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M A N E U V E R I N G T H E M I D D L E .C O M

PA G E T W O

PAGE TOPIC RESOURCE4 Sample Pacing Guide

5-6 Ideas for Implementation & Helpful Hints

7-16 Binder Covers, Dividers, and Spine Labels

17-18 Populations and Samples Student Handout 1

19 Populations and Samples Homework 1

21-22 Random Sampling and Population Inferences Student Handout 2

23 Random Sampling and Population Inferences Homework 2

25-26 Measures of Center Student Handout 3

27 Measures of Center Homework 3

29-30 Measures of Variability Student Handout 4

31 Measures of Variability Homework 4

33-34 Statistics Quiz Quiz

35-36 Comparing Dot Plots Student Handout 5

37 Comparing Dot Plots Homework 5

39-40 Comparing Box Plots Student Handout 6

41 Comparing Box Plots Homework 6

43-50 Statistics Unit Study Guide Study Guide

51-54 Statistics Unit Test Test

STATISTICS UNITTable of Contents

©Maneuvering the Middle LLC, 2016

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

Populations and Samples

Random Sampling and Population Inferences

Measures of Center Measures of Variability Statistics Quiz

Student Handout 1Homework 1




Quiz 1

DAY 6 DAY 7 DAY 8 DAY 9 NOTES

Comparing Dot Plots Comparing Box Plots Statistics UnitStudy Guide

Statistics Unit Test



Unit Study Guide Unit Test


STATISTICSPACING GUIDE

*NOTE: This file has been organized for double-sided printing. Any blank pages were left so intentionally to make printing easy.

Ideas for Implementation: This bundle has all of the notes, homework, quizzes, and tests to make your life easier and help your students to be successful with statistical concepts. A sample pacing guide is included for those of you who do not have a district scope and sequence or if it is very general. Additionally, an answer key is included.

If you notice any discrepancies in the documents or have any questions, please email me at: [email protected].

STANDARDS

7.SP.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions

7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability

7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations

sTATISTICSStudent Handouts


HELPFUL HINTS

A few ideas for organizing your curriculum and keeping things nice and neat:

Keep each unit in a separate binder and use the spine labels and covers to keep them looking nice and easy to find. I personally love 1.5” binders.


Student Handouts

BINDERS

I place my originals in page protectors in chronological order. Any extra copies from that lesson, I hole punch and place behind that page. When I need an extra or a student is missing something from weeeeeeeeks ago, I can simply pull out a copy.

PAGE PROTECTORS

I highlight the edges of my answer keys or if I am really good, print them on colored paper. It helps them to stand out and makes them easy to find on my desk, in a binder, by the document camera, etc. Plus, highlighter doesn’t show up if you make a copy.

ANSWER KEYS

Card stock in a page protector makes an awesome divider. When I set up my dividers, I include one for handouts, activities, assessments, and answer keys. Binder covers and spine labels have been included. J

CARD STOCK

Happy Teaching!

STATISTICS

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STATISTICSs e v e n t h G r a d e C u r r i c u l u m

U n i t t e n : a n s w e r k e y s



U n i t t e n : a c t i v i t i e s



U n i t t e n : a s s e s s m e n t s

Unit: StatisticsStudent Handout 1

The following statements are populations. Determine a possible sample that is part of a population.

POPULATION SAMPLE

1. People living in a specific neighborhood

2. Families with children

3. Seniors at East High School

SAMPLES

• A sample is a __________________of an entire group.

• It refers to a portion of the group with specific characteristics.

• Data collected from the sample is called a ________________

_________________.

Ex: vowels are a subset of the alphabet

POPULATIONS

• When collecting data, the _____________________references the entire

group.

• Data collected from the entire population is called a ________________

_________________.

Ex: the alphabet is equivalent to the ________________, while the

consonants are a ________________within the population

The following statements are samples. Determine a possible population that it could be a part of.

SAMPLE POPULATION

4. Children who play football for the YMCA

5. Students who were on the B honor roll for the first nine weeks

6. Households that have cable in the Riverside Apartment complex


Name _____________________________________Date ____________________________Pd ______

POPULATIONS AND SAMPLES

Complete the graphic organizer below by answering the questions based on the statistical question.

Summarize today’s lesson:


STATISTICAL QUESTION

HOW COULD YOU COLLECT THE DATA?

IS THE DATA A POPULATION OR A SAMPLE STATISTIC?

WHY?

What do seventh grade students want to do for the fall festival?

What is the average grade on the semester exam in Mrs. Johnson’s class?

Who do Americans want as their president?

How many students in your school ride the bus home?

STATISTICALQUESTIONS

• A _______________question is one that can be answered with

_______________that _______________.

• The answer to a statistical question must differ.

Name _____________________________________Date ____________________________Pd ______

Unit: StatisticsHomework 1


Determine the population and sample in each problem below.

1. A survey of 2,541 American households discovered that 64% of the households own one car.

Population: _______________________________________________________________________________

Sample: _________________________________________________________________________________

2. The average height of every fifth member of the varsity football team was 5’11”.

Population: _______________________________________________________________________________

Sample: _________________________________________________________________________________

3. The recent study found that 40% of New York City residents earn more than the median salary.

Population: _______________________________________________________________________________

Sample: _________________________________________________________________________________

4. In a USA Today internet poll, 73% of readers indicated that they were satisfied with their lives.

Population: _______________________________________________________________________________

Sample: _________________________________________________________________________________

Read each statement below. Mark a P if the statement references a population statistic, and an S if the statement references a sample statistic.

_______ 5. The median cost of electricity in the US is $104 per month.

_______ 6. 42% of the responders to a poll at North Junior High indicated that they wanted to increase the number of pep rallies.

_______ 7. Based on the 2010 Census Bureau, 69% of children under 18 live with two parents.

_______ 8. According to a survey updating the Census, the percentage of high school dropouts ages 18 to 24 decreased from 11.3 percent in 2005 to 6.4 percent in 2015.

_______ 9. A poll of 439 town residents showed that 58% were pleased with the mayors job performance.

_______ 10. The student body was surveyed about the new elective offerings. Eighty-five percent indicated they were pleased with the new offerings.

POPULATIONS AND SAMPLES

RANDOM SAMPLES

• Everyone in the population must have an ______________________of

being selected in order for a sample to be ________________.

Ex: A survey is taken of favorite sports in seventh grade, but only girls are

surveyed. This is ______a random sample.

Read the situation below. Then, determine if the various methods would produce a random sample. Justify your thinking in the space below.

Name _____________________________________Date ______________________________Pd______


RANDOM SAMPLING & POPULATION INFERENCES


The senior class president would like to host an after-graduation lock-in. There will be games, gifts, and food! In order to decide if people would be willing to buy tickets and attend, she has decided to conduct a survey. She will select 25 students to meet and give input on the prizes, food, and ticket price. There are 500 members of the senior class.

1. She selects every tenth student as they get off of the bus one morning.

________________________________________

________________________________________

________________________________________

2. She asks her Choir Director to allow her to survey the choir.

________________________________________

________________________________________

________________________________________

3. She meets with the counselor, who selects every twentieth student on the school roster.

________________________________________

________________________________________

________________________________________

4. She assigns each senior a number and randomly selects 25 numbers.

________________________________________

________________________________________

________________________________________

5. She makes an announcement that people interested should meet in the library after school.

________________________________________

________________________________________

________________________________________

6. A roster of the senior class is printed and each student’s name is put into a hat. The principal selects 25 names.

________________________________________

________________________________________

________________________________________



POPULATIONINFERENCES

• Once a sample has been collected from a population, an ________________

about the entire population can be made by setting up a proportion.

• These inferences can also be used to compare different populations and

make ________________.

Use the information below to answer the questions.

7. Eastside Middle School conducted a survey of randomly selected 6th graders to determine which elective they were most likely to participate in. The results are shown in the table.

a. How many students were surveyed?

b. What percentage of students surveyed selected Spanish as their elective of choice?

c. The school estimates that there are actually 350 students in the 6th grade. Using this sample, about how many students can be expected to sign up for art?

d. The school estimates that there are actually 350 students in the 6th grade. Using this sample, how many students can be expected to sign up for theater?

e. The school decides to drop any elective in which less than 10% of the population has signed up for. Miguel says that since only 6 people signed up for art, it should be dropped. Explain why this is or is not correct.

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

f. Mark each of the following statements as true or false based on the data.

______ Over half of the students at Eastside Middle School will select theater for their elective.

______ Combined, the Spanish and art classes account for 50% of the elective results.

______ Out of the 350 students at Eastside Middle School, at least 120 will sign up for Spanish.

SPANISH THEATER ART

6TH GRADE 14 20 6

1. Read each headline and explain if the statement is supported by the data.

Headline A: ___________________________________________________________________________

______________________________________________________________________________________

Headline B: ___________________________________________________________________________

______________________________________________________________________________________

Headline C: ___________________________________________________________________________

______________________________________________________________________________________

Headline D: ___________________________________________________________________________

______________________________________________________________________________________

2. Based on sample #1, how many students from the entire student population preferred the 8:30 AM start time?

3. Based on sample #2, how many students from the entire student population would prefer not to start at 7:45 AM?

Name _____________________________________Date ____________________________Pd ______



SITUATION RANDOM SAMPLE NOT A RANDOM SAMPLE

4. A school board member surveys parents to learn howthey feel about the new school boundaries.

Read the situation below and give an example of a random sample and a sample that is not random.

RANDOM SAMPLING & POPULATION INFERENCESThe Mitchell Junior High newspaper staff conducted two samples in which 40 students were randomly selected to represent the entire 600 member student population. The results of the two surveys are shown below.

7:45 AMSTART TIME

8:30 AM START TIME

9:00 AM START TIME

SAMPLE #1 12 18 10

SAMPLE #2 14 19 7

OVER 300 STUDENTS WANT TO START AFTER

8:00 AM

8:30 AM START TIME

MOST POPULAR

SMALL PERCENTAGE OF STUDENTS WANT

TO START AT 7:45 AM

LESS THAN 100 STUDENTS WANT

TO START AT 9:00 AM

A DCB

1. The list below shows the shoe size for eight students in Mr. Perdido’s class.

13, 12, 9.5, 10.5, 12, 11, 12, 8

Sum: ___________

Mean: ___________

2. The following data set represents the age of people in line to vote.

27, 52, 60, 41, 33, 38, 42, 57, 72, 68

Sum: ___________

Mean: ___________

3. The following data set represents the number of times the phone rings when callers contact Comcast Cable Customer Service.

Sum: ___________

Mean: ___________

Name _____________________________________Date ______________________________Pd______

Unit: Statistics Student Handout 3

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Use your understanding of mean to answer the questions below.

MEASURES OF CENTERMEASURES OF CENTER

• A measure of center is a way of ______________________ the data by

providing a central point of data.

MEAN

• The mean is a measure of center in which the __________________of

the data is taken. It can be found by:

1. Finding the ___________of all of the data points

2. __________________by the number of data points

• The mean can be thought of as determining the _____________________.

Move the gumballs around to create an equal number of gumballs in each machine. What is the fair share?

________

A B C

________ ________

NUMBER OF RINGS

4 5 6 7 8 9

FREQUENCY 2 1 2 2 1

List: ________________________________



4. The following data set represents the number of inches of snowfall within a two-week period.

2, 1.5, 0, 0, 3, 1, 8, 6, 0, 0, 0, 1, 2, 3.5

Median: ___________

5. The following data set represents the number of broken cookies in a test of nine boxes of Girl Scout Cookies.

Median: ___________

6. The following data set represents the number of pieces of candy in an individual candy serving bag.

Median: ___________

Apply the mean and median of the data by answering the questions below.

7. Roanoke Middle School is holding a walk-a-thon, and the top five finishers are shown in the table below.

MEDIAN

• The median is a measure of center in which the __________________of

the data is determined. It can be found by:

1. Ordering the data from ____________________ to greatest

2. Determining the _________________ of the data set

• If there is not a middle number, then find the _____________ of the two

middle numbers.

Determine the median of each of the data sets below.

NUMBER OF CANDIES

20 22 24 26 28 30

FREQUENCY 2 3 3 1 1

a. What is the mean number of laps that the top five finishers completed?

b. What is the median number of laps that the top five finishers completed?

c. Describe why you think the mean and median are closely related.

NAME # OF LAPS

Brit 35

Margie 33

Jose 33

Amelia 32

Aldo 30

0 1 2 3 4 5 6 7 8

Name _____________________________________Date _____________________________Pd ______

Unit: Statistics Homework 3


Match each correct answer to a letter and complete the riddle below.

1

Determine the mean of the following numbers: 28, 40, 53, 39, 45

5

Determine the median of the followingnumbers:

40, 49, 62, 56, 68, 39, 50, 61, 54, 44

2

The following list has a mean of 24. What would be the new mean if 17 was added to the list?

12, 30, 19, 27, 21, 35 6

Find the median of the table below.

3

A sixth number will be added to the list. What must it be in order for the mean to be 12?

7, 16, 11, 12, 10, ___ 7

The following list has a median of 43. What would be the new median if 21was added to the list?

31, 48, 50, 23, 28, 52, 57, 38, 56, 27

4

Find the mean of the table below.

8

Determine the median of the followingnumbers:

8, 11, 11, 12, 13, 15, 16, 16, 18, 21

WHERE CAN YOU BUY A RULER THAT IS 3 FEET LONG?

C: 18 P: 35 S: 12.5 T: 14

E: 23 D: 41 L: 38 R: 52

Y: 22 M: 61 A: 16 O: 27

3 8 3 6 3 5 1 4 3 7 2

_________________________________

NUMBER OF MINUTES

5 10 15 20

FREQUENCY 1 2 2 1

NUMBER OF INCHES 20 22 24 26

FREQUENCY 3 2 1 3

MEASURES OF CENTER

Name _____________________________________Date ____________________________Pd ______


MEASURES OF VARIABILITY

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• A measure of variability is a way of describing how far

_________________ the data is. It can also be described as how much

the data __________________from the center.

INTERQUARTILERANGE

• The interquartile range (IQR) is a measure of variability that splits the

data into four __________________quartiles. It represents the

__________________of the data. It can be found by:

1. Ordering the data from __________to ____________

2. Finding the ____________

3. Finding the median of the lower and upper __________

4. Subtracting to find the ____________

• A small IQR means that the data values are close to the median.

1. The data set below represents the different costs of a camera at a local photography store.

$28, $44, $108, $36, $59, $71, $66

a. Write the data from least to greatest.

b. What is the minimum price? c. What is the maximum price?

d. What is the median price?

e. What is the median of the first half of the data? (first quartile)

f. What is the median of the second half of the data? (third quartile)

g. What is the interquartile range?

2. The following data set represents the number of cars running the red light at the intersection of Main St and Ave A over a period of two weeks.

9, 6, 15, 18, 11, 21, 19, 9, 10, 20, 14, 8, 12, 15

Median: _______ IQR: _______

Use your understanding of interquartile range to answer the questions below.

3. Seven different students were asked the number of family member in their household. Use the data to complete the table.

a. What is the mean absolute deviation?

b. Explain what this means for the size of the families surveyed.

___________________________________________

___________________________________________

___________________________________________

4. In a science class, an experiment required counting the number of M&Ms in a small package. Use the data to complete the table.

a. What is the mean absolute deviation?

b. Does the MAD represent a large or small amount of variability? Why?

___________________________________________

___________________________________________

___________________________________________

MEAN ABSOLUTE DEVIATION

• The mean absolute deviation (MAD) measures the spread of the data in

relation to the __________________. It can be found by:

1. Calculate the __________of the data set.

2. Find the _____________between each piece of data and the mean.

3. Take the _________________________of each deviation.

4. Sum the _______________and then divide by the number of pieces

of data.

• A MAD close to 0 means that the data values are close to the mean.


Use your understanding of mean absolute deviation to answer the questions below.

FAMILY# OF

FAMILYMEMBERS

DEVIATIONFROM MEAN

ABSOLUTEDEVIATION FROM MEAN

1 3

2 2

3 4

4 2

5 5

6 6

7 2

MEAN

GREENM&MS

DEVIATIONFROM MEAN

ABSOLUTEDEVIATION FROM

MEAN

7

9

4

12

3

2

9

8

3

11

2. The number of students in 10 kindergarten classes is shown below.

20, 18, 21, 18, 22, 24, 18, 23, 23, 24

a. What is the median number of students in the kindergarten classes? _________

b. What number of students describes the first quartile? _________

c. What number of students describes the third quartile? _________

d. What number of students describes the interquartile range? _________

e. Explain the meaning of the interquartile range as it relates to the number of students in the kindergarten classes.

______________________________________________________________________________________

______________________________________________________________________________________

The number of hours of TV watched each week by 8 seventh grade students is shown below.

11, 7, 9, 3, 3, 8, 10, 5

Answer the questions below. Be sure to show your thinking.


Name _____________________________________Date ____________________________Pd ______


a. What is the mean number of hours of TV watched?

b. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.

HOURS OF TV

DEVIATIONFROM MEAN


MEAN

11

7

9

3

3

8

10

5

Total


Name _____________________________________Date ______________________________Pd______

Unit: StatisticsQuiz 1

Use the table below to answer questions 1 – 2.

1. A sample of students is taken from the school’s A honor roll. The school estimates that there are actually 360 students on the A honor roll. Using this sample, how many students on the A honor roll are 8th graders?

2. A sample of students is taken from the school’s A honor roll. The school estimates that there are actually 360 students on the A honor roll. Using this sample, how many students on the A honor roll are 7th graders?

Answer the following questions.

Answers

1. ______________

2. ______________

3. ______________

4. ______________

5. ______________

6. ______________

7. ______________

8. ______________

9. _____________

10. _____________


3. A new restaurant in town is surveying residents to determine how much they typically pay for a meal out. Which of the following best describes a random sample?

A. They go door-to-door in a nearby neighborhood.

B. They randomly select 50 residents of a local nursing home.

C. They call 200 randomly selected town residents.

D. They ask patrons if the price was reasonable.

4. The elementary school cafeteria is considering changing the menu from pizza to sub sandwiches. Which of the following best describes a random sample?

A. All the students in Mrs. Johnson’s class are surveyed.

B. Twenty randomly selected fifth graders are surveyed.

C. Fifty randomly selected staff members are surveyed.

D. Fifty students’ names are drawn from a hat.

5. A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those surveyed, 45 watch more than 10 hours per week. Based on the data, if the company has 2,500 subscribers, then how many watch more than 10 hours per week?

A. 400B. 1,125C. 1,400D. 800

6TH GRADE 7TH GRADE 8TH GRADE

A-HONOR ROLL 15 11 14

QUIZ: STATISTICS

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6. The dot plot below represents the number of dollars in allowance that students receive each week in Mrs. Jimenez’s class. What is the median amount of allowance?

A. 5

B. 6

C. 7.5

D. 8

7. The list below shows the allowance earned by eight of the students in Ms. Tomas’s class. What is the mean allowance earned in Ms. Tomas’s class?

$7, $12, $8.50, $10, $7, $8, $10.50, $11

8. The mean absolute deviation is 0.1, whatconclusions can be drawn?

A. The data points are close to the median.

B. The data points are far from the median.

C. The data points are far from the mean.

D. The data points are close to the mean.

9. Determine the IQR of the data below.

11, 13, 16, 17, 8, 10, 14, 14, 17, 14

A. 11

B. 16

C. 5

D. 14

10. The number of people on various teams within a soccer league are shown below. What info best represents the data?

15, 16, 16, 18, 19, 19, 20, 20, 21, 22, 23

A. B.

C. D.

Answer the questions below. Be sure to show your work.

0 2 4 6 8 10 12 14 16

DOLLARS OF ALLOWANCE EACH WEEK

IQR: 4Q1: 17Q3: 21

IQR: 6Q1: 16Q3: 21

IQR: 3Q1: 17Q3: 20

IQR: 5Q1: 16Q3: 21

Name _____________________________________Date ____________________________Pd ______


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COMPARING DOT PLOTS

DOT PLOTS• A dot plot displays data _________________ using a small dot for each data

piece. The data points are _________________ from least to greatest.

SHAPE

• Data can take on three different shapes:

SPREAD• The variability or spread in the data points describes how far apart the

data is from one another. This can also be represented by the

_________________ .

CENTER

• The median and the mean both represent the center of the data.

• When the data is skewed, then the _________________ is the best

representation of the data.

• When the data is symmetric, then the ______________ is the best

representation of the data.

SYMMETRIC SKEWED RIGHT SKEWED LEFT

1 2 3 4 5 1 2 3 4 5

Use the information below to create a dot plot and answer the questions about the data.

1 2 3 4 5

1. Two different classes were asked how many minutes each student traveled to school in the mornings.

2. Describe the shape of the two graphs above.

_________________________________________________________________________________________

3. Determine the median in each data set. 4. What is the difference between the center of Room 425 and the center of Room 434?

1 2 3 4 5 6 7 8 9 10

Minutes traveled to school in Room 434 Minutes traveled to school in Room 425

Room 434: 5, 7, 8, 8, 4, 4, 7, 5, 4, 7Room 425: 4, 5, 5, 6, 3, 6, 4, 7, 5, 5

1 2 3 4 5 6 7 8 9 10


5. Mark each of the following statements as true or false based on the information.

________ The distribution for Room 434 is symmetrical while the distribution for Room 425 is skewed left.

________ The median number of minutes in Room 425 is greater than the median number of minutes in Room 434.

________ Room 434 has a smaller range than Room 425.

________ The distribution for Room 425 is symmetrical while the distribution for Room 434 is skewed right.

Use the information from the dot plots on the previous page to answer the following questions.

Use the data to calculate the mean absolute deviation of each classroom. Then, answer the questions below.

6. Set up a table to calculate the mean absolute deviation of each classroom.

7. What observations can you make about the mean absolute deviation of each classroom?

____________________________________________

____________________________________________

____________________________________________

8. How is the difference in the centers related to the variability of each classroom?

____________________________________________

____________________________________________

____________________________________________

MINUTES TRAVELED

DEVIATION FROM MEAN


MEAN

TOTAL

Room 425: 4, 5, 5, 6, 3, 6, 4, 7, 5, 5

MINUTES TRAVELED

DEVIATION FROM MEAN


MEAN

TOTAL

Room 434: 5, 7, 8, 8, 4, 4, 7, 5, 4, 7

MAD: _________ MAD: _________

The number of TVs per household for Mrs. Jamison’s class and Mr. Zimmerman’s class is shown below.

1. What is the median (measure of center) number of TVs in Mrs. Jamison’s Class?

2. What is the median (measure of center) number of TVs in Mr. Zimmerman’s Class?

3. The mean absolute deviation of Mrs. Jamison’s class is 0.24. What does this mean?

4. The mean absolute deviation of Mr. Zimmerman’s class is 0.46. What does this mean?

5. Mark each statement below as true or false.

_______ The range of the number of TVs per household in Mrs. Jamison’s class is less than the range of the number of TVs per household in Mr. Zimmerman’s class.

_______ The median number of TVs per household is equal in both Mrs. Jamison’s class and Mr. Zimmerman’s class.

_______ The number of TVs per household with the highest frequency for both Mrs. Jamison’s class and Mr. Zimmerman’s class is 3.

6. When Asher looks at the data he says that both Mrs. Jamison’s class and Mr. Zimmerman’s class has data that is skewed right. Do you agree or disagree? Why or why not?

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

Use the dot plots to answer the questions below.

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Name _____________________________________Date ____________________________Pd ______


0 1 2 3 4 5 6 7

NUMBER OF TVs PER HOUSEHOLD

MRS. JAMISON’S CLASS

0 1 2 3 4 5 6 7NUMBER OF TVs PER HOUSEHOLD

MR. ZIMMERMAN’S CLASS

COMPARING DOT PLOTS

Name _____________________________________Date ____________________________Pd ______



Use the data below to create a five-number summary and sketch a box plot.

1. The following data set represents the number of animal crackers in the snack-size box.

Min: _________

Q1: _________

Med: _________

Q3: _________

Max: _________

2. The following data set represents the number of hours a small candle will burn.

Min: _________

Q1: _________

Med: _________

Q3: _________

Max: _________

3. Use the given box plot to determine the five-number summary.

Min: _________ Q1: _________ Med: _________ Q3: _________ Max: _________

COMPARING BOX PLOTS

BOX PLOTS

• A box plot displays a data distribution using ___________key numbers.

The difference between the first and third quartile is called the

________________________.

• __________________: the smallest piece of data

• __________________: the median of the lower half of data

• __________________: the median of the data

• __________________: the median of the upper half of data

• __________________: the largest piece of data

0 5 10 15 20

0 5 10 15 2030 35 40 45 50

34, 50, 49, 47, 48, 45, 48 9, 7, 11, 16, 11, 19, 9, 10, 15, 14, 8, 12, 15

NUMBER OF ANIMAL CRACKERS NUMBER OF HOURS

8 11 14 17 20


4. What is the difference in the measure of center of the voters who voted Republican and Democrat?

5. Determine the variability of voters who voted Republican. Determine the variability of voters who voted Democrat.

6. How is the difference in the centers related to the variability of each party?

_________________________________________________________________________________________

_________________________________________________________________________________________

AGE OF VOTERS IN EXIT POLL

DE

MO

CR

AT

RE

PU

BLI

CA

N

7. What was the median time for both courses?

8. Which course appears to be more difficult? Why?

9. A participant finished in 14 minutes in Texas. What can you conclude about the participant?

MINUTES ON AMERICAN NINJA WARRIOR COURSE

FLO

RID

AT

EX

AS

Use your knowledge of box plots to answer the questions below.

20 30 40 50 60 70

Evan conducts an exit poll at the public library. He wants to compare the ages of voters who voted Republican to those who voted Democrat. He thinks that there will be a greater variability of ages in the voters who voted Democrat than those who voted Republican.

Use your knowledge of box plots to answer the questions below.

0 5 10 15 20

1. What was the median number of guests foreach holiday?

2. What is the IQR for each holiday?

3. Which holiday showed greater variability in the data?

4. What is the difference in the measures of center?

5. What is the variability of grades each week?

6. What conclusions can you draw about the test?

7. What do you notice about the variabilitybetween 4th and 6th grades?

8. How is the difference in the centers related to the variability of each grade?

Use the box plots below to compare the data and answer the questions.

Name _____________________________________Date ____________________________Pd ______



NUMBER OF GUESTS AT DINNER

TH

AN

KS

GIV

ING

NE

W

YE

AR

’S E

VE

GRADES ON MATH TEST

WE

EK

2W

EE

K 1

NUMBER OF EXTRACURRICULAR ACTIVITIES

6T

H

GR

AD

ER

S4

TH

GR

AD

ER

S

COMPARING BOX PLOTS

0 5 10 15 20 25 30

50 60 70 80 90

0 1 2 3 4

Name _____________________________________Date ______________________________Pd______

Unit: StatisticsReview - CCSS

Solve each of the problems below. These represent the types of questions on your test. Be sure to ask questions if you need more help with a topic.

I CAN DIFFERENTIATE BETWEEN A POPULATION AND A SAMPLE. 7.SP.1

1. A survey of 2,541 American householdsdiscovered that 53% of the households have children.

Population:

Sample:

2. Eighty-five percent of the student council plans to attend the Thanksgiving parade.

Population:

Sample:

3. On a flight to Orlando, FL, 72% of the passengers were traveling for leisure.

Population:

Sample:

4. Seventeen children in Mrs. Johnson’s class have brown hair.

Population:

Sample:


STATISTICS UNIT STUDY GUIDE

I CAN IDENTIFY A RANDOM SAMPLE. 7.SP.1

Match the statistical question on the left to the random sample on the right.

_____ 5. “What is the best characteristic of a teacher at West Middle School?”

_____ 6. “How do West Middle School students get home?”

_____ 7. “Which lunch item is the tastiest?”

_____ 8. “Where should the 8th grade end of the year party be held?”

A. A number is assigned to each 8th grader and then 25 numbers are randomly selected.

B. Every tenth student in the cafeteria line ischosen to be surveyed.

C. At the exit doors all students who leave areasked their method home.

D. A roster of the school is printed and each students name is put into a hat. The principal selects 25 names.

I CAN USE DATA TO DRAW INFERENCES ABOUT A POPULATION. 7.SP.2

9. An internet company randomly selected 50 of its customers and asked them how many hours per week they use the internet. Of those surveyed, 28 use the internet more than 15 hours per week. Based on the data, if the company has 800 subscribers how many usemore than 15 hours per week?

10. A survey of 2,000 registered voters is used to predict by how many percentage points a candidate is leading. Of the 2,000 people, 1,240 planned to vote for Candidate A. By how many percentage points is Candidate A leading?

A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular. Use the table at right to answer questions 11-13.

11. If there are 280 6th graders and 200 7th graders, then how many more 7th graders are involved in the yearbook?

12. What percent of 6th graders are involved in the yearbook club?

13. The school decides to drop any club in which less than 5% of the population has signed up for. Should any clubs be dropped?

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I CAN DETERMINE THE MEASURE OF CENTER IN A DATA SET. 7.SP.4

14. The following data set represents the number of dollars 20 customers withdrew at an ATM.

Mean: _________Median: _________

15. The following data set represents the average high monthly temperature in Denver,CO.

44, 46, 54, 61, 71, 81, 88, 86, 77, 65, 52, 43

Mean: _________Median: _________

YEARBOOK STUDENT COUNCIL

JUMP ROPE

6TH GRADE 10 24 6

7TH GRADE 18 20 2

NUMBER OF DOLLARS 20 40 60 80 100 120

FREQUENCY 10 5 2 1 2 0

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I CAN USE MEASURES OF CENTER & VARIABILITY FROM SAMPLES TO DRAW CONCLUSIONS. 7.SP.4

19. The number of pieces of mail the Smith and Gomez families receive is tracked over a period of two weeks. Which statement best supports the data?

A. The range of the data for the Gomez family is less than the range of the data for the Smith family.

B. The data for the Smith family is more symmetrical than the data for the Gomez family.

C. The median for the Gomez family is greater than the maximum for the Smith family.

20. The dot plots below show the weight of newborn babies in two different hospitals. Which statement appears to be true?

A. The data for St. Mary’s and St. Jude’s are skewed left.

B. The median weight at St. Mary’s Hospital is greater than the median weight at St. Jude’s Hospital.

C. The range of the weight at St. Mary’s Hospital is greater than the range of weight at St. Jude’s Hospital.

I CAN FIND THE MEASURE OF VARIABILITY. 7.SP.4

16. The following data set represents thenumber of siblings of six students in music class.

Mean: _________MAD: _________

17. The following data set represents the number of students in the Monday swim classes.

8, 6, 4, 3, 8, 9, 6, 5, 2, 8

Q1: _________Q3: _________IQR: _________

18. The following data set represents the cost of an order (rounded to the nearest dollar) in the Chick-fil-A drive thru.

10, 21, 34, 12, 6, 3, 14, 18, 22, 29, 9, 2, 15, 12, 18

Q1: _________Q3: _________IQR: _________

# OF SIBLINGS

DEVIATIONFROM MEAN


MEAN

3

2

4

2

1

0

PIECES OF MAIL

GOMEZFAMILY

SMITH FAMILY

4 5 6 7 8 9 10 11 12POUNDS

ST. MARY’S HOSPITAL

4 5 6 7 8 9 10 11 12

ST. JUDE’S HOSPITAL

POUNDS

0 2 4 6 8 10 12

I CAN ASSESS THE DEGREE OF VISUAL OVERLAP OF TWO DATA DISTRIBUTIONS. 7.SP.3

Ten students are competing in a solo and ensemble contest. There are two different judges who give out a score for each student. Use the information below to answer questions 21-25.

21. Create two dot plots to represent the data below.

22. Describe the visual overlap of the two data sets.

____________________________________________

____________________________________________

____________________________________________

____________________________________________

____________________________________________

23. Find the mean of each Judge’s scores.

What is the difference in the mean of both data

sets?

Judge 1 : _________

Judge 2: _________

Difference: _________

24. Find the mean absolute deviation. What is

the mean absolute deviation for the two data

sets?

Judge 1 : _________

Judge 2: _________


25. What conclusions can be drawn from the data?

___________________________________________________________________________________________

___________________________________________________________________________________________

___________________________________________________________________________________________


I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?

Judge 1: 4, 4, 3, 3, 2, 3, 4, 3, 3, 5Judge 2: 3, 1, 4, 2, 2, 3, 2, 1, 2, 3

Name _____________________________________Date ______________________________Pd______

Unit: StatisticsReview

Solve each of the problems below. These represent the types of questions on your test. Be sure to ask questions if you need more help with a topic.

I CAN DIFFERENTIATE BETWEEN A POPULATION AND A SAMPLE.

1. A survey of 2,541 American householdsdiscovered that 53% of the households have children.

Population:

Sample:

2. Eighty-five percent of the student council plans to attend the Thanksgiving parade.

Population:

Sample:

3. On a flight to Orlando, FL, 72% of the passengers were traveling for leisure.

Population:

Sample:

4. Seventeen children in Mrs. Johnson’s class have brown hair.

Population:

Sample:


STATISTICS UNIT STUDY GUIDE

I CAN IDENTIFY A RANDOM SAMPLE.

Match the statistical question on the left to the random sample on the right.

_____ 5. “What is the best characteristic of a teacher at West Middle School?”

_____ 6. “How do West Middle School students get home?”

_____ 7. “Which lunch item is the tastiest?”

_____ 8. “Where should the 8th grade end of the year party be held?”

A. A number is assigned to each 8th grader and then 25 numbers are randomly selected.

B. Every tenth student in the cafeteria line ischosen to be surveyed.

C. At the exit doors all students who leave areasked their method home.

D. A roster of the school is printed and each students name is put into a hat. The principal selects 25 names.

I CAN USE DATA TO DRAW INFERENCES ABOUT A POPULATION.

9. An internet company randomly selected 50 of its customers and asked them how many hours per week they use the internet. Of those surveyed, 28 use the internet more than 15 hours per week. Based on the data, if the company has 800 subscribers how many usemore than 15 hours per week?

10. A survey of 2,000 registered voters is used to predict by how many percentage points a candidate is leading. Of the 2,000 people, 1,240 planned to vote for Candidate A. By how many percentage points is Candidate A leading?

A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular. Use the table at right to answer questions 11-13.

11. If there are 280 6th graders and 200 7th graders, then how many more 7th graders are involved in the yearbook?

12. What percent of 6th graders are involved in the yearbook club?

13. The school decides to drop any club in which less than 5% of the population has signed up for. Should any clubs be dropped?

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I CAN DETERMINE THE MEASURE OF CENTER IN A DATA SET.

14. The following data set represents the number of dollars 20 customers withdrew at an ATM.

Mean: _________Median: _________

15. The following data set represents the average high monthly temperature in Denver,CO.

44, 46, 54, 61, 71, 81, 88, 86, 77, 65, 52, 43

Mean: _________Median: _________

YEARBOOK STUDENT COUNCIL

JUMP ROPE

6TH GRADE 10 24 6

7TH GRADE 18 20 2

NUMBER OF DOLLARS 20 40 60 80 100 120

FREQUENCY 10 5 2 1 2 0

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I CAN USE MEASURES OF CENTER & VARIABILITY FROM SAMPLES TO DRAW CONCLUSIONS.

19. The number of pieces of mail the Smith and Gomez families receive is tracked over a period of two weeks. Which statement best supports the data?

A. The range of the data for the Gomez family is less than the range of the data for the Smith family.

B. The data for the Smith family is more symmetrical than the data for the Gomez family.

C. The median for the Gomez family is greater than the maximum for the Smith family.

20. The dot plots below show the weight of newborn babies in two different hospitals. Which statement appears to be true?

A. The data for St. Mary’s and St. Jude’s are skewed left.

B. The median weight at St. Mary’s Hospital is greater than the median weight at St. Jude’s Hospital.

C. The range of the weight at St. Mary’s Hospital is greater than the range of weight at St. Jude’s Hospital.

I CAN FIND THE MEASURE OF VARIABILITY.

16. The following data set represents thenumber of siblings of six students in music class.

Mean: _________MAD: _________

17. The following data set represents the number of students in the Monday swim classes.

8, 6, 4, 3, 8, 9, 6, 5, 2, 8

Q1: _________Q3: _________IQR: _________

18. The following data set represents the cost of an order (rounded to the nearest dollar) in the Chick-fil-A drive thru.

10, 21, 34, 12, 6, 3, 14, 18, 22, 29, 9, 2, 15, 12, 18

Q1: _________Q3: _________IQR: _________

# OF SIBLINGS

DEVIATIONFROM MEAN


MEAN

3

2

4

2

1

0

PIECES OF MAIL

GOMEZFAMILY

SMITH FAMILY

4 5 6 7 8 9 10 11 12POUNDS

ST. MARY’S HOSPITAL

4 5 6 7 8 9 10 11 12

ST. JUDE’S HOSPITAL

POUNDS

0 2 4 6 8 10 12

I CAN ASSESS THE DEGREE OF VISUAL OVERLAP OF TWO DATA DISTRIBUTIONS.

Ten students are competing in a solo and ensemble contest. There are two different judges who give out a score for each student. Use the information below to answer questions 21-25.

21. Create two dot plots to represent the data below.

22. Describe the visual overlap of the two data sets.

____________________________________________

____________________________________________

____________________________________________

____________________________________________

____________________________________________

23. Find the mean of each Judge’s scores.

What is the difference in the mean of both data

sets?

Judge 1 : _________

Judge 2: _________


24. Find the mean absolute deviation. What is

the mean absolute deviation for the two data

sets?

Judge 1 : _________

Judge 2: _________


25. What conclusions can be drawn from the data?

___________________________________________________________________________________________

___________________________________________________________________________________________

___________________________________________________________________________________________


I’VE GOT IT!What concepts can I ace on the test?

HELP!What concepts do I need to study?

Judge 1: 4, 4, 3, 3, 2, 3, 4, 3, 3, 5Judge 2: 3, 1, 4, 2, 2, 3, 2, 1, 2, 3

Name _____________________________________Date _____________________________Pd______

Unit: StatisticsTest

Solve the problems below. Be sure to show your thinking.


1. A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

A. 65% of the customers are unsatisfied with the cleanliness of the store

B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store

C. 40% of the customers are satisfied with the cleanliness of the store.

D. 25% of the customers are not satisfied with the cleanliness of the store.

2. At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?

A. Over half of the iguanas measure 14 centimeters or more in length.

B. 25% of the iguanas measure 12 centimeters in length.

C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.

Use the chart below to answer questions 3-4. A random sample of 40 students from each grade level was surveyed regarding their preference for a class field trip.

3. If there are 220 members of the 7th grade class, then how many students can be expected to prefer the zoo?

A. 39

B. 48

C. 120

D. 66

4. If there are 180 members of the 8th gradeclass, then what percent preferred either the museum or the sports complex?

A. 65%

B. 47.5%

C. 17.5%

D. 26%

STATISTICS UNIT TEST

ZOO MUSEUM SPORTS COMPLEX

7TH GRADE 12 18 10

8TH GRADE 14 19 7

9 10 11 12 13 14 15 16 17

LENGTH IN CENTIMETERS

IGUANA LENGTH

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Two friends measure the distance a racecar travels over 10 trials. Use the dot plot below to answer questions 5-6.

5. Which of the conclusions best supports the dot plots?

A. Both Jamal’s and Kendall’s racecars had anequal spread in their data.

B. On average Kendall’s racecar traveled further.

C. The median Jamal’s racecar traveled was 6.5 ft.

D. Both Jamal and Kendall had the same mode of data.

6. Which of the following represents the mean absolute deviation of Jamal’s data?

A. 6.4 B. 1.12C. 2.8 D. 0.9

Mrs. Moore’s and Mrs. Ruiz’s classes are competing for the best scores on their math test. Use the box plots below to answer questions 7-8.

7. Which of the following statements does not

represent the data?

A. The scores in Mrs. Ruiz’s class have less variability than the scores in Mrs. Moore’s class.

B. The median of Mrs. Moore’s class is equal to the first quartile of Mrs. Ruiz’s class.

C. The interquartile range of both classes is equal.

D. The scores in Mrs. Moore’s class have a greater spread than the scores in Mrs. Ruiz’s class.

8. Which of the following represents the difference in centers of Mrs. Moore’s class and Mrs. Hernandez’s class?

A. 7 B. 11C. 4 D. 3

9. Below is data collected from a random sample of 40 people at the public library. If the public library has 300 people, then which of the following conclusions can be drawn?

A. Exactly 42% of the library patrons chose a mystery.

B. Non-fiction and science fiction represent over half of the selections.

C. Over 25% of the library patrons chose a science fiction book.

D. 136 total patrons can be expected to choose a non-fiction book.

5 6 7 8 9 10 11 12FEET

5 6 7 8 9 10 11 12

FEET

KENDALL

JAMAL

GRADES ON MATH TEST

RU

IZ’S

CLA

SS

MO

OR

E’S

CLA

SS

50 60 70 80 90

NON-FICTION

MYSTERY SCI-FI

LIBRARY PATRONS 12 18 10

10. Which of the following groups is NOTconsidered a sample of the US population?

A. Women who live in the US

B. People who are registered to vote in the US

C. Europeans who vacation in the US

D. Students who attend public schools in the US

11. A company surveyed all of the employees in their Columbus, Ohio office, one of their six national offices. Based on the survey they determined that 72% of all employees were satisfied with their job. Which of the following explains why this is NOT a random sample?

A. They only surveyed people who had been at their job for five years or more

B. They did not survey employees in other offices around the country

C. The survey was conducted electronically

D. The survey had a time limit

12. The data set below represents the different costs of a tablet at an electronic store.

$298, $196, $248, $379, $319, $276, $198, $349

a. What is the median of the first half of the data? (first quartile) ________

b. What is the median of the second half of the data? (third quartile) ________

c. What is the interquartile range? ________

13. The dot plot below represents the number ofdollars in allowance that students receive each week in Mrs. Jimenez’s class. What is the median amount of allowance?

A. 5

B. 6

C. 7.5

D. 8

14. The number of points in the first five games of the basketball season are listed below. What is the mean number of points scored?

_____________

GAME 1 GAME 2 GAME 3 GAME 4 GAME 5

38 29 16 42 33

0 2 4 6 8 10 12 14 16

DOLLARS OF ALLOWANCE EACH WEEK



15. When looking for a job Micah is told that the monthly salary has a range of $876. He also knows that the starting salary is $1,793 per month. What is the maximum amount of money that Micah can earn with this position?

____________

16. Every time a customer purchases a new computer, one month later they receive a survey in the mail. Eighty-five percent of the surveys stated that the customer had no technical issues.

The people that return the survey are considered...

A. the population

B. the sample

C. a population statistic

D. a sample statistic

17. A middle school has 6th, 7th, and 8th grade students. Which of the following would be a random sample of the students?

A. Surveying all of the teachers

B. Surveying the students who buy their lunch in the cafeteria

C. Surveying everyone whose last name begins with a G.

D. Surveying every tenth student who is on the class rosters.

18. Compare the two box plots below. Which of the following statements is NOT true?

NUMBER OF SIBLINGS

CLA

SS

B

CLA

SS

A

0 1 2 3 4 5

A. Class B has a higher median number of siblings.

B. Class A has a greater variability in the numberof siblings.

C. Both Class A and Class B have students who are only children.

D. Over half of the students in Class A have two or more siblings.

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