pre-test -...

Chapter 14 Assessments 1263

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Pre-Test

Name ________________________________________________________ Date _________________________

1. Allen wants to collect data about the varsity basketball team at his high school. He gives the

following survey to all members of the team.

Varsity Basketball Team Survey

1.Whatisyourapproximateheightininches?

2.Abouthowmanyhoursaweekdoyouexercise?

3.Approximatelyhowmanyhoursdoyousleepeachnight?

4.Approximatelyhowmanyhoursdoyouspendonhomeworkeachnight?

a. What was the population of the survey?

b. Is the data collected in the survey a census? Explain your reasoning.

c. After giving the survey, it is determined that 28% of the players spend 12 hours on

homework each night. Was a parameter or statistic determined? Explain your reasoning.

2. Mr. Moore is installing new work benches in the wood shop. He wants the height of the

benches to be best for students standing and working on projects. He decides to use

the mean height of the students in the school as a guide. Rather than using the heights

of all the students in the school, he decides to take a sample of students.

a. What is the population for this problem?

1264 Chapter 14 Assessments

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Pre-Test page 2

b. Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample

a random sample? Explain your reasoning.

c. Mr. Moore decides to use a random number generator to select 20 students from the

school. Suppose that when choosing 20 students using the random generator on

the graphing calculator, Mr. Moores sample is all eighth graders. Does that mean the

sample is not a random sample? Explain your reasoning.

3. Jesse has a collection of 50 tangram pieces. Each piece has a different size, shape, and

color. Each piece has a unique number between 01 and 50 printed on one side. He wants

to select 5 pieces at random.

a. How might Jesse randomly choose 5 tangram pieces?

b. Flynn suggests the following method for selecting the pieces: put the pieces in a cloth

bag and choose 5 pieces from the bag. Will Flynns method result in a random sample?

Explain your reasoning.

c. How can Jesse use a random number table to choose the pieces for his sample?


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Pre-Test page 3

Name ________________________________________________________ Date _________________________

4. Use the box-and-whisker plot shown to identify the five-number summary.

100 20 30 40 50 60 70 80

5. Henry wants to know the mean number of minutes students spend on their computer each

day. He selects a sample of 7 students using the random digit table beginning on line 14 shown.

Line 14 14544 37134 54714 02401 63228 26831 19386 15457 17999 18306

a. What is the sample size?

b. Henry assigns each student a two-digit number beginning with 01 and ending with 32.

Which students are chosen for the sample?


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Post-Test

Name ________________________________________________________ Date _________________________

1. Janet wants to study the habits of her art club. She administers the following survey to all

of the members.

Art Club Survey

1.Doyouwearglasses?Yes____No____

2.Abouthowmuchtimedoyouspendonthephoneeachday?

3.Doyouownapersonalmusicplayer?Yes____No____

4.Approximatelyhowmanyhoursdoyouspendonartactivitieseachweek?

a. What was the population of the survey?

b. Is the data collected in the survey a census? Explain your reasoning.

c. After giving the survey, it is determined that 15% of students spend 68 hours on art

activities each week. Was a parameter or statistic determined? Explain your reasoning.

2. Alexandra is designing a childrens wooden chair. She wants the height of the chairs to

best fit younger students. She decides to use the mean height of students in elementary

school as a guide. Rather than using the heights of all the students in the school, she decides

to take a sample of students.



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Post-Test page 2

b. Suppose Alexandra decides to use 15 third graders as the sample. Is this sample a random

sample? Explain your reasoning.

c. Alexandra decides to use a random number generator to select 15 students from the

school. Suppose that when choosing 15 students using the random generator on the

graphing calculator, Alexandras sample is all girls. Does that mean the sample is not

a random sample? Explain your reasoning.

3. Jim has a collection of 40 blocks. Each block has a different size, shape, and color. Each

block has a unique number between 01 and 40 printed on one side. He wants to select

3 pieces at random.

a. How might Jim randomly choose 3 blocks?

b. Charise suggests the following method for selecting the blocks: put the blocks in a cloth

bag and choose 3 blocks from the bag. Will Charises method result in a random sample?

Explain your reasoning.

c. How can Jim use a random number table to choose the pieces for his sample?


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Post-Test page 3

Name ________________________________________________________ Date _________________________

4. Use the box-and-whisker plot shown to identify the five-number summary.

100 20 30 40 50 60 70 80

5. Adam wants to know the mean number of minutes students spend commuting back and

forth to school each day. He selects a sample of 5 students using the random digit table

beginning on line 12 shown.

Line 12 29621 66583 62966 12468 20345 14015 04014 35713 03980 03024


b. Adam assigns each student a two-digit number beginning with 12 and ending with 30.

Which students are chosen for the sample?


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Mid-ChapterTest

Name ________________________________________________________ Date _________________________

1. A recent survey of 2000 student athletes from across the U.S. shows 3 out of 4 student athletes

sleep 7 to 8 hours each night.

a. What was the population in the survey?

b. Was the data collected in the survey a census? Why or why not?

c. What was the sample for the survey?

d. Was a parameter or a statistic reported?

e. Of the 2000 student athletes, how many sleep 7 to 8 hours each night?

2. A recent survey of all the seventh graders at Jackson Middle School shows that 82%

of seventh graders ride the bus to school.




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Mid-ChapterTest page 2

c. Was a parameter or a statistic reported?

d. Of the 350 seventh-grade students at Jackson Middle School, how many ride the bus

to school?

3. According to a new text survey of 3500 students, 12 to 15 years old, who own MP3 players

and belong to a school sports team, 78% claim better sports performance if they listen to

their own music while practicing.




d. Is the 78% of the 12- to 15-year-olds who claim better sports performance if they listen

to their own music while practicing a parameter or a statistic? Explain your reasoning.


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Name ________________________________________________________ Date _________________________

e. Of those 3500 students who answered the survey, how many claim better sports

performance while listening to their own music?

4. Stacia is helping to set up temporary basketball hoops for a weekend sports clinic for first

graders. She decides to use the mean height of first-grade students at Walker Elementary as

a guide. Rather than using the heights of all the first-grade students in the school, she decides

to take a sample of students.


b. Suppose Stacia decides to use 10 first graders from Ms. Ingrams class as the sample. Is this

sample a random sample? Explain your reasoning.

c. Suppose Stacia decides to use 10 first-grade girls as the sample. Is this sample a random

sample? Explain your reasoning.

d. Suppose Stacia decides to choose the first 10 first graders to enter the school in the morning

for her sample. Is this sample a random sample? Explain your reasoning.


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e. Suppose Stacia assigns every student in first grade a different number, writes each number

on a slip of paper, places the slips in a cloth bag, and selects 10 slips from the bag without

looking. Is this sample a random sample? Explain your reasoning.

f. Stacia decides to use a random number generator to select 10 first-grade students from the

school. Suppose that when choosing 10 students using the random generator on the graphing

calculator, Stacias sample is all first graders who ride the bus. Does that mean the sample is

not a random sample? Explain your reasoning.

Use the random number table shown.

Line 3 95639 99754 31199 92558 68368 04985 51092 37780 40261 14479

Line 4 61555 76404 86210 11808 12841 45147 97438 60022 12645 62000

Line 5 78137 98768 04689 87130 79225 08153 84967 64539 79493 74917

5. Beginning on Line 4, write the first 8 random digits.

6. Beginning on Line 3, write the first 8 random two-digit numbers.

7. Beginning on Line 5, write the first 8 random two-digit numbers.


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Name ________________________________________________________ Date _________________________

8. Beginning on Line 4, write the first 8 random three-digit numbers.

9. Your gym teacher decides to use the random number table beginning on Line 3 to select

4 students for her random sample. She assigned each of her 25 students a two-digit number

beginning with 20.

a. What is the first two-digit number that appears in Line 3?

b. What do you think your teacher should do with that number?

c. What are the four two-digit numbers to be chosen for the sample?


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EndofChapterTest

Name ________________________________________________________ Date _________________________

1. According to a new online survey of 4000 teenagers, 16 to 18 years old, who have siblings

and drive, 89% drive their siblings to school and sports events every week.




d. Is the 89% of the 16- to 18-year-olds who drive their siblings to school and sports events

every week a parameter or a statistic? Explain your reasoning.

e. Of those 4000 16- to 18-year-olds who answered the survey, how many drive their siblings to

school and sports events every week?


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EndofChapterTest page 2

Use the random number table shown.

Line 18 17048 94523 97444 59904 16936 39384 97551 09620 63932 03091

Line 19 93039 89416 52795 10631 09728 68202 20963 02477 55494 39563

Line 20 82244 34392 96607 17220 51984 10753 76272 50985 97593 34320

2. Your teacher decides to use the random number table beginning on Line 19 to select

5 students for her random sample. She assigned each of her 24 students a two-digit

number beginning with 15.

a. What are the first 3 two-digit numbers that appear in Line 19?

b. What do you think your teacher should do with those numbers?

c. What are the 5 two-digit numbers to be chosen for the sample?

3. Beginning on Line 18, write the first 8 random three-digit numbers.

4. Susan has a collection of 60 gift boxes in assorted sizes in her craft room. She wants to

calculate the total volume that her gift boxes will hold. Suppose you stood in Susans craft

room and selected 5 boxes for a sample. Then you calculated the mean volume of the 5 boxes

you selected.

a. What is the sample?


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Name ________________________________________________________ Date _________________________

b. Is the mean volume of the 5 boxes a parameter or a statistic? Explain your reasoning.

c. When you chose your sample, was it a random sample? Explain your reasoning.

d. How might you randomly choose 5 boxes for your sample?

5. Tammi wants to estimate the number of minutes students spend waiting for the bus each morning.

She decides to take a random sample of 11 anonymous students. The results are shown.

4minutes 10minutes 8minutes 12minutes

3minutes 15minutes 6minutes 10minutes

5minutes 22minutes 13minutes

a. Identify the five-number summary for the data from the sample.

b. Construct a box-and-whisker plot to represent the data concerning student wait-times

for the bus.


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c. Why is the right whisker so much longer than the left whisker?

6. Mr. George works for a video game developer. The company wants to know how much time

teenagers spend each day participating in online gaming. Suppose Mr. George decides to give

his teenage sons homeroom class a survey. The survey asks, To the nearest quarter hour,

how many minutes do you spend each day participating in online gaming?

a. What is the population of the scenario?

b. What is the sample?

c. Would the sample be a random sample? Why or why not?

7. Your social studies teacher wants to know the mean number of minutes students spend working

on a term paper each day. He decides to take a random sample of 5 students in seventh grade

using the random digit table beginning on Line 13 shown. There are 65 students in seventh grade.

Line 13 12639 75291 71020 17265 41598 64074 64629 63293 53307 48766


b. Your teacher assigned each student a two-digit number beginning with 01. Which

students are chosen for the sample?


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StandardizedTestPractice

Name ________________________________________________________ Date _________________________

1. Quinn wants to determine the mean height of the 15 players on the baseball team.

He decides to calculate the mean of 5 players on the team as a sample. He assigns

each player a two-digit number starting with 11. If Quinn begins on line 8 of the

random number table, which shows the correct sample?

Line 6 62490 99215 84987 28759 19177 14733 24550 28067 68894 38490

Line 7 24216 63444 21283 07044 92729 37284 13211 37485 10415 36457

Line 8 16975 95428 33226 55903 31605 43817 22250 03918 46999 98501

Line 9 59138 39542 71168 57609 91510 77904 74244 50940 31553 62562

Line 10 29478 59652 50414 31966 87912 87154 12944 49862 96566 48825

a. 16, 28, 54, 59, 97

b. 15, 19, 20, 21, 24

c. 4, 6, 21, 24, 28

d. 16, 17, 18, 22, 25

2. Mrs. Williams wants to determine which year-end celebration to choose for the students.

She wants student input, so she needs to choose a sample of 20 students from the school.

Which of the samples shown is a random sample?

a. Choose the first 20 students to arrive in the library in the morning.

b. Choose the 20 students who volunteer for the school fundraising event this Friday.

c. Give every student a number and select 20 numbers from a box without looking.

d. Choose 20 students from the last bus to arrive at school, using a random number table.


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StandardizedTestPractice page 2

3. Steph made the box-and-whisker plot shown.

100 20 30 40 50 60 70 1009080

What is the IQR for the data?

a. 40

b. 60

c. 70

d. 90

4. According to the survey described, what was the population of the survey?

Arecentonlinesurveyof5000teenagersfromacrosstheU.S.shows2out

of3teenagersparticipateinafterschoolactivities.

a. teenagers in your school

b. teenagers across your state

c. teenagers across the U.S.

d. teenagers around the world

5. Alanna wants to use the random number table to choose a sample of 5 two-digit

numbers. If she begins on Line 9, which sample did she choose?

Line 6 62490 99215 84987 28759 19177 14733 24550 28067 68894 38490

Line 7 24216 63444 21283 07044 92729 37284 13211 37485 10415 36457

Line 8 16975 95428 33226 55903 31605 43817 22250 03918 46999 98501

Line 9 59138 39542 71168 57609 91510 77904 74244 50940 31553 62562

Line 10 29478 59652 50414 31966 87912 87154 12944 49862 96566 48825

a. 5, 9, 13, 8, 3

b. 16, 97, 59, 54, 28

c. 59, 13, 83, 95, 42

d. 59, 13, 8, 39, 54


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Name ________________________________________________________ Date _________________________

6. Suppose a toothpaste company wants to calculate how many times teens brush their

teeth each week. They decide to conduct a survey of a random sample of 1000 teens

aged 1318 from across the U.S. What is the sample size?

a. 13

b. 18

c. 1000

d. all teens from 1318 in the U.S.

7. Todd is using the random number table shown to select students for his survey. He assigned

each of the 25 students in his class a two-digit number, starting with 20. Beginning on Line 9,

what is the first student number chosen for the sample?

Line 8 16975 95428 33226 55903 31605 43817 22250 03918 46999 98501

Line 9 59138 39542 71168 57609 91510 77904 74244 50940 31553 62562

Line 10 29478 59652 50414 31966 87912 87154 12944 49862 96566 48825

a. 13

b. 42

c. 59

d. 83

8. For which survey is the data collected a census?

a. Asurveyofallthestudentsinyourmathclassshows2outof5ofthosestudents

likehip-hopbest.

b. Asurveyof100seventhgradersfromacrosstheU.S.showsthat1outof5students

likesciencebestoftheirschoolsubjects.

c. Asurveyof25studentsatGeorgetownMiddleSchoolshowsthat32%of

GeorgetownstudentslikeFunRunbrandsneakersbest.

d. Anonlinesurveyof1000teenagersfromacrossthestateshowsthat57%ofthem

likeicecreambestfordessert.


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9. Ian recorded the time, in seconds, it took each contestant to solve the riddle. He recorded

the results.

68seconds 89seconds 122seconds 72seconds

139seconds 49seconds 115seconds 83seconds

97seconds 56seconds 142seconds

What is the third quartile of the data?

a. 68

b. 89

c. 115

d. 122

10. Kris is staining 30 wooden rectangular fence pieces. The fence pieces are different sizes,

and Kris wants to determine the approximate number of square feet of paint she will

need. She decides to take a sample of 4 fence pieces and calculate the mean of the

areas instead of calculating the area of each fence piece. Which is a true statement about

this problem?

a. The sample size is 30.

b. The population is the 4 fence pieces.

c. The mean area of the 4 fence pieces is a parameter.

d. The mean area of the 4 fence pieces multiplied by 30 would be similar

to the total area.

11. According to the survey described here, what was the sample of the survey?

Arecenttelephonesurveyof900teenagersaged16to19fromacrossthestate

shows1outof4ofthemdrivethemselvestoschool.

a. all teenagers aged 16 to 19 in the state

b. 900 teenagers aged 16 to 19 from across the state

c. 1 out of 4 teenagers aged 16 to 19 from across the state

d. teenagers aged 16 to 19 from across the state who own a telephone


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Name ________________________________________________________ Date _________________________

12. Mark made the box-and-whisker plot shown.

10 20 30 40 50 60 70 80 900 100

What is the value of Q1?

a. 40

b. 65

c. 80

d. 90

13. In which survey was a parameter reported?

a. Ofthe30studentsinJillsmusicclass,1outof5ofthemknowthemusicofcomposer

ClaudeDebussy.

b. Ofthe100teenagerssurveyedfromJillsmiddleschool,2outof3ofthemownabicycle.

c. Ofthe1000seventhgradeboyssurveyedacrosstheU.S.,5outof6ofthemwant

togotocollege.

d. Ofthe50studentssurveyedacrossthecitywhotakethebus,1outof2ofthem

saidtheywouldpreferanothermodeoftransportation.

14. Bill is buying glass for 50 framed drawings and he wants to estimate the total square

inches of glass needed. The frames are different sizes. He wants to take a sample of

5 frames and calculate the mean area instead of calculating the area of each frame.

Which is a true statement about this problem?

a. The sample size is 50.

b. The population is the 50 framed drawings.

c. The mean area of the 5 frames is a parameter.

d. The mean area multiplied by 5 is equal to the total square inches.


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15. Julia wants to calculate the mean age of the 200 people attending the Saturday matinee

at the movie theater. She selects 4 attendees at random and calculates the mean of their

ages. What can you conclude about Julias results?

a. The sample size is too small to give a reliable conclusion.

b. The results are a good predictor of the mean age of attendees.

c. The sample was not truly random, so it is not reliable.

d. The population is too large to get reliable results from any sample size.

16. Maria is using the random number table shown to select students for her survey. She assigned

each of the 300 students in the school a three-digit number starting with 001. Beginning on Line

13, what is the third student number chosen for the sample?

Line 11 96155 95009 27429 72918 08457 78134 48407 26061 58754 05326

Line 12 29621 66583 62966 12468 20245 14015 04014 35713 03980 03024

Line 13 12639 75291 71020 17265 41598 64074 64629 63293 53307 48766

a. 020

b. 171

c. 529

d. 639

17. Felicity recorded the number of laps she swam each month for 7 months. Her data is shown.

112, 134, 150, 98, 120, 68, 116

Which is the mean absolute deviation to the nearest whole number of Felicitys lap data?

a. 16

b. 18

c. 20

d. 36


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Name ________________________________________________________ Date _________________________

18. Sylvia has a plastic container of 45 wooden shapes. She wants to select 6 shapes

at random. She proposed that she should just reach in and pull out 6 shapes without

looking. Why wont this produce a random sample?

a. because she is not looking

b. because she can feel the shapes

c. because the more colorful shapes are more likely to be selected because

she can see them

d. because the larger shapes are more likely to be selected because of their size

19. A recent survey of 2500 seventh graders from across the state shows 2 out of 5 of

them do not eat breakfast. How many of the students surveyed do not eat breakfast?

a. 500

b. 1000

c. 1250

d. 1500

20. You design and give a survey to your homeroom class. The survey includes the question,

To the nearest half hour, how many minutes do you exercise each day? Suppose a national

gym franchise decided to calculate the number of minutes teenagers exercise each week

by using the results of your class survey. What is the population for this problem?

a. your homeroom class

b. teens who exercise

c. teenagers across the country

d. gym members


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