Shape of a Data Distribution
New york state common core math grade 6, module 6, lesson 20.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
Helping math teachers bring statistics to life
Analyzing Discrete Random Variables
Chapter 5 - day 2 - lesson 5.2, all chapters, learning targets.
Make a histogram to display the probability distribution of a discrete random variable and describe its shape.
Calculate and interpret the mean (expected value) of a discrete random variable.
Calculate and interpret the standard deviation of a discrete random variable.
Activity: Who will win in skee ball?
Answer Key:
In this activity, students must predict which Stats Medic will win the Skee Ball game, based on probability and expected value. We really like this activity because students will get contradictory evidence as they work through the activity, ultimately revealing a need for expected value. Question #3 suggests that Mr. Wilcox will win. Question #4 likely shows that they will tie. Question #5 should reveal that Ms. Gallas is more likely to win (true story).
Question #4 is written with the intention that students will do the wrong calculation for the mean. Almost all of our students reverted to the one formula for mean with which they are familiar (add up all the values and divide by 5).
Why do we need weighted means?
In Chapter 1 when we calculated a mean, we simply added up all the values and divided by the total number of values. In this context, we would get a mean of:
This works great if each of the values is equally likely to occur. But we know from the probability table that each of these values are not equally likely. Some of the values occur more frequently than others and should be weighted more. We do this by calculating a weighted mean:
It is important to note that back in Chapter 1 when we were calculating means, we were in fact using weighted means. It just so happens that because all of the values are equally likely to occur, they all have a probability of 1/5 = 0.20. So when we divided the total by 5, we were really just weighting each value by 0.20:
Teaching Tip:
Students can use the Applet or a TI calculator to get the standard deviation of a discrete random variable, rather than calculating it by hand using the formula. Regardless of which method your students are using to get the standard deviation, it is more important that they can interpret the value. In our Skee Ball context, a randomly selected score from Mr. Wilcox “typically differs from the mean” of 22.6 by 12.777 points.
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
To log in and use all the features of Khan Academy, please enable JavaScript in your browser.
Course: 6th grade > Unit 11
- Shapes of distributions
Shape of distributions
- Clusters, gaps, peaks & outliers
- Clusters, gaps, & peaks in data distributions
- Data and statistics FAQ
- (Choice A) Roughly symmetric A Roughly symmetric
- (Choice B) Skewed left B Skewed left
- (Choice C) Skewed right C Skewed right
Finished Papers
I ordered a paper with a 3-day deadline. They delivered it prior to the agreed time. Offered free alterations and asked if I want them to fix something. However, everything looked perfect to me.
Our Team of Professional Essay Writers
As we are an honest and well-paying essay writer service, writers come flying our way. Nonetheless, in the writers' community, we are known for our strict selection process. You as a client can be sure that you will be working with the best paper writer in the game no matter your subject or the difficulty of the task as all our writers go through testing and have their degrees checked. Only 3% of all applicants are accepted to work with us and even these 3% have a training program and a two-month trial period ahead. We value our reputation and only hire true experts with years of experience in academic writing behind their backs. Nonetheless, being a professional writers service has its challenges. For example, as our employer expectations are high, not all writers can handle the challenge of creating zero-plagiarism essay writing content in a short time frame, so as leading writing services we must keep everything in control.
We are inclined to write as per the instructions given to you along with our understanding and background research related to the given topic. The topic is well-researched first and then the draft is being written.
- Article Sample
- Terms & Conditions
- Privacy Policy
Please fill the form correctly
Laura V. Svendsen
10 question spreadsheets are priced at just .39! Along with your finished paper, our essay writers provide detailed calculations or reasoning behind the answers so that you can attempt the task yourself in the future.
Frequently Asked Questions
Finished Papers
Write essay for me and soar high!
We always had the trust of our customers, and this is due to the superior quality of our writing. No sign of plagiarism is to be found within any content of the entire draft that we write. The writings are thoroughly checked through anti-plagiarism software. Also, you can check some of the feedback stated by our customers and then ask us to write essay for me.
Gombos Zoran
Pricing depends on the type of task you wish to be completed, the number of pages, and the due date. The longer the due date you put in, the bigger discount you get!
Essay Help Services – Sharing Educational Integrity
Hire an expert from our writing services to learn from and ace your next task. We are your one-stop-shop for academic success.
Amount to be Paid
Customer Reviews
Pricing depends on the type of task you wish to be completed, the number of pages, and the due date. The longer the due date you put in, the bigger discount you get!
Gombos Zoran
IMAGES
VIDEO
COMMENTS
Lesson 6 Homework Practice Analyze Data Distributions 1. CARNIVALS The number of people that attended the carnival each year is shown in the graph at the right. a. Describe the shape of the distribution. Identify any clusters, gaps, peaks, or outliers. b. Describe the center and spread of the distribution. Justify your response based on the ...
Study with Quizlet and memorize flashcards containing terms like Twenty high school students were asked how many hours of TV they watch each day. The dot plot above represents their answers. How many students watch 3 hours or less?, Using the histogram above, determine the grade students scored with the highest frequency., The box-and-whisker plot shows the range of work commutes for New York ...
Day 5: Lesson 5.3 - Binomial Random Variables Day 6: Lesson 5.4 - Analyzing Binomial Random Variables Day 7: Quiz 5.1 to 5.4 Day 8: Lesson 5.5 - Continuous Random Variables Day 9: Lesson 5.6 - The Standard Normal Distribution Day 10: Lesson 5.7 - Normal Distributions Calculations Day 11: Normal Distributions Practice Day 12: Quiz 5.5 to 5.7
Lesson 6 Skills Practice Analyze Data Distributions 1. AGES The graph shows the ages of people in a play. a. Describe the shape of the distribution. Identify any clusters, gaps, peaks, or outliers. b. Describe the center and spread of the distribution. Justify your response based on the shape of the distribution. 2.
average. add a group of numbers and divide them by the number of items. sort. To arrange data alphabetically, numerically, or chronologically. analyze. look closely at data to see what it means. range. A group of selected cells. Study with Quizlet and memorize flashcards containing terms like average, sort, analyze and more.
Practice. Statistical questions Get 5 of 7 questions to level up! Dot plots & frequency tables. Learn. Representing data (Opens a modal) ... Clusters, gaps, & peaks in data distributions Get 5 of 7 questions to level up! Quiz 4. Level up on the above skills and collect up to 240 Mastery points Start quiz. Up next for you:
Practice. Statistical questions Get 5 of 7 questions to level up! Lesson 3: Representing data graphically ... Lesson 5: Using dot plots to answer statistical questions. Learn. No videos or articles available in this lesson; Practice. Reading dot plots & frequency tables Get 3 of 4 questions ... Clusters, gaps, & peaks in data distributions Get ...
Lesson 5 Homework Practice Measures of Variation For Exercises 1 and 2, find the mean absolute deviation of each set of data. Round to the nearest tenth if necessary. Describe what the mean absolute deviation represents. 1. Exercise Time (min) 45 100 60 75 75 90 90 105 2. Food Items Donated 38 44 46 47 52 55 3. Refer to the table in Exercise 1.
Lesson 6 Problem-Solving Practice Analyze Data Distributions FALL The line plot shows the number of restaurants people went to in the past month. Use the information in the line plot to answer Exercises 1 and 2. 012 3 4 5 678910 × × × × × × × × × × × Number of Restaurants 1. Describe the shape of the distribution shown. Identify any ...
Chapter 5: Exploring Data: Distributions Exploring Data Statistics is the science of collecting, organizing, and interpreting data. Data Numerical facts that are essential for making decisions in almost every area of life and work. Spreadsheet programs are used to organize data by rows and columns. Exploratory data analysis 1.
How to describe center, variability, and shape of a data distribution from a graphic representation, examples and step by step solutions, Common Core Grade 6, Given a frequency histogram, students describe the data collected, the number of responses, an estimate of the mean or median, and an estimate of the interquartile range (IQR) or the mean absolute deviation (MAD)
Comparing data distributions. Google Classroom. Microsoft Teams. For his senior project, Richard is researching how much money a college graduate can expect to earn based on their major. He finds the following interesting facts: Basketball superstar Michael Jordan was a geography major at the University of North Carolina. There were only 3.
93 Chapter 5 Exploring Data: Distributions Chapter Objectives Check off these skills when you feel that you have mastered them. F Construct a histogram for a small data set. F List and describe two types of distributions for a histogram. F Identify from a histogram possible outliers of a data set. F Construct a stemplot for a small data set. F Calculate the mean of a set of data.
The items, their data sources, and any relevant instructions for viewing the source data online appear at the end of this teacher version. Item 1: Population, Land Area, and Other Data for the 50 U.S. States and District of Columbia. Item 2: Income, Employment, and Other Demographic Data for the 50 U.S. States and District of Columbia For more ...
5. List the lower class limits in a vertical column and then determine and enter the upper class limits. 6. Take each individual data value and put a tally mark in the appropriate class. Add the tally marks to get the frequency.
Analyzing Discrete Random Variables. Chapter 5 - Day 2 - Lesson 5.2. Chapter 5 Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10 Day 11 Day 12 Day 13 Day 14 Day 15 All Chapters. Learning Targets. Make a histogram to display the probability distribution of a discrete random variable and describe its shape. Calculate and interpret the ...
Choose 1 answer: Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
Level: College, University, High School, Master's, PHD, Undergraduate. Finest Essay Writing Service & Essay Writer. Lesson 5 Homework Practice Analyze Data Distributions, Professional Book Review Ghostwriting Sites Online, Personal Challege Example Essays, Resume Examples For An Administrative Assistant, Minimum Word Count Uc Essays, Help With ...
100% Success rate. 22912. Finished Papers. Super well thought out... Gombos Zoran. #21 in Global Rating. Lesson 5 Homework Practice Analyze Data Distributions, Writing Research Papers Style, Persuasive Essays For Home, Free Calculus Homework, Disney Hong Kong Case Study, Blogskin Thesis Nulled, Top Creative Writing Writers Site Online. Jan 03 ...
Lesson 6 Homework Practice. Analyze Data Distributions. 1. CARNIVALS. The number of people that attended the carnival each year is shown in the graph at the right. a. ... Analyze Data Distributions. FALL. The. line plot shows the number of restaurants people went to in the past. month. Use the information in the line plot to answer Exercises 1 ...
Lesson 5 Homework Practice Analyze Data Distributions. We hire a huge amount of professional essay writers to make sure that our essay service can deal with any subject, regardless of complexity. Place your order by filling in the form on our site, or contact our customer support agent requesting someone write my essay, and you'll get a quote.
Lesson 5 Homework Practice Analyze Data Distributions - REVIEWS HIRE. John N. Williams ... Lesson 5 Homework Practice Analyze Data Distributions, What Schools Require The Sat Essay, Sport Theme Essay Papers, Essay On Body Language Examples, Ateneo Personal Essay Sample, How To Write A History Essay Introduction A Level, Writing Application ...
Our writers compose original essays in less than 3 hours. Give them a try, you won't regret it. For expository writing, our writers investigate a given idea, evaluate its various evidence, set forth interesting arguments by expounding on the idea, and that too concisely and clearly. Our online essay writing service has the eligibility to ...