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2024 Best Middle Schools in Santa Clara County

• Most diverse
• Best teachers
• College prep
• Niche standout schools
• Best schools
• Best for STEM
• Best for the arts
• Best for athletes
• Best districts

1-25 of 223 results

Castilleja School

Palo Alto, CA •

Private School •

• • Rating 4.38 out of 5   66 reviews

Parent: My daughter is thriving in Castilleja. In the past two years since she joined, I have seen such immense positive change in terms of her confidence, independence, study habits, time management and connection with her whole school community. Her teachers understand my daughter and is always there to help. Another big factor that contributes to this is that every kid is very driven and that they positively influence each other. I used to and check on my daughter's school work during elementary school. I never had to do that since she started in Castilleja because I see that she can handle everything and is ready to take responsibility for her own education. I wouldn't hesitate to recommend this school. ... Read 66 reviews

• grade  A+ Overall Niche Grade

Students 424

Student-teacher ratio 7:1

Blue checkmark.

Private School ,

PALO ALTO, CA ,

66 Niche users give it an average review of 4.4 stars.

Featured Review: Parent says My daughter is thriving in Castilleja. In the past two years since she joined, I have seen such immense positive change in terms of her confidence, independence, study habits, time management and... .

Read 66 reviews.

Overall Niche Grade : A+ ,

Students : 424 ,

Student-Teacher Ratio : 7 to 1 ,

The Harker School

San Jose, CA •

• • Rating 4.28 out of 5   175 reviews

Alum: Very intense school, but prepares students well for stem fields and college. Lack luster sports programs, but for a STEM school not bad. Really nice facilities for arts and sports. ... Read 175 reviews

Students 1,982

Student-teacher ratio 9:1

#1 Best Private K-12 Schools in Santa Clara County .

SAN JOSE, CA ,

175 Niche users give it an average review of 4.3 stars.

Featured Review: Alum says Very intense school, but prepares students well for stem fields and college. Lack luster sports programs, but for a STEM school not bad. Really nice facilities for arts and sports. .

Read 175 reviews.

Students : 1,982 ,

Student-Teacher Ratio : 9 to 1 ,

BASIS Independent Silicon Valley

• • Rating 3.95 out of 5   133 reviews

Junior: As a student at BASIS Independent Silicon Valley, I can attest to its status as a beacon of academic excellence in Silicon Valley. With cutting-edge facilities and a challenging curriculum, I've experienced firsthand the nurturing environment that encourages critical thinking and intellectual curiosity. The dedicated faculty and vibrant community have made my educational journey truly enriching. From STEM to the arts, I've had countless opportunities to explore my interests and passions beyond the classroom. BASIS Independent Silicon Valley has not only prepared me for academic success but also instilled in me a lifelong love of learning and readiness for the future's challenges. ... Read 133 reviews

Students 1,190

Student-teacher ratio 11:1

#3 Best Private K-12 Schools in Santa Clara County .

133 Niche users give it an average review of 3.9 stars.

Featured Review: Junior says As a student at BASIS Independent Silicon Valley, I can attest to its status as a beacon of academic excellence in Silicon Valley. With cutting-edge facilities and a challenging curriculum, I've... .

Read 133 reviews.

Students : 1,190 ,

Student-Teacher Ratio : 11 to 1 ,

German International School of Silicon Valley - Mountain View Campus

MOUNTAIN VIEW, CA •

• • Rating 4.29 out of 5   7

Lindamood-Bell Academy

Online School •

SAN LUIS OBISPO, CA •

• • Rating 4.6 out of 5   5

Living Wisdom School of Palo Alto

PALO ALTO, CA •

• • Rating 5 out of 5   24

Silicon Valley International School

• • Rating 4.5 out of 5   56 reviews

Parent: Our children are in the High School. They are thriving, and come home telling us about things they have learned in school. Academics are demanding because the school aims to prepare students for college academics with the IB program. There are study halls after school with teachers who offer tutoring in all subjects. My children enjoy the after-school clubs, and have had life-changing experiences with international programs. The teachers are accessible; when I have questions or want to consult them, they make arrangements right away to meet with me. The administration elicits feedback from parents and responds to ideas for the school. We are glad we found SVINTL in time for our children to attend the High School. ... Read 56 reviews

Students 714

Student-teacher ratio 6:1

#4 Best Private K-12 Schools in Santa Clara County .

56 Niche users give it an average review of 4.5 stars.

Featured Review: Parent says Our children are in the High School. They are thriving, and come home telling us about things they have learned in school. Academics are demanding because the school aims to prepare students for... .

Read 56 reviews.

Students : 714 ,

Student-Teacher Ratio : 6 to 1 ,

Cambrian Academy

• • Rating 4.43 out of 5   30 reviews

Senior: As a recent graduate of the school, I feel the school is quite a good place for education in terms of the freedom of choice and quality of education provided. Teachers genuinely want to see you succeed, and you're allowed to dabble in whichever subject you take interest in. Overall I would recommend! ... Read 30 reviews

Students 79

30 Niche users give it an average review of 4.4 stars.

Featured Review: Senior says As a recent graduate of the school, I feel the school is quite a good place for education in terms of the freedom of choice and quality of education provided. Teachers genuinely want to see you... .

Read 30 reviews.

Students : 79 ,

• • Rating 5 out of 5   24 reviews

Parent: LWHS has been a transformative journey for my son. Coming from a prestigious public high school, he found himself uninspired and unchallenged there, lacking the confidence to explore his potential. However, within just 3 years at LWHS, he has undergone a remarkable transformation. In the public school he viewed essay writing as a dreadful duty, producing mere paragraphs of simple statements. Now, he effortlessly crafts 3-page essays using refined and vivid language. Once a shy and withdrawn student, he now thrives as the center of class activities. Unlike before, where fear of judgment held him back, he now eagerly embraces new opportunities, whether it's participating in theater productions or solo singing. His development wouldn't have been possible without the dedicated efforts of the faculty, particularly Kshama, Hazemach, and Keshava, whose guidance and support played a pivotal role in shaping my son into the mature young man he has become. ... Read 24 reviews

Students 88

Student-teacher ratio 5:1

#5 Best Private K-12 Schools in Santa Clara County .

24 Niche users give it an average review of 5 stars.

Featured Review: Parent says LWHS has been a transformative journey for my son. Coming from a prestigious public high school, he found himself uninspired and unchallenged there, lacking the confidence to explore his potential.... .

Read 24 reviews.

Students : 88 ,

Student-Teacher Ratio : 5 to 1 ,

Jane Lathrop Stanford Middle School

Palo Alto Unified, CA •

• • Rating 3.67 out of 5   6 reviews

Parent: JLS is a very diverse and happy place, my child which is now a senior went there and he told me it was the happiest 3 years that he's had ... Read 6 reviews

Students 996

Student-teacher ratio 15:1

#1 Best Public Middle Schools in Santa Clara County .

Palo Alto Unified, CA ,

6 Niche users give it an average review of 3.7 stars.

Featured Review: Parent says JLS is a very diverse and happy place, my child which is now a senior went there and he told me it was the happiest 3 years that he's had .

Read 6 reviews.

Students : 996 ,

Student-Teacher Ratio : 15 to 1 ,

Fletcher Middle School

• • Rating 3.55 out of 5   11 reviews

Parent: You can tell most of the teachers really care. They got two new admins this year that seem more proactive, I hope they can stay! I do think the academics could be more rigorous. Class sizes are also very large. My daughter has 26 and 28 in her core academic classes. I know it says teacher: student ratio isn't indicative of class size but that's what parents think when they read that, so I was a bit shocked to hear how big her classes were. ... Read 11 reviews

Students 506

Student-teacher ratio 13:1

#2 Best Public Middle Schools in Santa Clara County .

11 Niche users give it an average review of 3.5 stars.

Featured Review: Parent says You can tell most of the teachers really care. They got two new admins this year that seem more proactive, I hope they can stay! I do think the academics could be more rigorous. Class sizes are also... .

Read 11 reviews.

Students : 506 ,

Student-Teacher Ratio : 13 to 1 ,

Waldorf School of the Peninsula - Mountain View Campus

Mountain View, CA •

• • Rating 4.1 out of 5   10 reviews

Parent: As a parent of a senior, I feel today the happiness and the fulfillment of completing this amazing journey at Waldorf School of the Peninsula. And if I could go back in time I would choose the same path. It’s all about shaping and developing intellectual, creative and artistic skills, becoming confident and powerful, kind and compassionate. The teachers are amazing here , professionally well prepared , knowledgeable and very supportive. The way the school day is structured makes the learning experience efficient and ultimately joyful. A few months ago, when my daughter got accepted to a prestigious University in UK , she said that she felt both happy and sad. Leaving Waldorf School of the Peninsula is leaving the place you loved so much , the people you loved dearly. Here the school community is your family but in the same time you feel ready , strong, confident and knowledgeable and you go and open the next chapter of your life. Grateful to this school from the bottom of my heart. ... Read 10 reviews

Students 142

Student-teacher ratio 4:1

MOUNTAIN VIEW, CA ,

10 Niche users give it an average review of 4.1 stars.

Featured Review: Parent says As a parent of a senior, I feel today the happiness and the fulfillment of completing this amazing journey at Waldorf School of the Peninsula. And if I could go back in time I would choose the same ... The teachers are amazing here , professionally well prepared , knowledgeable and very supportive. The way the school day is structured makes the learning experience efficient and ultimately joyful. A few months ago, when my daughter got accepted to a prestigious University in UK , she said that she felt both happy and sad. Leaving Waldorf School of the Peninsula is leaving the place you loved so much , the people you loved dearly. Here the school community is your family but in the same time you feel ready , strong,... Grateful to this school from the bottom of my heart. .

Read 10 reviews.

Students : 142 ,

Student-Teacher Ratio : 4 to 1 ,

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Oakwood School

Morgan Hill, CA •

• • Rating 4.01 out of 5   70 reviews

Parent: My son has been a student at Oakwood for the past 7.5 years, and it continues to be the best decision we ever made. Oakwood is an extraordinary school that boasts not only strong academics but also inclusive, well-rounded extracurricular offerings in sports, theatre, and music, to name a few. Oakwood teachers are incredible and are at the heart of what makes an Oakwood education so fantastic. They invest in their students in a way that nurtures growth, provides a foundation for excellence, and encourages students to challenge themselves. As a result, Oakwood yields some of the most articulate, thoughtful, insightful, and engaged students you will find anywhere. If you are looking for an incredible and rich educational experience for your child/ren, I encourage you to tour Oakwood. You will see and feel the difference immediately. ... Read 70 reviews

Students 651

Student-teacher ratio 10:1

#6 Best Private K-12 Schools in Santa Clara County .

MORGAN HILL, CA ,

70 Niche users give it an average review of 4 stars.

Featured Review: Parent says My son has been a student at Oakwood for the past 7.5 years, and it continues to be the best decision we ever made. Oakwood is an extraordinary school that boasts not only strong academics but also... .

Read 70 reviews.

Students : 651 ,

Student-Teacher Ratio : 10 to 1 ,

The King's Academy

Sunnyvale, CA •

• • Rating 4.23 out of 5   136 reviews

Parent: Overall a very good school with caring teachers, coaches and staff. TKA offers a balance of academics, service opportunities, spiritual life, activities/academics/arts/sports/clubs, and emphasis on enduring relationships (class retreats, small group lunches with teachers). My kids have felt challenged, yet supported, here. The school continues to grow and improve. The construction of a new STEM building is underway to open in the fall of 2024. ... Read 136 reviews

Students 988

Student-teacher ratio 14:1

SUNNYVALE, CA ,

136 Niche users give it an average review of 4.2 stars.

Featured Review: Parent says Overall a very good school with caring teachers, coaches and staff. TKA offers a balance of academics, service opportunities, spiritual life, activities/academics/arts/sports/clubs, and emphasis on... .

Read 136 reviews.

Students : 988 ,

Student-Teacher Ratio : 14 to 1 ,

Frank S. Greene Jr. Middle School

• • Rating 2.89 out of 5   19 reviews

Alum: The only thing I learned from eighth grade science was to not use balloons as condoms. Some of the teachers were cool but the rest were pretty bad and alot yelled. ... Read 19 reviews

Students 821

#3 Best Public Middle Schools in Santa Clara County .

19 Niche users give it an average review of 2.9 stars.

Featured Review: Alum says The only thing I learned from eighth grade science was to not use balloons as condoms. Some of the teachers were cool but the rest were pretty bad and alot yelled. .

Read 19 reviews.

Students : 821 ,

• • Rating 4.29 out of 5   7 reviews

Parent: Of course, I expected and assumed an excellent academic school for my children. GISSV has fully met my expectations. I didn't anticipate the excellent social-emotional factor and didn't expect it either. GISSV has exceeded my requirements in this category. I can wholeheartedly recommend this school! ... Read 7 reviews

Students 597

Student-teacher ratio 8:1

#7 Best Private K-12 Schools in Santa Clara County .

7 Niche users give it an average review of 4.3 stars.

Featured Review: Parent says Of course, I expected and assumed an excellent academic school for my children. GISSV has fully met my expectations. I didn't anticipate the excellent social-emotional factor and didn't expect it... .

Read 7 reviews.

Students : 597 ,

Student-Teacher Ratio : 8 to 1 ,

Bullis Charter School

Los Altos, CA •

Public School •

• • Rating 3.68 out of 5   19 reviews

Middle school student: Bullis prioritizes learning over busy work and teaches us to apply our learning through project-based learning (PBL). Instead of just memorizing formulas in math class, we are given real situations in which we have to apply our mathematical knowledge and critical thinking skills. In science, instead of just listening to the teacher lecture, we apply the engineering design process to create projects that showcase our knowledge of the subject at hand. For example, in our 8th-grade science unit on Newton's laws of motion, we designed bumpers for mini bumper cars and held a class competition to test our designs. Afterward, we analyzed why certain designs were more effective than others using Newton's laws. Bullis also doesn't assign mountains of busywork; homework is very light, and only when necessary for learning. My friends at Egan and Blach are far more stressed — despite learning the same material — and I have more time to pursue my extracurricular interests. ... Read 19 reviews

Students 1,067

#4 Best Public Middle Schools in Santa Clara County .

Public School ,

LOS ALTOS, CA ,

19 Niche users give it an average review of 3.7 stars.

Featured Review: Middle school student says Bullis prioritizes learning over busy work and teaches us to apply our learning through project-based learning (PBL). Instead of just memorizing formulas in math class, we are given real situations in which we have to apply our mathematical knowledge and critical thinking skills. In science, instead of just... For example, in our 8th-grade science unit on Newton's laws of motion, we designed bumpers for mini bumper cars and held a class competition to test our designs. Afterward, we analyzed why certain... Bullis also doesn't assign mountains of busywork; homework is very light, and only when necessary for learning. My friends at Egan and Blach are far more stressed — despite learning the same material... .

Students : 1,067 ,

Ardis G. Egan Junior High School

Los Altos Elementary, CA •

• • Rating 3.8 out of 5   10 reviews

Alum: The teachers are very good, however there is a significantly unfair push for higher math classes in lower grades. Overall a great school! ... Read 10 reviews

Students 493

Student-teacher ratio 17:1

#5 Best Public Middle Schools in Santa Clara County .

Los Altos Elementary, CA ,

10 Niche users give it an average review of 3.8 stars.

Featured Review: Alum says The teachers are very good, however there is a significantly unfair push for higher math classes in lower grades. Overall a great school! .

Students : 493 ,

Student-Teacher Ratio : 17 to 1 ,

Georgina P. Blach Junior High School

• • Rating 3 out of 5   2 reviews

Parent: The school is one of the best and my 3 kids went to 3 different middle schools. The Principal and staff understand the needs of this age group so well and the environment is kind and student friendly. I wish my child go there for longer than 2 years! ... Read 2 reviews

Students 418

#6 Best Public Middle Schools in Santa Clara County .

2 Niche users give it an average review of 3 stars.

Featured Review: Parent says The school is one of the best and my 3 kids went to 3 different middle schools. The Principal and staff understand the needs of this age group so well and the environment is kind and student... .

Read 2 reviews.

Students : 418 ,

Granada Islamic School

Santa Clara, CA •

• • Rating 3.73 out of 5   11 reviews

Senior: I like the community feel of the school and the education is usually good quality, however due to the limited staff, you often need to figure things out on your own. Our senior class was very small, so we were not prioritized. The school did do it's best with the resources it has. ... Read 11 reviews

• grade  A Overall Niche Grade

#8 Best Private K-12 Schools in Santa Clara County .

SANTA CLARA, CA ,

11 Niche users give it an average review of 3.7 stars.

Featured Review: Senior says I like the community feel of the school and the education is usually good quality, however due to the limited staff, you often need to figure things out on your own. Our senior class was very small,... .

Overall Niche Grade : A ,

Charter School of Morgan Hill

• • Rating 5 out of 5   1 review

Parent: Our kids have been at CSMH since Kindergarten and are now in Middle School. Our experience has been exceptional, and we are incredibly grateful to have made it in with the lottery all those years ago. One of our kids requires special services while another is a high achieving student. BOTH have their needs met, both are challenged, both feel respected and valued, and both are generally happy with school. We will be sad to "graduate" from CSMH into high school when the time comes. ... Read 1 review

Students 649

Student-teacher ratio 19:1

#7 Best Public Middle Schools in Santa Clara County .

1 Niche users give it an average review of 5 stars.

Featured Review: Parent says Our kids have been at CSMH since Kindergarten and are now in Middle School. Our experience has been exceptional, and we are incredibly grateful to have made it in with the lottery all those years... .

Read 1 reviews.

Students : 649 ,

Student-Teacher Ratio : 19 to 1 ,

Pacific Point Christian Schools

Gilroy, CA •

• • Rating 4 out of 5   13 reviews

Alum: Pacific Point Christian School is an amazing school. The teachers take time out of their day to do things for their students. I have had multiple teachers write letters of recommendation for me, and they have done proofreading for me on multiple occasions. Although Pacific Point is a small school it is a community with a family atmosphere. Everybody looks out for one another. I most enjoyed the atmosphere of Pac Point and the biblical lessons I learned while I was at Pac Point. ... Read 13 reviews

Students 431

#9 Best Private K-12 Schools in Santa Clara County .

GILROY, CA ,

13 Niche users give it an average review of 4 stars.

Featured Review: Alum says Pacific Point Christian School is an amazing school. The teachers take time out of their day to do things for their students. I have had multiple teachers write letters of recommendation for me, and... .

Read 13 reviews.

Students : 431 ,

Discovery Charter School - Phoenix

• • Rating 4.33 out of 5   15 reviews

Middle school student: The teachers and staff pay a lot of attention to the students to ensure they have an optimal learning experience. The curriculum (especially for AP students) is quite ahead compared to schools in the area. One unique thing with Discovery students I have categorically seen is their confidence in speaking to others, most students gain that trait from presenting to their classes about topics they've researched and have a vested interest in. Great school! ... Read 15 reviews

Students 537

Student-teacher ratio 20:1

#8 Best Public Middle Schools in Santa Clara County .

15 Niche users give it an average review of 4.3 stars.

Featured Review: Middle school student says The teachers and staff pay a lot of attention to the students to ensure they have an optimal learning experience. The curriculum (especially for AP students) is quite ahead compared to schools in the... .

Read 15 reviews.

Students : 537 ,

Student-Teacher Ratio : 20 to 1 ,

Alpha: Cornerstone Academy Preparatory

Students 521

Student-teacher ratio 22:1

#9 Best Public Middle Schools in Santa Clara County .

Students : 521 ,

Student-Teacher Ratio : 22 to 1 ,

Marian A. Peterson Middle School

Santa Clara Unified, CA •

• • Rating 3.2 out of 5   5 reviews

Middle School Student: I think Peterson Middle School is a pretty awesome school. The teachers and staff are really supportive and easy to talk to. A lot of the students are really nice, and this school is really fun! The only problem I have is the school schedule, which starts at 8 A.M.; which, in my opinion, is too early. Some of my classmates aren't fully awake yet and half of 1st period is just wasted, since students are too tired to listen. ... Read 5 reviews

Students 789

#10 Best Public Middle Schools in Santa Clara County .

Santa Clara Unified, CA ,

5 Niche users give it an average review of 3.2 stars.

Featured Review: Middle School Student says I think Peterson Middle School is a pretty awesome school. The teachers and staff are really supportive and easy to talk to. A lot of the students are really nice, and this school is really fun! ... .

Read 5 reviews.

Students : 789 ,

• Review your school

Apostles Lutheran School

• • Rating 4.85 out of 5   40 reviews

Parent: My son is currently in Kindergarten. I knew I picked the right school for my son because he's been getting up on time in the morning just to go to class. I see the positivity in him every day as he is thriving to learn academically, socially, and most importantly, Christian morals. He comes home reciting songs and telling me the bible stories that he's learned in school and interesting school experiments, such as The Elephant Toothpaste Experiment. The staff is wonderful as they all greet him and say his name when passing by. The school principal must have a photographic memory because he knows each one of the children's names while greeting them in the mornings. One of the other benefits is the small classroom size so that the teacher can emphasis the fun in learning and has the time to spend with a student who would need additional help. Another benefit is that the school cares about its community as evidence by the school and public events they host throughout the year. ... Read 40 reviews

Students 228

Student-teacher ratio 12:1

#10 Best Private K-12 Schools in Santa Clara County .

40 Niche users give it an average review of 4.9 stars.

Featured Review: Parent says My son is currently in Kindergarten. I knew I picked the right school for my son because he's been getting up on time in the morning just to go to class. I see the positivity in him every day as he... .

Read 40 reviews.

Students : 228 ,

Student-Teacher Ratio : 12 to 1 ,

Gilroy Prep School

Students 540

Student-teacher ratio 28:1

#11 Best Public Middle Schools in Santa Clara County .

Students : 540 ,

Student-Teacher Ratio : 28 to 1 ,

Union Middle School

Union Elementary, CA •

• • Rating 4.11 out of 5   19 reviews

Parent: Very good school for both academic and athletic/band/clubs. It was during the pandemic when our daughter was there. So she could experience only half of the middle school years, but made a good memories and good friends. ... Read 19 reviews

Students 1,044

Student-teacher ratio 23:1

#12 Best Public Middle Schools in Santa Clara County .

Union Elementary, CA ,

19 Niche users give it an average review of 4.1 stars.

Featured Review: Parent says Very good school for both academic and athletic/band/clubs. It was during the pandemic when our daughter was there. So she could experience only half of the middle school years, but made a good... .

Students : 1,044 ,

Student-Teacher Ratio : 23 to 1 ,

SUNNYVALE, CA •

• • Rating 4.23 out of 5   136

Fairmont Schools - North Tustin Campus

NORTH TUSTIN, CA •

• • Rating 4.98 out of 5   47

Junipero Serra High School

SAN MATEO, CA •

• • Rating 3.98 out of 5   328

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Bringing It Together: Homework

Santa Clara County, CA, has approximately 27,873 Japanese-Americans. Their ages are as follows:

• Construct a histogram of the Japanese-American community in Santa Clara County, CA. The bars will not be the same width for this example. Why not? What impact does this have on the reliability of the graph?
• What percentage of the community is under age 35?
• Which box plot most resembles the information above?

Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed 100 shoppers. The samples yielded the following information.

• How can you determine which survey was correct ?
• Explain what the difference in the results of the surveys implies about the data.

Use the following information to answer the next three exercises : We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.

What is the IQR ?

What is the mode?

Is this a sample or the entire population?

• entire population

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

• Find the sample mean x ¯ x ¯ .
• Find the approximate sample standard deviation, s .

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:

• Find the sample mean x – x –
• Find the sample standard deviation, s
• Construct a histogram of the data.
• Complete the columns of the chart.
• Find the first quartile.
• Find the median.
• Find the third quartile.
• Construct a box plot of the data.
• What percent of the students owned at least five pairs?
• Find the 40 th percentile.
• Find the 90 th percentile.
• Construct a line graph of the data
• Construct a stemplot of the data

Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

• Organize the data from smallest to largest value.
• The middle 50% of the weights are from _______ to _______.
• If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
• the population mean, μ .
• the population standard deviation, σ .
• the weight that is two standard deviations below the mean.
• When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
• That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows:

3 ; 8 ; –1 ; 2 ; 0 ; 5 ; –3 ; 1 ; –1 ; 6 ; 5 ; –2

• What is the mean change score?
• What is the standard deviation for this population?
• What is the median change score?
• Find the change score that is 2.2 standard deviations below the mean.

Refer to Figure 2.50 determine which of the following are true and which are false. Explain your solution to each part in complete sentences.

• The medians for all three graphs are the same.
• We cannot determine if any of the means for the three graphs is different.
• The standard deviation for graph b is larger than the standard deviation for graph a.
• We cannot determine if any of the third quartiles for the three graphs is different.

In a recent issue of the IEEE Spectrum , 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference.

• Organize the data in a chart.
• Find the median, the first quartile, and the third quartile.
• Find the 65 th percentile.
• Find the 10 th percentile.
• The middle 50% of the conferences last from _______ days to _______ days.
• Calculate the sample mean of days of engineering conferences.
• Calculate the sample standard deviation of days of engineering conferences.
• Find the mode.
• If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
• Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.

A survey of enrollment at 35 community colleges across the United States yielded the following figures:

6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622

• Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and "Frequency."
• If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
• Calculate the sample mean.
• Calculate the sample standard deviation.
• A school with an enrollment of 8000 would be how many standard deviations away from the mean?

Use the following information to answer the next two exercises. X = the number of days per week that 100 clients use a particular exercise facility.

The 80 th percentile is _____

The number that is 1.5 standard deviations BELOW the mean is approximately _____

• Cannot be determined

Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the Table 2.83 .

• Are there any outliers in the data? Use an appropriate numerical test involving the IQR to identify outliers, if any, and clearly state your conclusion.
• If a data value is identified as an outlier, what should be done about it?
• Are any data values further than two standard deviations away from the mean? In some situations, statisticians may use this criteria to identify data values that are unusual, compared to the other data values. (Note that this criteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data.)
• Do parts a and c of this problem give the same answer?
• Examine the shape of the data. Which part, a or c, of this question gives a more appropriate result for this data?
• Based on the shape of the data which is the most appropriate measure of center for this data: mean, median or mode?

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• Book title: Introductory Statistics
• Publication date: Sep 19, 2013
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