazin: Yeah, it is not easy when people have spent an enormous amount of time seeped in design thinking or user-centric design, whichever word you want to use. If the person who’s applying classic problem-solving methodology is very rigid and mechanical in the way they’re doing it, there could be an enormous amount of tension. If there’s not clarity in the role and not clarity in the process, I think having the two together can be, sometimes, problematic.

The second thing that happens often is that the artifacts the two methodologies try to gravitate toward can be different. Classic problem solving often gravitates toward a model; design thinking migrates toward a prototype. Rather than writing a big deck with all my supporting evidence, they’ll bring an example, a thing, and that feels different. Then you spend your time differently to achieve those two end products, so that’s another source of friction.

Now, I still think it can be an incredibly powerful thing to have the two—if there are the right people with the right mind-set, if there is a team that is explicit about the roles, if we’re clear about the kind of outcomes we are attempting to bring forward. There’s an enormous amount of collaborativeness and respect.

Simon London: But they have to respect each other’s methodology and be prepared to flex, maybe, a little bit, in how this process is going to work.

Hugo Sarrazin: Absolutely.

Simon London: The other area where, it strikes me, there could be a little bit of a different sort of friction is this whole concept of the day-one answer, which is what we were just talking about in classical problem solving. Now, you know that this is probably not going to be your final answer, but that’s how you begin to structure the problem. Whereas I would imagine your design thinkers—no, they’re going off to do their ethnographic research and get out into the field, potentially for a long time, before they come back with at least an initial hypothesis.

Want better strategies? Become a bulletproof problem solver

Want better strategies? Become a bulletproof problem solver

Hugo Sarrazin: That is a great callout, and that’s another difference. Designers typically will like to soak into the situation and avoid converging too quickly. There’s optionality and exploring different options. There’s a strong belief that keeps the solution space wide enough that you can come up with more radical ideas. If there’s a large design team or many designers on the team, and you come on Friday and say, “What’s our week-one answer?” they’re going to struggle. They’re not going to be comfortable, naturally, to give that answer. It doesn’t mean they don’t have an answer; it’s just not where they are in their thinking process.

Simon London: I think we are, sadly, out of time for today. But Charles and Hugo, thank you so much.

Charles Conn: It was a pleasure to be here, Simon.

Hugo Sarrazin: It was a pleasure. Thank you.

Simon London: And thanks, as always, to you, our listeners, for tuning into this episode of the McKinsey Podcast . If you want to learn more about problem solving, you can find the book, Bulletproof Problem Solving: The One Skill That Changes Everything , online or order it through your local bookstore. To learn more about McKinsey, you can of course find us at McKinsey.com.

Charles Conn is CEO of Oxford Sciences Innovation and an alumnus of McKinsey’s Sydney office. Hugo Sarrazin is a senior partner in the Silicon Valley office, where Simon London, a member of McKinsey Publishing, is also based.

Explore a career with us

Related articles.

Want better strategies? Become a bulletproof problem solver

Strategy to beat the odds

firo13_frth

Five routes to more innovative problem solving

  • Bipolar Disorder
  • Therapy Center
  • When To See a Therapist
  • Types of Therapy
  • Best Online Therapy
  • Best Couples Therapy
  • Best Family Therapy
  • Managing Stress
  • Sleep and Dreaming
  • Understanding Emotions
  • Self-Improvement
  • Healthy Relationships
  • Student Resources
  • Personality Types
  • Guided Meditations
  • Verywell Mind Insights
  • 2024 Verywell Mind 25
  • Mental Health in the Classroom
  • Editorial Process
  • Meet Our Review Board
  • Crisis Support

Overview of the Problem-Solving Mental Process

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

problem solving analysis examples

Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.

problem solving analysis examples

  • Identify the Problem
  • Define the Problem
  • Form a Strategy
  • Organize Information
  • Allocate Resources
  • Monitor Progress
  • Evaluate the Results

Frequently Asked Questions

Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.

The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.

It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.

In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.

The following steps include developing strategies and organizing knowledge.

1. Identifying the Problem

While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.

Some strategies that you might use to figure out the source of a problem include :

  • Asking questions about the problem
  • Breaking the problem down into smaller pieces
  • Looking at the problem from different perspectives
  • Conducting research to figure out what relationships exist between different variables

2. Defining the Problem

After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address

At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.

3. Forming a Strategy

After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.

The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.

  • Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
  • Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.

Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.

4. Organizing Information

Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.

When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.

5. Allocating Resources

Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.

If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.

At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.

6. Monitoring Progress

After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.

It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.

Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .

7. Evaluating the Results

After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.

Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.

A Word From Verywell​

It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.

Get Advice From The Verywell Mind Podcast

Hosted by therapist Amy Morin, LCSW, this episode of The Verywell Mind Podcast shares how you can stop dwelling in a negative mindset.

Follow Now : Apple Podcasts / Spotify / Google Podcasts

You can become a better problem solving by:

  • Practicing brainstorming and coming up with multiple potential solutions to problems
  • Being open-minded and considering all possible options before making a decision
  • Breaking down problems into smaller, more manageable pieces
  • Asking for help when needed
  • Researching different problem-solving techniques and trying out new ones
  • Learning from mistakes and using them as opportunities to grow

It's important to communicate openly and honestly with your partner about what's going on. Try to see things from their perspective as well as your own. Work together to find a resolution that works for both of you. Be willing to compromise and accept that there may not be a perfect solution.

Take breaks if things are getting too heated, and come back to the problem when you feel calm and collected. Don't try to fix every problem on your own—consider asking a therapist or counselor for help and insight.

If you've tried everything and there doesn't seem to be a way to fix the problem, you may have to learn to accept it. This can be difficult, but try to focus on the positive aspects of your life and remember that every situation is temporary. Don't dwell on what's going wrong—instead, think about what's going right. Find support by talking to friends or family. Seek professional help if you're having trouble coping.

Davidson JE, Sternberg RJ, editors.  The Psychology of Problem Solving .  Cambridge University Press; 2003. doi:10.1017/CBO9780511615771

Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. Published 2018 Jun 26. doi:10.3389/fnhum.2018.00261

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

  • A Step-by-Step Guide to A3 Problem Solving Methodology
  • Learn Lean Sigma
  • Problem Solving

Problem-solving is an important component of any business or organization. It entails identifying, analyzing, and resolving problems in order to improve processes, drive results, and foster a culture of continuous improvement. A3 Problem solving is one of the most effective problem-solving methodologies.

A3 Problem solving is a structured and systematic approach to problem-solving that originated with the lean manufacturing methodology. It visualizes the problem-solving process using a one-page document known as an A3 report. The A3 report provides an overview of the problem, data analysis, root causes, solutions, and results in a clear and concise manner.

A3 Problem Solving has numerous advantages, including improved communication, better decision-making, increased efficiency, and reduced waste. It is a powerful tool for businesses of all sizes and industries, and it is especially useful for solving complex and multi-faceted problems.

In this blog post, we will walk you through the A3 Problem Solving methodology step by step. Whether you are new to A3 Problem Solving or simply want to improve your skills, this guide will help you understand and apply the process in your workplace.

Table of Contents

What is a3 problem solving.

A3 Problem Solving is a structured and systematic approach to problem-solving that makes use of a one-page document called an A3 report to visually represent the process. The A3 report provides an overview of the problem, data analysis, root causes, solutions, and results in a clear and concise manner. The method was created within the framework of the Lean manufacturing methodology and is based on the principles of continuous improvement and visual management.

Looking for a A3 Problem solving template? Click here

Origin and History of A3 Problem Solving

A3 Problem Solving was developed by Toyota Motor Corporation and was first used in the manufacture of automobiles. The term “A3” refers to the size of the paper used to create the report, which is an ISO standard known as “A3”. The goal of the A3 report is to provide a visual representation of the problem-solving process that all members of the organisation can easily understand and share. A3 Problem Solving has been adopted by organisations in a variety of industries over the years, and it has become a widely used and recognised method for problem-solving.

Key Principles of A3 Problem Solving

The following are the key principles of A3 Problem Solving:

  • Define the problem clearly and concisely
  • Gather and analyze data to gain a deep understanding of the problem
  • Identify the root causes of the problem
  • Develop and implement effective solutions
  • Evaluate results and continuously improve

These principles serve as the foundation of the A3 Problem Solving methodology and are intended to assist organisations in continuously improving and achieving their objectives. Organizations can effectively solve problems, identify areas for improvement, and drive results by adhering to these principles.

Step 1: Define the Problem

Importance of clearly defining the problem.

The first step in the A3 Problem Solving process is critical because it lays the groundwork for the remaining steps. To define the problem clearly and accurately, you must first understand the problem and identify the underlying root cause. This step is critical because if the problem is not correctly defined, the rest of the process will be based on incorrect information, and the solution developed may not address the issue effectively.

The significance of defining the problem clearly cannot be overstated. It aids in the collection and analysis of relevant data, which is critical for developing effective solutions. When the problem is clearly defined, the data gathered is more relevant and targeted, resulting in a more comprehensive understanding of the issue. This will enable the development of solutions that are more likely to be effective because they are founded on a thorough and accurate understanding of the problem.

However, if the problem is not clearly defined, the data gathered may be irrelevant or incorrect, resulting in incorrect conclusions and ineffective solutions. Furthermore, the process of collecting and analysing data can become time-consuming and inefficient, resulting in resource waste. Furthermore, if the problem is not accurately defined, the solutions developed may fail to address the root cause of the problem, resulting in ongoing issues and a lack of improvement.

Techniques for Defining the Problem

The first step in the A3 Problem Solving process is to clearly and accurately define the problem. This is an important step because a clearly defined problem will help to ensure that the appropriate data is collected and solutions are developed. If the problem is not clearly defined, incorrect data may be collected, solutions that do not address the root cause of the problem, and time and resources may be wasted.

A problem can be defined using a variety of techniques, including brainstorming , root cause analysis , process mapping , and Ishikawa diagrams . Each of these techniques has its own advantages and disadvantages and can be used in a variety of situations depending on the nature of the problem.

Best Practice for Defining the Problem

In addition to brainstorming, root cause analysis, process mapping, and Ishikawa diagram s, best practices should be followed when defining a problem in A3 Problem Solving. Among these best practices are:

  • Define the issue in a specific and quantifiable way: It is critical to be specific and concise when defining the problem, as well as to quantify the problem in terms of its impact. This will help to ensure that all stakeholders understand the problem and that data collection is focused on the right areas.
  • Focus on the problem’s root cause: The A3 Problem Solving methodology is intended to assist organisations in identifying and addressing the root cause of a problem, rather than just the symptoms. Organizations can ensure that their solutions are effective and long-lasting by focusing on the root cause of the problem.
  • Ascertain that all stakeholders agree on the problem’s definition: All stakeholders must agree on the definition of the problem for the A3 Problem Solving process to be effective. This ensures that everyone is working towards the same goal and that the solutions developed are relevant and appropriate.
  • Consider the problem’s impact on the organisation and its stakeholders: It is critical to consider the impact of the problem on the organisation and its stakeholders when defining it. This will assist in ensuring that the appropriate data is gathered and that the solutions developed are relevant and appropriate.

Organizations can ensure that their problem is defined in a way that allows for effective data collection, analysis, and solution development by following these best practices. This will aid in the development of appropriate solutions and the effective resolution of the problem, resulting in improvements in the organization’s processes and outcomes.

Step 2: Gather Data

Gathering data in a3 problem solving.

Data collection is an important step in the A3 Problem Solving process because it allows organisations to gain a thorough understanding of the problem they are attempting to solve. This step entails gathering pertinent information about the problem, such as data on its origin, impact, and any related factors. This information is then used to help identify root causes and develop effective solutions.

One of the most important advantages of data collection in A3 Problem Solving is that it allows organisations to identify patterns and trends in data, which can be useful in determining the root cause of the problem. This information can then be used to create effective solutions that address the problem’s root cause rather than just its symptoms.

In A3 Problem Solving, data collection is a collaborative effort involving all stakeholders, including those directly impacted by the problem and those with relevant expertise or experience. Stakeholders can ensure that all relevant information is collected and that the data is accurate and complete by working together.

Overall, data collection is an important step in the A3 Problem Solving process because it serves as the foundation for effective problem-solving. Organizations can gain a deep understanding of the problem they are attempting to solve and develop effective solutions that address its root cause by collecting and analysing relevant data.

Data Collection Methods

In A3 Problem Solving, several data collection methods are available, including:

  • Observations
  • Process diagrams

The best data collection method will be determined by the problem being solved and the type of data required. To gain a complete understanding of the problem, it is critical to use multiple data collection methods.

Tools for Data Analysis and Visualization

Once the data has been collected, it must be analysed and visualised in order to gain insights into the problem. This process can be aided by the following tools:

  • Excel Spreadsheets
  • Flow diagrams
  • Pareto diagrams
  • Scatter Plots
  • Control diagrams

These tools can assist in organising data and making it easier to understand. They can also be used to generate visual representations of data, such as graphs and charts, to communicate the findings to others.

Finally, the data collection and analysis step is an important part of the A3 Problem Solving process. Organizations can gain a better understanding of the problem and develop effective solutions by collecting and analysing relevant data.

Step 3: Identify Root Causes

Identifying the root causes of the problem is the third step in the A3 Problem Solving process. This step is critical because it assists organisations in understanding the root causes of a problem rather than just its symptoms. Once the underlying cause of the problem is identified, it can be addressed more effectively, leading to more long-term solutions.

Overview of the Root Cause Analysis Process

The process of determining the underlying causes of a problem is known as root cause analysis. This process can assist organisations in determining why a problem is occurring and what can be done to prevent it from recurring in the future. The goal of root cause analysis is to identify the underlying cause of a problem rather than just its symptoms, allowing it to be addressed more effectively.

To understand Root cause analysis in more detail check out RCA in our Lean Six Sigma Yellow Belt Course Root Cause Analysis section

Techniques for Identifying Root Causes

There are several techniques for determining the root causes of a problem, including:

  • Brainstorming
  • Ishikawa diagrams (also known as fishbone diagrams)
  • Root Cause Tree Analysis

These methods can be used to investigate the issue in-depth and identify potential root causes. Organizations can gain a deeper understanding of the problem and identify the underlying causes that must be addressed by using these techniques.

Best Practices for Conducting Root Cause Analysis

It is critical to follow these best practices when conducting root cause analysis in A3 Problem Solving:

  • Make certain that all stakeholders participate in the root cause analysis process.
  • Concentrate on determining the root cause of the problem rather than just its symptoms.
  • Take into account all potential root causes, not just the most obvious ones.
  • To identify root causes, use a systematic approach, such as the 5 Whys or root cause tree analysis.

Organizations can ensure that root cause analysis is carried out effectively and that the root cause of the problem is identified by adhering to these best practises. This will aid in the development of appropriate solutions and the effective resolution of the problem.

Step 4: Develop Solutions

Developing solutions is the fourth step in the A3 Problem Solving process. This entails generating ideas and options for dealing with the problem, followed by selecting the best solution. The goal is to develop a solution that addresses the root cause of the problem and prevents it from recurring.

Solution Development in A3 Problem Solving

A3 solution development Problem solving is an iterative process in which options are generated and evaluated. The data gathered in the previous steps, as well as the insights and understanding gained from the root cause analysis, guide this process. The solution should be based on a thorough understanding of the problem and address the underlying cause.

Techniques for Developing Solutions

There are several techniques that can be used to develop solutions in A3 Problem Solving, including:

  • Brainwriting
  • Solution matrix
  • Multi voting
  • Force field analysis

These techniques can help to generate a range of options and to select the best solution.

Best Practice for Developing Solutions

It is critical to follow the following best practices when developing solutions in A3 Problem Solving:

  • Participate in the solution development process with all stakeholders.
  • Make certain that the solution addresses the underlying cause of the problem.
  • Make certain that the solution is feasible and achievable.
  • Consider the solution’s impact on the organisation and its stakeholders.

Organizations can ensure that the solutions they develop are effective and sustainable by adhering to these best practises. This will help to ensure that the problem is addressed effectively and that it does not reoccur.

Step 5: Implement Solutions

The final and most important step in the A3 Problem Solving methodology is solution implementation. This is the stage at which the identified and developed solutions are put into action to address the problem. This step’s goal is to ensure that the solutions are effective, efficient, and long-lasting.

The implementation Process

The implementation process entails putting the solutions developed in the previous step into action. This could include changes to processes, procedures, and systems, as well as employee training and education. To ensure that the solutions are effective, the implementation process should be well-planned and meticulously executed.

Techniques for Implementing Solutions

A3 Problem Solving solutions can be implemented using a variety of techniques, including:

  • Piloting the solution on a small scale before broadening its application
  • Participating in the implementation process with all relevant stakeholders
  • ensuring that the solution is in line with the goals and objectives of the organisation
  • Monitoring the solution to determine its effectiveness and make any necessary changes

Best Practice for Implementing Solutions

It is critical to follow these best practices when implementing solutions in A3 Problem Solving:

Make certain that all relevant stakeholders are involved and supportive of the solution. Have a clear implementation plan that outlines the steps, timeline, and resources required. Continuously monitor and evaluate the solution to determine its efficacy and make any necessary changes. Encourage all stakeholders to communicate and collaborate openly. Organizations can ensure that solutions are effectively implemented and problems are effectively addressed by adhering to these best practices. The ultimate goal is to find a long-term solution to the problem and improve the organization’s overall performance.

In conclusion, A3 Problem Solving is a comprehensive and structured methodology for problem-solving that can be applied in various industries and organisations. The A3 Problem Solving process’s five steps – Define the Problem, Gather Data, Identify Root Causes, Develop Solutions, and Implement Solutions – provide a road map for effectively addressing problems and making long-term improvements.

Organizations can improve their problem-solving skills and achieve better results by following the key principles, techniques, and best practices outlined in this guide. As a result, both the organisation and its stakeholders will benefit from increased efficiency, effectiveness, and satisfaction. So, whether you’re an experienced problem solver or just getting started, consider incorporating the A3 Problem Solving methodology into your work and start reaping the benefits right away.

Daniel Croft

Daniel Croft is a seasoned continuous improvement manager with a Black Belt in Lean Six Sigma. With over 10 years of real-world application experience across diverse sectors, Daniel has a passion for optimizing processes and fostering a culture of efficiency. He's not just a practitioner but also an avid learner, constantly seeking to expand his knowledge. Outside of his professional life, Daniel has a keen Investing, statistics and knowledge-sharing, which led him to create the website learnleansigma.com, a platform dedicated to Lean Six Sigma and process improvement insights.

Free Lean Six Sigma Templates

Improve your Lean Six Sigma projects with our free templates. They're designed to make implementation and management easier, helping you achieve better results.

5S Floor Marking Best Practices

In lean manufacturing, the 5S System is a foundational tool, involving the steps: Sort, Set…

How to Measure the ROI of Continuous Improvement Initiatives

When it comes to business, knowing the value you’re getting for your money is crucial,…

8D Problem-Solving: Common Mistakes to Avoid

In today’s competitive business landscape, effective problem-solving is the cornerstone of organizational success. The 8D…

The Evolution of 8D Problem-Solving: From Basics to Excellence

In a world where efficiency and effectiveness are more than just buzzwords, the need for…

8D: Tools and Techniques

Are you grappling with recurring problems in your organization and searching for a structured way…

How to Select the Right Lean Six Sigma Projects: A Comprehensive Guide

Going on a Lean Six Sigma journey is an invigorating experience filled with opportunities for…

  • Skip to main content
  • Skip to primary sidebar
  • Skip to footer

Additional menu

MindManager Blog

Nine essential problem solving tools: The ultimate guide to finding a solution

October 26, 2023 by MindManager Blog

Problem solving may unfold differently depending on the industry, or even the department you work in. However, most agree that before you can fix any issue, you need to be clear on what it is, why it’s happening, and what your ideal long-term solution will achieve.

Understanding both the nature and the cause of a problem is the only way to figure out which actions will help you resolve it.

Given that most problem-solving processes are part inspiration and part perspiration, you’ll be more successful if you can reach for a problem solving tool that facilitates collaboration, encourages creative thinking, and makes it easier to implement the fix you devise.

The problem solving tools include three unique categories: problem solving diagrams, problem solving mind maps, and problem solving software solutions.

They include:

  • Fishbone diagrams
  • Strategy maps
  • Mental maps
  • Concept maps
  • Layered process audit software
  • Charting software
  • MindManager

In this article, we’ve put together a roundup of versatile problem solving tools and software to help you and your team map out and repair workplace issues as efficiently as possible.

Let’s get started!

Problem solving diagrams

Mapping your way out of a problem is the simplest way to see where you are, and where you need to end up.

Not only do visual problem maps let you plot the most efficient route from Point A (dysfunctional situation) to Point B (flawless process), problem mapping diagrams make it easier to see:

  • The root cause of a dilemma.
  • The steps, resources, and personnel associated with each possible solution.
  • The least time-consuming, most cost-effective options.

A visual problem solving process help to solidify understanding. Furthermore, it’s a great way for you and your team to transform abstract ideas into a practical, reconstructive plan.

Here are three examples of common problem mapping diagrams you can try with your team:

1. Fishbone diagrams

Fishbone diagrams are a common problem solving tool so-named because, once complete, they resemble the skeleton of a fish.

With the possible root causes of an issue (the ribs) branching off from either side of a spine line attached to the head (the problem), dynamic fishbone diagrams let you:

  • Lay out a related set of possible reasons for an existing problem
  • Investigate each possibility by breaking it out into sub-causes
  • See how contributing factors relate to one another

MindManager Fishbone Diagram 1

Fishbone diagrams are also known as cause and effect or Ishikawa diagrams.

2. Flowcharts

A flowchart is an easy-to-understand diagram with a variety of applications. But you can use it to outline and examine how the steps of a flawed process connect.

Flowchart | MindManager

Made up of a few simple symbols linked with arrows indicating workflow direction, flowcharts clearly illustrate what happens at each stage of a process – and how each event impacts other events and decisions.

3. Strategy maps

Frequently used as a strategic planning tool, strategy maps also work well as problem mapping diagrams. Based on a hierarchal system, thoughts and ideas can be arranged on a single page to flesh out a potential resolution.

Strategy Toolkit MindManager 2018

Once you’ve got a few tactics you feel are worth exploring as possible ways to overcome a challenge, a strategy map will help you establish the best route to your problem-solving goal.

Problem solving mind maps

Problem solving mind maps are especially valuable in visualization. Because they facilitate the brainstorming process that plays a key role in both root cause analysis and the identification of potential solutions, they help make problems more solvable.

Mind maps are diagrams that represent your thinking. Since many people struggle taking or working with hand-written or typed notes, mind maps were designed to let you lay out and structure your thoughts visually so you can play with ideas, concepts, and solutions the same way your brain does.

By starting with a single notion that branches out into greater detail, problem solving mind maps make it easy to:

  • Explain unfamiliar problems or processes in less time
  • Share and elaborate on novel ideas
  • Achieve better group comprehension that can lead to more effective solutions

Mind maps are a valuable problem solving tool because they’re geared toward bringing out the flexible thinking that creative solutions require. Here are three types of problem solving mind maps you can use to facilitate the brainstorming process.

4. Mental maps

A mental map helps you get your thoughts about what might be causing a workplace issue out of your head and onto a shared digital space.

Mental Map | MindManager Blog

Because mental maps mirror the way our brains take in and analyze new information, using them to describe your theories visually will help you and your team work through and test those thought models.

5. Idea maps

Mental Map | MindManager Blog

Idea maps let you take advantage of a wide assortment of colors and images to lay down and organize your scattered thought process. Idea maps are ideal brainstorming tools because they allow you to present and explore ideas about the best way to solve a problem collaboratively, and with a shared sense of enthusiasm for outside-the-box thinking.

6. Concept maps

Concept maps are one of the best ways to shape your thoughts around a potential solution because they let you create interlinked, visual representations of intricate concepts.

Concept Map | MindManager Blog

By laying out your suggested problem-solving process digitally – and using lines to form and define relationship connections – your group will be able to see how each piece of the solution puzzle connects with another.

Problem solving software solutions

Problem solving software is the best way to take advantage of multiple problem solving tools in one platform. While some software programs are geared toward specific industries or processes – like manufacturing or customer relationship management, for example – others, like MindManager , are purpose-built to work across multiple trades, departments, and teams.

Here are three problem-solving software examples.

7. Layered process audit software

Layered process audits (LPAs) help companies oversee production processes and keep an eye on the cost and quality of the goods they create. Dedicated LPA software makes problem solving easier for manufacturers because it helps them see where costly leaks are occurring and allows all levels of management to get involved in repairing those leaks.

8. Charting software

Charting software comes in all shapes and sizes to fit a variety of business sectors. Pareto charts, for example, combine bar charts with line graphs so companies can compare different problems or contributing factors to determine their frequency, cost, and significance. Charting software is often used in marketing, where a variety of bar charts and X-Y axis diagrams make it possible to display and examine competitor profiles, customer segmentation, and sales trends.

9. MindManager

No matter where you work, or what your problem-solving role looks like, MindManager is a problem solving software that will make your team more productive in figuring out why a process, plan, or project isn’t working the way it should.

Once you know why an obstruction, shortfall, or difficulty exists, you can use MindManager’s wide range of brainstorming and problem mapping diagrams to:

  • Find the most promising way to correct the situation
  • Activate your chosen solution, and
  • Conduct regular checks to make sure your repair work is sustainable

MindManager is the ultimate problem solving software.

Not only is it versatile enough to use as your go-to system for puzzling out all types of workplace problems, MindManager’s built-in forecasting tools, timeline charts, and warning indicators let you plan, implement, and monitor your solutions.

By allowing your group to work together more effectively to break down problems, uncover solutions, and rebuild processes and workflows, MindManager’s versatile collection of problem solving tools will help make everyone on your team a more efficient problem solver.

Download a free trial today to get started!

Ready to take the next step?

MindManager helps boost collaboration and productivity among remote and hybrid teams to achieve better results, faster.

problem solving analysis examples

Why choose MindManager?

MindManager® helps individuals, teams, and enterprises bring greater clarity and structure to plans, projects, and processes. It provides visual productivity tools and mind mapping software to help take you and your organization to where you want to be.

Explore MindManager

Learn more

How it works

Transform your enterprise with the scalable mindsets, skills, & behavior change that drive performance.

Explore how BetterUp connects to your core business systems.

We pair AI with the latest in human-centered coaching to drive powerful, lasting learning and behavior change.

Build leaders that accelerate team performance and engagement.

Unlock performance potential at scale with AI-powered curated growth journeys.

Build resilience, well-being and agility to drive performance across your entire enterprise.

Transform your business, starting with your sales leaders.

Unlock business impact from the top with executive coaching.

Foster a culture of inclusion and belonging.

Accelerate the performance and potential of your agencies and employees.

See how innovative organizations use BetterUp to build a thriving workforce.

Discover how BetterUp measurably impacts key business outcomes for organizations like yours.

A demo is the first step to transforming your business. Meet with us to develop a plan for attaining your goals.

Request a demo

  • What is coaching?

Learn how 1:1 coaching works, who its for, and if it's right for you.

Accelerate your personal and professional growth with the expert guidance of a BetterUp Coach.

Types of Coaching

Navigate career transitions, accelerate your professional growth, and achieve your career goals with expert coaching.

Enhance your communication skills for better personal and professional relationships, with tailored coaching that focuses on your needs.

Find balance, resilience, and well-being in all areas of your life with holistic coaching designed to empower you.

Discover your perfect match : Take our 5-minute assessment and let us pair you with one of our top Coaches tailored just for you.

Find your Coach

Research, expert insights, and resources to develop courageous leaders within your organization.

Best practices, research, and tools to fuel individual and business growth.

View on-demand BetterUp events and learn about upcoming live discussions.

The latest insights and ideas for building a high-performing workplace.

  • BetterUp Briefing

The online magazine that helps you understand tomorrow's workforce trends, today.

Innovative research featured in peer-reviewed journals, press, and more.

Founded in 2022 to deepen the understanding of the intersection of well-being, purpose, and performance

We're on a mission to help everyone live with clarity, purpose, and passion.

Join us and create impactful change.

Read the buzz about BetterUp.

Meet the leadership that's passionate about empowering your workforce.

For Business

For Individuals

31 examples of problem solving performance review phrases

Find my Coach

Jump to section

You're doing great

You should think of improving

Tips to improve

Use these practical examples of phrases, sample comments, and templates for your performance review , 360-degree feedback survey, or manager appraisal.

The following examples not only relate to problem-solving but also conflict management , effective solutions, selecting the best alternatives, decision making , problem identification, analyzing effectively, and generally becoming an effective problem-solving strategist. Start using effective performance review questions to help better guide your workforce's development. 

Problem solving appraisal comments: you're doing great

  • You always maintain an effective dialogue with clients when they have technical problems. Being clear and articulate makes sure our customers' faults are attended to promptly.
  • You constantly make sure to look beyond the obvious you never stop at the first answer. You’re really good at exploring alternatives. Well done!
  • Keeping the supervisors and managers informed of status changes and requests is important. You’re really good at communicating the changes to the projects at all times. Keep it up!
  • You stay cool and collected even when things aren’t going according to plan or up in the air. This is a great trait to possess. Well done!
  • You’re excellent at giving an honest and logical analysis. Keep it up! Effectively diagnosing complex problems and reaching sustainable solutions is one of your strong points.
  • Your ability to ability to make complex systems into simple ones is truly a unique skill to possess. Well done!
  • You often identify practical solutions to every roadblock. You’re a real asset to the team! Great job.
  • You always listen actively and attentively to make sure you understand what the exact problem is and you come up with solutions in an effective manner.
  • You have an amazing ability to clearly explain options and solutions effectively and efficiently. Well done!
  • When driving projects, you can shift to other areas comfortably and easily. making sure the project runs smoothly. Great job!

problem-solving-performance-review-phrases-person-at-work-talking-to-boss

Problem solving performance review phrases: you should think of improving

  • You always seem too overwhelmed when faced with multiple problems. Try to think of ways to make problems more manageable so that they can be solved in a timely and effective manner.
  • Avoiding conflicts constantly with people is not a good idea as you will only build up personal frustration and nothing will be done to remedy the situation. Try to face people when there are problems and rectify problems when they occur.
  • Don’t allow demanding customers to rattle your cage too much. If they become too demanding, take a step back, regulate your emotions , and try to make use of online support tools to help you rectify problems these tools can help a lot!
  • It’s necessary that you learn from your past mistakes . You cannot keep making the same mistakes , as this is not beneficial to the company.
  • You tend to ask the same questions over and over again. Try to listen more attentively or take notes when colleagues are answering!
  • Providing multiple solutions in an indirect and creative approach will allow you to be more effective at problem-solving . if you struggle with this typically through viewing the problem in a new and unusual light.
  • You fail to provide staff with the appropriate amount of structure and direction. They must know the direction you wish them to go in to achieve their goals .
  • You need to be able to recognize repetitive trends to solve problems promptly.
  • You tend to have problems troubleshooting even the most basic of questions. As a problem solver and customer support person, it’s imperative that you can answer these questions easily.
  • Read through your training manual and make sure you fully understand it before attempting questions again.

problem-solving-performance-review-phrases-person-talking-at-work

Performance review tips to improve problem solving

  • Try to complain less about problems and come up with solutions to the problems more often. Complaining is not beneficial to progression and innovation.
  • As a problem solver, it’s important to be able to handle multiple priorities under short deadlines.
  • You need to be able to effectively distinguish between the cause and the symptoms of problems to solve them in an efficient and timely manner.
  • Try to anticipate problems in advance before they become major roadblocks down the road.
  • Try to view obstacles as opportunities to learn and thrive at the challenge of solving the problem.
  • Remember to prioritize problems according to their degree of urgency. It's important that you spend the majority of your time on urgent tasks over menial ones.
  • When putting plans into place, stick to them and make sure they are completed.
  • When solving problems, try to allocate appropriate levels of resources when undertaking new projects. It is important to become as efficient and as effective as possible.
  • Try to learn to pace yourself when solving problems to avoid burnout . You’re a great asset to the team and we cannot afford to lose at this point.
  • Meeting regularly with your staff to review results is vital to the problem-solving process.
  • Staff that has regular check-ins understand what it is that is required of them, what they are currently achieving, and areas they may need to improve. Try to hold one-on-one meetings every week.

Lead with confidence and authenticity

Develop your leadership and strategic management skills with the help of an expert Coach.

Madeline Miles

Madeline is a writer, communicator, and storyteller who is passionate about using words to help drive positive change. She holds a bachelor's in English Creative Writing and Communication Studies and lives in Denver, Colorado. In her spare time, she's usually somewhere outside (preferably in the mountains) — and enjoys poetry and fiction.

How a performance review template improves the feedback process

25 performance review questions (and how to use them), agile performance management: how to improve an agile team, 5 tactics for managing managers effectively — and why it matters, managers have a strong effect on team performance, for better or worse, how stanford executive education embraces vulnerability as a form of resilience, awakening human potential: developing people and driving performance in the new world of work, uk leaders develop future-minded skills with betterup, how to manage poor performance in 5 steps, similar articles, 10 problem-solving strategies to turn challenges on their head, teamwork skills self-appraisal comments: 40 example phrases, your complete guide to self-assessments (with examples), 30 communication feedback examples, 30 customer service review examples to develop your team, 15 tips for your end-of-year reviews, 37 innovation and creativity appraisal comments, 8 creative solutions to your most challenging problems, 10 performance review tips to drastically move the needle, stay connected with betterup, get our newsletter, event invites, plus product insights and research..

3100 E 5th Street, Suite 350 Austin, TX 78702

  • Platform Overview
  • Integrations
  • Powered by AI
  • BetterUp Lead
  • BetterUp Manage™
  • BetterUp Care™
  • Sales Performance
  • Diversity & Inclusion
  • Case Studies
  • Why BetterUp?
  • About Coaching
  • Find your Coach
  • Career Coaching
  • Communication Coaching
  • Life Coaching
  • News and Press
  • Leadership Team
  • Become a BetterUp Coach
  • BetterUp Labs
  • Center for Purpose & Performance
  • Leadership Training
  • Business Coaching
  • Contact Support
  • Contact Sales
  • Privacy Policy
  • Acceptable Use Policy
  • Trust & Security
  • Cookie Preferences

Image

  • RCA 101 – 5-Why Analysis (Free Training)
  • RCA 201 – Basic Failure Analysis
  • RCA 301 – PROACT® RCA Certification
  • RCA 401 – RCA Train The Trainer
  • Other Trainings
  • 5 Whys Root Cause Analysis Template
  • RCA Template
  • Chronic Failure Calculator

Root Cause Analysis with 5 Whys Technique (With Examples)

Sebastian Traeger

By Sebastian Traeger

Updated: April 23, 2024

Reading Time: 7 minutes

What Is the 5 Whys Technique?

Example of the 5 whys technique, how to conduct a 5 whys analysis in 5 steps, when to use a 5 whys analysis, using 5 whys template, tips for mastering the 5 whys technique, frequently asked questions about 5 whys.

With over two decades in business – spanning strategy consulting, tech startups and executive leadership – I am committed to helping your organization thrive.

At Reliability, we’re on a mission to help enhance strategic decision-making and operational excellence through the power of Root Cause Analysis, and I hope this article will be helpful! 

Our goal is to help you better understand 5 whys techniques by offering insights and practical tips based on years of experience. Whether you’re new to doing RCAs or a seasoned pro, we trust this will be useful in your journey towards working hard and working smart.

The 5 Whys Technique is like peeling an onion – it helps you uncover the underlying reasons behind a problem, layer by layer. By repeatedly asking “why” at least five times, this method digs deep to reveal the root cause of an issue. It’s a simple yet powerful problem-solving approach that aims to get to the heart of the matter rather than just addressing surface-level symptoms.

5 Whys Technique: A method that involves iteratively asking “why” five times to unveil the fundamental cause of a problem.

5 Why Example

In essence, the 5 Whys Technique is not just about fixing what’s broken on the surface; it’s about understanding and addressing the deeper issues that lead to problems in the first place.

The 5 Whys Technique is like a detective, uncovering the truth behind recurring problems. Let’s take a look at how this method works in two different scenarios.

Case Study: Manufacturing Defects

Imagine a company that keeps encountering the same manufacturing defects despite various attempts to fix them. By using the 5 Whys Technique, they discovered that the defects were not caused by faulty machinery, as previously assumed, but rather by human error due to unclear operating instructions. This realization led to improved training procedures and clear work guidelines, ultimately eliminating the defects.

Application in Service Industry

Now, consider a service industry struggling with frequent customer complaints and service failures. Through the 5 Whys Technique, it was revealed that these issues stemmed from inadequate staffing levels during peak hours. By addressing this root cause, such as hiring additional staff or adjusting schedules, the service quality can significantly improve, leading to higher customer satisfaction.

These examples illustrate how the 5 Whys Technique can be applied across different sectors to identify and address underlying issues effectively.

Step 1: Identify the Problem

Before diving into a 5 Whys analysis, it’s crucial to clearly identify the problem or issue at hand . This step sets the stage for the entire process and ensures that the focus remains on addressing the right concern. Take the time to gather relevant data, observe patterns, and consult with team members or stakeholders to gain a comprehensive understanding of the problem.

Step 2: Ask ‘Why’ Five Times

Once the problem is clearly defined, it’s time to start peeling back the layers. The process involves asking “why” five times, not necessarily limited to five questions but enough to delve deeper into the underlying causes of the problem . Each “why” serves as a gateway to uncovering additional factors contributing to the issue. This iterative approach helps in identifying not just one cause, but multiple interconnected elements that may be at play.

By consistently probing deeper with each “why,” you can reveal hidden complexities and nuances that may have been overlooked initially. This method allows for a more thorough understanding of the situation, paving the way for effective solutions that address root causes rather than surface-level symptoms.

This structured approach encourages critical thinking and enables teams to move beyond quick fixes towards sustainable improvements.

The 5 Whys Technique is a versatile problem-solving approach that can be applied in various scenarios to uncover root causes and drive continuous improvement. Here are two key situations where the 5 Whys Analysis can be particularly beneficial:

Recurring Issues

  • The 5 Whys Technique is especially useful when dealing with recurring issues. Whether it’s a manufacturing defect that keeps resurfacing or a persistent customer complaint in the service industry, this method helps identify the underlying reasons behind these repetitive problems. By repeatedly asking “why,” it becomes possible to trace the issue back to its root cause, allowing for targeted solutions that prevent reoccurrence.

Process Improvement

  • Organizations constantly strive to enhance their processes and workflows for increased efficiency and quality. When seeking to improve existing procedures, the 5 Whys Technique serves as a valuable tool. By systematically analyzing the factors contributing to inefficiencies or bottlenecks, teams can gain insights into how processes can be optimized at their core. This method enables organizations to make informed decisions about process improvements based on a deep understanding of the underlying issues.

In both cases, the 5 Whys Analysis offers a structured yet flexible approach to delve into complex problems, making it an indispensable tool for driving meaningful change and progress within organizations.

When it comes to conducting a 5 Whys analysis, utilizing a structured template can greatly facilitate the process and ensure a comprehensive investigation into the root cause identification. Using RCA software such as EasyRCA can benefit the team by streamlining your 5-why process. Here’s how organizations can benefit from using a template:

Screenshot of 5 Why Root Cause Analysis Software - EasyRCA 5 Why Template

Benefits of Using a Template

  • Streamlined Process: A well-designed 5 Whys template provides a clear framework for conducting the analysis, guiding teams through the iterative questioning process. This streamlines the investigation, making it easier to navigate and ensuring that no crucial aspects are overlooked.
  • Thorough Investigation: By following a predefined template, teams are prompted to explore various facets of the problem systematically. This ensures that all relevant factors are considered, leading to a more thorough and insightful investigation into the underlying causes.
  • Consistent Approach: Templates offer a standardized approach to conducting 5 Whys analyses within an organization. This consistency promotes uniformity in problem-solving methods across different teams or departments, enhancing overall efficiency and effectiveness.

Customizing the Template

Organizations have the flexibility to customize 5 Whys templates according to their specific needs and industry requirements. This adaptability allows for tailoring the template to address unique challenges and incorporate industry-specific considerations. Customization may include:

  • Adding Industry-Specific Prompts: Tailoring the template by incorporating prompts or questions relevant to particular industries or types of issues being analyzed.
  • Incorporating Visual Aids: Enhancing the template with visual aids such as flow charts or diagrams can help teams better understand and communicate complex causal relationships.
  • Iterative Refinement: Regularly reviewing and refining the template based on feedback and evolving organizational needs ensures that it remains aligned with current processes and challenges.

Customizing the template empowers organizations to harness the full potential of the 5 Whys Technique in addressing diverse problems while aligning with their unique operational contexts.

Encouraging Open Communication

In mastering the 5 Whys Technique as a problem-solving method, creating an environment that fosters open communication is paramount. When team members feel comfortable expressing their perspectives and insights, it leads to a more comprehensive exploration of the underlying causes of a problem. Encouraging open communication allows for diverse viewpoints to be considered, providing a holistic understanding of the issue at hand.

By promoting an atmosphere where individuals are empowered to voice their observations and concerns, the 5 Whys analysis can benefit from a rich tapestry of ideas and experiences. This inclusive approach not only enhances the depth of the analysis but also cultivates a sense of ownership and collective responsibility for addressing root causes within the team or organization.

Continuous Improvement Mindset

A key aspect of mastering the 5 Whys Technique is embracing a continuous improvement mindset. Rather than viewing problems as isolated incidents, this approach encourages teams to see them as opportunities for growth and development. By instilling a culture of continuous improvement, organizations can leverage the insights gained from 5 Whys analyzes to drive positive change across various aspects of their operations.

Fostering a mindset focused on continuous improvement entails actively seeking feedback, evaluating processes, and implementing iterative enhancements based on the findings. It involves an ongoing commitment to learning from past experiences and leveraging that knowledge to proactively address potential issues before they escalate. Embracing this mindset ensures that the 5 Whys Technique becomes ingrained in the organizational ethos, leading to sustained progress and resilience in problem-solving efforts.

As we wrap up our exploration of the 5 Whys Technique, let’s address some common questions that may arise regarding this powerful problem-solving method.

What is the primary goal of the 5 Whys Technique?

The primary goal of the 5 Whys Technique is to uncover the root cause of a problem by iteratively asking “why” at least five times. This approach aims to move beyond surface-level symptoms and address the underlying issues that lead to recurring problems.

Is the 5 Whys Technique limited to specific industries or sectors?

No, the 5 Whys Technique is versatile and can be applied across various industries and sectors. Whether it’s manufacturing, healthcare, service, or technology, this method offers a structured yet flexible approach to identifying root causes and driving continuous improvement.

How does the 5 Whys Technique contribute to continuous improvement?

By delving into the fundamental reasons behind problems, the 5 Whys Technique provides organizations with valuable insights for driving continuous improvement. It not only helps in resolving immediate issues but also fosters a culture of ongoing enhancement and development within an organization.

Can the 5 Whys Technique be used for complex problems with multiple contributing factors?

Yes, while initially designed as a simple and straightforward method, the 5 Whys Technique can certainly be applied to complex problems with multiple interconnected factors. By systematically probing deeper into each layer of causality, this technique enables a comprehensive understanding of intricate issues.

I hope you found this guide to 5 whys technique insightful and actionable! Stay tuned for more thought-provoking articles as we continue to share our knowledge. Success is rooted in a thorough understanding and consistent application, and we hope this article was a step in unlocking the full potential of Root Cause Analysis for your organization.

Reliability runs initiatives such as an online learning center focused on the proprietary PROACT® RCA methodology and EasyRCA.com software. For additional resources, visit Reliability Resources .

  • Root Cause Analysis /

Recent Posts

5 Root Cause Analysis Examples That Shed Light on Complex Issues

What Is Fault Tree Analysis (FTA)? Definition & Examples

Guide to Failure Mode and Effects Analysis (FMEA)

Root Cause Analysis Software

Our RCA software mobilizes your team to complete standardized RCA’s while giving you the enterprise-wide data you need to increase asset performance and keep your team safe.

Root Cause Analysis Training

[email protected]

Tel: 1 (800) 457-0645

Share article with friends:

  • Data Science
  • Data Analysis
  • Data Visualization
  • Machine Learning
  • Deep Learning
  • Computer Vision
  • Artificial Intelligence
  • AI ML DS Interview Series
  • AI ML DS Projects series
  • Data Engineering
  • Web Scrapping
  • 10 Best AI Tools for Data Analysts in 2024
  • 10 Best AI Tools For Data Analysis [2024]
  • Data Analysis Examples
  • 10 Best Generative AI Tools for Data Analysis in 2024
  • Top 10 Data Analytics Tools in 2024
  • Data Science for Beginners
  • Data Analysis in Excel
  • Best ChatGPT Plugin for Data Analysis
  • Data analysis challenges in the future
  • 30+ Top Data Analytics Projects in 2024 [With Source Codes]
  • Top 10 R Project Ideas for Beginners in 2024
  • 10 Best AI Tools for Stock Market Analysis [2024]
  • 10 Data Analytics Project Ideas
  • 100 Days of Data Analytics: A Complete Guide For Beginners
  • Capgemini Interview Experience For Differential Analysts 1(2023)
  • Top 10 Data Science Project Ideas for Beginners in 2024
  • Best Books to Learn Data Science for Beginners and Experts
  • Data Analysis in Financial Market – Where to Begin?
  • Data | Analysis Quiz | Question 1

15 Data Analysis Examples for Beginners in 2024

Data analysis is a multifaceted process that involves inspecting, cleaning, transforming, and modeling data to uncover valuable insights. It encompasses a wide array of techniques and methodologies, enabling organizations to interpret complex data structures and extract meaningful patterns.

15-Data-Analysis-Examples-for-Beginners-in-2024

Data Analysis Examples foe Beginners

In this article, we will explore about 15 Data Analysis Examples for Beginners in 2024.

Real-world Examples of Data Analysis for Beginners

The Applications of Data Analysis are vast and far-reaching, permeating various sectors and industries. Let’s explore 15 illuminating examples that highlight the versatility and impact of this powerful discipline.

Sales Trend Analysis

Businesses often leverage data analysis to assess sales data over different periods, identifying trends and patterns that can inform their strategies. For instance, a retail company might monitor quarterly sales data to pinpoint peak buying times, popular products, and emerging customer preferences. By doing so, they can adjust inventory management, marketing efforts, and sales strategies to align with consumer demands and seasonal fluctuations, ultimately enhancing profitability and operational efficiency.

Customer Segmentation

In this data analysis application, companies categorize their customer base into distinct groups based on specific criteria, such as purchasing behavior, demographics, or preferences. An online shopping platform, for example, might segment its customers into categories like frequent buyers, seasonal shoppers, or budget-conscious consumers. This analysis enables businesses to tailor marketing campaigns, product offerings, and customer experiences to appeal to each group’s unique needs, fostering improved engagement and driving business growth.

Social Media Sentiment Analysis

In the digital age, companies harness the power of data analysis to gauge public sentiment towards their products or brands by analyzing social media interactions. By examining comments, likes, shares, and other engagement metrics, they can assess overall customer satisfaction and identify areas for improvement. This type of analysis significantly impacts online reputation management, influencing marketing and public relations strategies.

Forecasting and Predictive Analysis

Data analysis plays a crucial role in predicting future trends or outcomes. An airline company, for instance, might analyze past data on seat bookings, flight timings, and passenger preferences to forecast future travel trends. This predictive analysis allows the airline to optimize flight schedules, plan for peak travel periods, and set competitive ticket prices, ultimately contributing to improved customer satisfaction and increased revenues.

Operational Efficiency Analysis

This form of data analysis focuses on optimizing internal processes within an organization. A manufacturing company might analyze data regarding machine performance, maintenance schedules, and production output to identify bottlenecks or inefficiencies. By addressing these issues, the company can streamline operations, improve productivity, and reduce costs, underscoring the importance of data analysis in achieving operational excellence.

Risk Assessment Analysis

Data analysis helps businesses identify potential risks that could adversely impact their operations or profits. An insurance company, for instance, might analyze customer data and historical claim information to estimate future claim risks. This analysis supports accurate premium setting and proactive risk management, mitigating potential financial hazards and highlighting the role of data analysis in sound risk management practices.

Recruitment and Talent Management Analysis

In this example, human resources departments scrutinize data concerning employee performance, retention rates, and skill sets. A technology firm might conduct an analysis to identify the skills and experience most prevalent among its top-performing employees. This analysis enables companies to attract and retain high-caliber talent, tailor training programs, and improve overall workforce effectiveness.

Supply Chain Optimization Analysis

This form of data analysis aims to enhance the efficiency of a business’s supply chain. A grocery store, for example, might examine sales data, warehouse inventory levels, and supplier delivery times to ensure the right products are in stock at the right time. This analysis can reduce warehousing costs, minimize stockouts or overstocks, and increase customer satisfaction, underscoring the role of data analysis in streamlining supply chains.

Web Analytics

In the digital era, businesses invest in data analysis to optimize their online presence and functionality. An e-commerce business might analyze website traffic data, bounce rates, conversion rates, and user engagement metrics. This analysis can guide website redesign, enhance user experience, and boost conversion rates, reflecting the importance of data analysis in digital marketing and web optimization.

Medical and Healthcare Analysis

Data analysis plays a crucial role in the healthcare sector. A hospital might analyze patient data, disease patterns, treatment outcomes, and more. This analysis can support evidence-based treatment plans, inform research on healthcare trends, and contribute to policy development. It can also enhance patient care by identifying efficient treatment paths and reducing hospitalization time, underscoring the significance of data analysis in the medical field.

Fraud Detection Analysis

In the financial and banking sector, data analysis is paramount in identifying and mitigating fraudulent activities. Banks might analyze transaction data, account activity, and user behavior trends to detect abnormal patterns indicative of fraud. By alerting the concerned authorities about suspicious activity, such analysis can prevent financial losses and protect customer assets, illustrating the importance of data analysis in ensuring financial security.

Energy Consumption Analysis

Utilities and energy companies often utilize data analysis to optimize their energy distribution and consumption. By evaluating data on customer usage patterns, peak demand times, and grid performance, companies can enhance energy efficiency, optimize grid operations, and develop more customer-centric services. This example showcases how data analysis can contribute to more sustainable and efficient resource utilization.

Market Research Analysis

Many businesses rely on data analysis to gauge market dynamics and consumer behaviors. A cosmetic brand, for instance, might analyze sales data, consumer feedback, and competitor information. Such analysis can provide useful insights into consumer preferences, popular trends, and competitive strategies, facilitating the development of products that align with market demands and showcasing how data analysis can drive business innovation.

Quality Control Analysis

Manufacturing industries often employ data analysis in their quality control processes. They may monitor operational data, machine performance, and product fault reports. By identifying causes of defects or inefficiencies, these industries can improve product quality, enhance manufacturing processes, and reduce waste, demonstrating the decisive role of data analysis in maintaining high-quality standards.

Economic and Policy Analysis

Government agencies and think tanks utilize data analysis to inform policy decisions and societal strategies. They might analyze data relating to employment rates, GDP, public health, or educational attainment. These insights can inform policy development, assess the impact of existing policies, and guide strategies for societal improvement, revealing that data analysis is a key tool in managing social and economic progression.

Analysis Techniques and Insights

The examples above highlight the diverse applications of data analysis, but it’s essential to delve deeper into the techniques and methodologies that enable these insights. From exploratory analysis to predictive modeling, each approach serves a unique purpose and provides distinct perspectives.

Exploratory Analysis

  • Exploratory analysis is often the starting point in a data analysis process, allowing researchers to understand the main characteristics of a dataset. This technique involves visual methods such as scatter plots, histograms, and box plots, enabling analysts to summarize the data’s primary aspects, check for missing values, and test assumptions.

Regression Analysis

  • Regression analysis is a statistical method used to understand the relationship between a dependent variable and one or more independent variables. It is commonly employed for forecasting, time series modeling, and identifying causal effect relationships between variables. This technique is widely used in areas such as machine learning and business intelligence.

Factor Analysis

  • Factor analysis is a technique used to reduce a large number of variables into fewer factors, capturing the maximum possible information from the original variables. This approach is often utilized in market research, customer segmentation, and image recognition, enabling analysts to identify underlying patterns and relationships within complex datasets.

Monte Carlo Simulation

  • Monte Carlo simulation is a technique that uses probability distributions and random sampling to estimate numerical results. It is frequently employed in risk analysis and decision-making scenarios where there is significant uncertainty, providing a powerful tool for exploring potential outcomes and informing strategic decisions.

Key Lessons from Implementing Data Analysis in Various Industries

As we delve into the various examples and techniques of data analysis, several valuable lessons emerge:

  • Embrace a Data-Driven Mindset: Successful organizations recognize the value of data-driven decision-making and actively incorporate data analysis into their strategic planning and operations.
  • Foster Cross-Functional Collaboration: Effective data analysis often requires collaboration between different departments and stakeholders, enabling a holistic understanding of the problem at hand and facilitating comprehensive solutions.
  • Invest in Talent and Technology: Developing a skilled workforce proficient in data analysis techniques and leveraging cutting-edge tools and technologies are crucial for extracting meaningful insights from complex datasets.
  • Prioritize Data Quality: The accuracy and reliability of data analysis outcomes are heavily dependent on the quality of the input data. Implementing robust data governance practices and ensuring data integrity is essential.
  • Continuously Adapt and Evolve: The field of data analysis is constantly evolving, with new techniques and methodologies emerging regularly. Embracing a culture of continuous learning and adaptation is vital to staying ahead of the curve.

Best Practices from Real-World Data Analysis

To maximize the benefits of data analysis and ensure its successful implementation, it is essential to adopt best practices. These include:

  • Clearly Define Objectives: Before embarking on a data analysis project, clearly define the objectives, questions, and metrics to be addressed, ensuring alignment with organizational goals.
  • Establish Data Governance Frameworks: Implement robust data governance frameworks to ensure data quality, security, and compliance with relevant regulations and policies.
  • Leverage Automation: Explore opportunities to automate repetitive tasks and processes within the data analysis workflow, improving efficiency and reducing the risk of human error.
  • Encourage Collaboration and Knowledge Sharing: Foster an environment that promotes collaboration, knowledge sharing, and cross-functional communication, enabling a holistic approach to data analysis.
  • Continuously Monitor and Iterate: Regularly monitor and evaluate the effectiveness of data analysis initiatives, iterating and refining processes as needed to ensure ongoing relevance and alignment with evolving business needs.

In the digital era, data analysis has become a vital tool for organizations, enabling them to unleash the full potential of their data. The examples presented demonstrate the wide-ranging impact of data analysis, from operational optimization to driving innovation. Embracing a data-driven approach and staying current with emerging technologies will be key to unlocking future growth and success.

Data Analysis Examples for Beginners in 2024 – FAQs

What are some common examples of data analysis.

Common examples include sales data analysis for identifying trends, customer behavior analysis for marketing, and financial data analysis for predicting market trends.

Can you provide an example of data analysis in business?

Using sales data to identify top-selling products and make informed decisions about inventory and marketing strategies is a common example of data analysis in business.

How is data analysis used in healthcare?

Data analysis in healthcare involves studying patient records to identify disease patterns and treatment outcomes, aiding in improved patient care and resource allocation.

What are some examples of data visualization in data analysis?

Examples of data visualization include bar charts and line graphs for representing trends, and heat maps for spatial data analysis and identifying patterns.

Please Login to comment...

Similar reads.

  • Data Analytics Blogs
  • AI-ML-DS Blogs

advertisewithusBannerImg

Improve your Coding Skills with Practice

 alt=

What kind of Experience do you want to share?

An effective computational solver for fractal-fractional 2D integro-differential equations

  • Original Research
  • Published: 07 May 2024

Cite this article

problem solving analysis examples

  • P. Rahimkhani 1 ,
  • S. Sedaghat 2 &
  • Y. Ordokhani   ORCID: orcid.org/0000-0002-5167-6874 3  

In this paper, we develop a computational approach for fractal-fractional integro-differential equations (FFIDEs) in Atangana–Riemann–Liouville sense. This plan focuses on the Chelyshkov polynomials (ChPs) and the utilization of the Legendre–Gauss quadrature rule. The operational matrices (OMs) of integration, integer-order derivative and fractal-fractional-order derivative are calculated. These matrices in comparison to OMs existing in other methods are more accurate. The method consists of approximating the exiting functions in terms of basis functions. Using the provided OMs alongside the Legendre collocation points, the original problem is converted into a set of nonlinear algebraic equations containing unknown parameters. An error analysis is presented to demonstrate the convergence order of the approach. We demonstrate the effectiveness and reliability of the proposed technique by solving numerical examples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price includes VAT (Russian Federation)

Instant access to the full article PDF.

Rent this article via DeepDyve

Institutional subscriptions

problem solving analysis examples

Data Availability

Data will be made available on reasonable request.

Abro, K.A., Atangana, A.: Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Math. Methods Appl. Sci. 43 (10), 6378–6395 (2020)

Article   MathSciNet   Google Scholar  

Abro, K.A., Atangana, A.: A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal-fractional differentiations. Eur. Phys. J. Plus 135 (2), 1–16 (2020)

Article   Google Scholar  

Atangana, A., Khan, M.A.: Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator. Alex. Eng. J. 59 (4), 1985–1998 (2020)

Wang, W., Khan, M.A.: Analysis and numerical simulation of fractional model of bank data with fractal-fractional Atangana-Baleanu derivative. J. Comput. Appl. Math. 369 , 112646 (2020)

Srivastava, H.M., Saad, K.M.: Numerical simulation of the fractal-fractional Ebola virus. Fractal Fract 4 (4), 1–13 (2020)

Atangana, A., Qureshi, S.: Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Chaos Solitons Fractals 123 , 320–337 (2019)

Abro, K.A., Atangana, A.: Numerical and mathematical analysis of induction motor by means of AB-fractal-fractional differentiation actuated by drilling system. Numerical Methods for Partial Differential Equations 38 (3), 293–307 (2022)

MathSciNet   Google Scholar  

Ahmad, I., Ahmad, N., Shah, K., Abdeljawad, T.: Some appropriate results for the existence theory and numerical solutions of fractals-fractional order malaria disease mathematical model. Results Control Optim. 14 , 100386 (2024)

Shah, K., Abdeljawad, T.: On complex fractal-fractional order mathematical modeling of CO 2 emanations from energy sector. Phys. Scr. 99 (1), 015226 (2023)

Khan, Z.A., Shah, K., Abdalla, B., Abdeljawad, T.: A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative. Fractals 31 (08), 2340181 (2023)

Khan, Z.A., Rahman, M., Shah, K.: Study of a fractal-fractional smoking models with relapse and harmonic mean type incidence rate. J. Funct. Spaces 2021 , 1–11 (2021)

Hosseininia, M., Heydari, M.H., Maalek Ghaini, F.M., Avazzadeh, Z.: A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Engineering Analysis with Boundary Elements 127 , 8–17 (2021)

Hosseininia, M., Heydari, M.H., Avazzadeh, Z.: The numerical treatment of nonlinear fractal-fractional 2D Emden-Fowler equation utilizing 2D Chelyshkov polynomials. Fractals 28 (08), 2040042 (2020)

Dehestani, H., Ordokhani, Y.: Developing the discretization method for fractal-fractional two-dimensional Fredholm–Volterra integro-differential equations. Math. Methods Appl. Sci. 44 (18), 14256–14273 (2021)

Dehestani, H., Ordokhani, Y.: An optimum method for fractal-fractional optimal control and variational problems. Int. J. Dyn. Control. pp. 1–13 (2022)

Shah, K., Sarwar, M., Abdeljawad, Shafiullah, T.: Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with couple integral boundary conditions. J. Appl. Math. Comput. pp. 1–15 (2024)

Shafiullah, K., Shah, M., Sarwar, T.: Abdeljawad, On theoretical and numerical analysis of fractal-fractional non-linear hybrid differential equations. Nonlinear Eng. 13 (1), 20220372 (2024)

Heydari, M.H.: Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Appl. Numer. Math. 150 , 507–518 (2020)

Heydari, M.H., Atangana, A., Avazzadeh, Z.: Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Math. Methods Appl. Sci. 44 (4), 2952–2963 (2021)

Araz, S.I.: Numerical analysis of a new volterra integro-differential equation involving fractal-fractional operators. Chaos Solitons Fractals 130 , 109396 (2020)

Rahimkhani, P., Ordokhani, Y., Sedaghat, S.: The numerical treatment of fractal-fractional 2D optimal control problems by Müntz-Legendre polynomials. Optim. Control Appl. Methods 44 (6), 3033–3051 (2023)

Rahimkhani, P., Heydari, M.H.: Fractional shifted Morgan–Voyce neural networks for solving fractal-fractional pantograph differential equations. Chaos Solitons Fractals 175 , 114070 (2023)

Meleshko, S. V., Grigoriev, Y. N., Ibragimov, N. K., and Kovalev, V. F.: Symmetries of integro-differential equations: with applications in mechanics and plasma physics. Springer Science and Business Media (2010)

Mashayekhi, S., Sedaghat, S.: Fractional model of stem cell population dynamics. Chaos Solitons Fractals 146 , 110919 (2021)

Medlock, J., Kot, M.: Spreading disease: integro-differential equations old and new. Math. Biosci. 184 (2), 201–222 (2003)

Rahimkhani, P., Ordokhani, Y., Babolian, E.: Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations. Appl. Numer. Math. 122 , 66–81 (2017)

Rahimkhani, P., Ordokhani, Y.: Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations. Math. Sci. (2023). https://doi.org/10.1007/s40096-023-00514-3

Khader, M.M., Sweilam, N.H.: On the approximate solutions for system of fractional integro-differential equations using Chebyshev pseudo-spectral method. Appl. Math. Model. 37 , 9819–9828 (2013)

Saadatmandi, A., Dehghan, M.: A Legendre collocation method for fractional integro-differential equations. J. Vib. Control 17 (13), 2050–2058 (2011)

Nemati, S., Sedaghat, S., Mohammadi, I.: A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels. J. Comput. Appl. Math. 308 , 231–242 (2016)

Nemati, S., Lima, P.M., Sedaghat, S.: Legendre wavelet collocation method combined with the Gauss Jacobi quadrature for solving fractional delay-type integro-differential equations. Appl. Numer. Math. 149 , 99–112 (2020)

Rahimkhani, P., Ordokhani, Y.: Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions. J. Comput. Appl. Math. 365 , 112365 (2020)

Doha, E., Abdelkawy, M., Amin, A., Baleanu, D.: Spectral technique for solving variable-order fractional Volterra integro-differential equations. Numer. Methods Partial Differ. Equ. 34 (5), 1659–1677 (2018)

Chelyshkov, V.S.: Alternative orthogonal polynomials and quadratures. Electron. Trans. Numer. Anal. 25 (7), 17–26 (2006)

Talaei, Y., Asgari, M.: An operational matrix based on Chelyshkov polynomials for solving multi-order fractional differential equations. Neural Comput. Appl. 30 (5), 1369–1376 (2018)

Moradi, L., Mohammadi, F., Baleanu, D.: A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets. J. Vib. Control 25 (2), 310–324 (2019)

Rahimkhani, P., Ordokhani, Y.: Chelyshkov least squares support vector regression for nonlinear stochastic differential equations by variable fractional Brownian motion. Chaos Solitons Fractals 163 , 112570 (2022)

Rahimkhani, P., Ordokhani, Y., Lima, P.M.: An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets. Appl. Numer. Math. 145 , 1–27 (2019)

Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations, vol 204. Elsevier (2006)

Granas, A., Dugundji, J.: Elementary fixed point theorems. In: Fixed Point Theory, Berlin: Springer, pp. 9–84 (2003)

Rahimkhani, P., Ordokhani, Y.: Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz-Legendre wavelets. Optim. Control Appl. Methods 39 (6), 1916–1934 (2018)

Canuto, C., Hussaini, M., Quarteroni, A., Zang, T.A.: Spectral Methods: Fundamentals in Single Domains. Springer, Berlin (2006)

Book   Google Scholar  

Kreyszig, E.: Introductory Functional Analysis with Applications. Wiley (1991)

Andrews, G. E., Askey, R., Roy, R.: Special functions. Encyclopedia of Mathematics and its Applications Vol 71. Cambridge University Press (1999)

Download references

Acknowledgements

We express our sincere thanks to the anonymous referees for valuable suggestions that improved the paper.

Author information

Authors and affiliations.

Faculty of Science, Mahallat Institute of Higher Education, Mahallat, Iran

P. Rahimkhani

Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

S. Sedaghat

Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran

Y. Ordokhani

You can also search for this author in PubMed   Google Scholar

Contributions

All authors contributed equally and significantly in writing this article. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Y. Ordokhani .

Ethics declarations

Conflict of interest.

The authors wish to confirm that there are no known Conflict of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.

Additional information

Publisher's note.

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Rahimkhani, P., Sedaghat, S. & Ordokhani, Y. An effective computational solver for fractal-fractional 2D integro-differential equations. J. Appl. Math. Comput. (2024). https://doi.org/10.1007/s12190-024-02099-z

Download citation

Received : 07 March 2024

Revised : 16 April 2024

Accepted : 18 April 2024

Published : 07 May 2024

DOI : https://doi.org/10.1007/s12190-024-02099-z

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Fractal-fractional integro-differential equations
  • Mittag–Leffler kernel
  • Operational matrix
  • Chelyshkov polynomials
  • Convergence analysis.

Mathematics Subject Classification

  • Find a journal
  • Publish with us
  • Track your research

COMMENTS

  1. 26 Expert-Backed Problem Solving Examples

    The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate. 1. Analytical Thinking. Situation: In my previous role as a data analyst, our team encountered a significant drop in website traffic.

  2. What is Problem Solving? (Steps, Techniques, Examples)

    The problem-solving process typically includes the following steps: Identify the issue: Recognize the problem that needs to be solved. Analyze the situation: Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present. Generate potential solutions: Brainstorm a list of possible ...

  3. 35 problem-solving techniques and methods for solving complex problems

    Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward. Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

  4. What Are Problem-Solving Skills? Definitions and Examples

    Active listening. Analysis. Research. Creativity. Communication. Decision-making. Team-building. Problem-solving skills are important in every career at every level. As a result, effective problem-solving may also require industry or job-specific technical skills.

  5. The 5 Steps In Problem Analysis

    There are five useful steps that can be taken to gain a better understanding of the problem before developing a solution. Gain agreement on the problem definition. Understand the root-causes - the problem behind the problem. Identify the stakeholders and the users. Define the solution boundary.

  6. 7 Problem-Solving Skills That Can Help You Be a More ...

    Although problem-solving is a skill in its own right, a subset of seven skills can help make the process of problem-solving easier. These include analysis, communication, emotional intelligence, resilience, creativity, adaptability, and teamwork. 1. Analysis. As a manager, you'll solve each problem by assessing the situation first.

  7. What is Problem Solving? Steps, Process & Techniques

    Problem Solving Resources. You can also search articles, case studies, and publications for problem solving resources. Books. Innovative Business Management Using TRIZ. Introduction To 8D Problem Solving: Including Practical Applications and Examples. The Quality Toolbox. Root Cause Analysis: The Core of Problem Solving and Corrective Action ...

  8. What Are Problem-Solving Skills? Definition and Examples

    Problem-Solving Skills Examples. Problem-solving includes three main parts: identifying the problem, analyzing possible solutions, and deciding on the best course of action. ... "The goal of analysis isn't to solve a problem, actually — it's to better understand it because that's where the real solution will be found," Gretchen ...

  9. How to analyze a problem

    Before jumping in, it's crucial to plan the analysis, decide which analytical tools to use, and ensure rigor. Check out these insights to uncover ways data can take your problem-solving techniques to the next level, and stay tuned for an upcoming post on the potential power of generative AI in problem-solving. The data-driven enterprise of 2025.

  10. How to master the seven-step problem-solving process

    When we do problem definition well in classic problem solving, we are demonstrating the kind of empathy, at the very beginning of our problem, that design thinking asks us to approach. When we ideate—and that's very similar to the disaggregation, prioritization, and work-planning steps—we do precisely the same thing, and often we use ...

  11. 5 Examples of Problem Analysis

    A problem analysis is an investigation of the causes of an incident, issue or failure. This is done to identify improvements to systems, processes, procedures, designs and culture. The following are common types of problem analysis. ... 72 Examples of Problem Solving » ...

  12. What Is Problem Analysis? (With Processes and Useful Types)

    Solving a problem involves identifying the issue, understanding the cause, evaluating the symptoms, and finding a solution. Understanding the importance of issue analysis can help you develop feasible solutions to workplace problems and increase your value as an employee. In this article, we define problem analysis, outline the types, and ...

  13. 14 Effective Problem-Solving Strategies

    14 types of problem-solving strategies. Here are some examples of problem-solving strategies you can practice using to see which works best for you in different situations: 1. Define the problem. Taking the time to define a potential challenge can help you identify certain elements to create a plan to resolve them.

  14. Problem-Solving Strategies: Definition and 5 Techniques to Try

    In insight problem-solving, the cognitive processes that help you solve a problem happen outside your conscious awareness. 4. Working backward. Working backward is a problem-solving approach often ...

  15. 10 Problem-solving strategies to turn challenges on their head

    2. Break the problem down. Identifying the problem allows you to see which steps need to be taken to solve it. First, break the problem down into achievable blocks. Then, use strategic planning to set a time frame in which to solve the problem and establish a timeline for the completion of each stage. 3.

  16. Problem-Solving Skills Examples for Your Resume [2024]

    Here are a few problem-solving skills examples for your sales resume to set yourself apart from the competition: Analyzing market trends and competitor activity to identify opportunities for growth and competitive advantage. Troubleshooting and resolving customer complaints or issues to ensure customer satisfaction.

  17. The Problem-Solving Process

    Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue. The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything ...

  18. A Step-by-Step Guide to A3 Problem Solving Methodology

    A3 Problem Solving is a structured and systematic approach to problem-solving that makes use of a one-page document called an A3 report to visually represent the process. The A3 report provides an overview of the problem, data analysis, root causes, solutions, and results in a clear and concise manner.

  19. 9 essential problem solving tools: the ultimate guide

    Problem solving software is the best way to take advantage of multiple problem solving tools in one platform. While some software programs are geared toward specific industries or processes - like manufacturing or customer relationship management, for example - others, like MindManager , are purpose-built to work across multiple trades ...

  20. 31 examples of problem solving performance review phrases

    The following examples not only relate to problem-solving but also conflict management, effective solutions, selecting the best alternatives, decision making, problem identification, analyzing effectively, and generally becoming an effective problem-solving strategist. Start using effective performance review questions to help better guide your ...

  21. 45 Examples of Analytical Skills in the Workplace

    9. Problem-solving Problem-solving skills are key analytical abilities. These skills help you find solutions for issues using various methods, such as interpretation or communication. Having problem-solving skills is important for most professionals, as it allows them to work independently and suggest solutions to workplace problems. 10 ...

  22. What Is a Fishbone Diagram?

    A fishbone diagram is a problem-solving approach that uses a fish-shaped diagram to model possible root causes of problems and troubleshoot possible solutions. It is also called an Ishikawa diagram, after its creator, Kaoru Ishikawa, as well as a herringbone diagram or cause-and-effect diagram. Fishbone diagrams are often used in root cause ...

  23. Problem-solving skills: definitions and examples

    Problem-solving skills examples To solve a problem effectively, you need to use a range of different skills. Here are some examples of the skills and abilities you may use when solving a problem at work: Research; Analysis; Decision-making; Communication; Creativity; Research Research involves gathering information related to an issue or question.

  24. Root Cause Analysis with 5 Whys Technique (With Examples)

    Step 1: Identify the Problem. Before diving into a 5 Whys analysis, it's crucial to clearly identify the problem or issue at hand. This step sets the stage for the entire process and ensures that the focus remains on addressing the right concern. Take the time to gather relevant data, observe patterns, and consult with team members or ...

  25. 15 Data Analysis Examples for Beginners in 2024

    15 Data Analysis Examples for Beginners in 2024. Data analysis is a multifaceted process that involves inspecting, cleaning, transforming, and modeling data to uncover valuable insights. It encompasses a wide array of techniques and methodologies, enabling organizations to interpret complex data structures and extract meaningful patterns.

  26. An effective computational solver for fractal-fractional 2D integro

    The established algorithm transforms solving the main problem into solving a system of algebraic equations, which can be solved using a suitable numerical technique. Approximation with the ChPs has short CPU time. Implementing this scheme is very convenient and effective for other kinds of FF partial differential equations.