16
Identify the sampling method used. 1. The name of each audience member at a game show is printed on a separate piece of paper and put into a rotating case. One audience member is chosen to play the game by drawing one piece of paper from the shuffled names. random 2. At a frozen pizza manufacturing plant, a coupon for a free pizza is put inside the package of every 100th pizza. sstematic 3. The teacher asks that students with birthdays from July to December go to the chalkboard to work the next problem. stematic Identify the population and sample. Give a reason the sample could be biased. 4. A radio disc jockey asks listeners to call in and name their favorite radio station. population sample possible bias 5. A hospital mails out surveys to 500 recent patients to get their feedback on their hospital visit. population sample possible bias 6. The first 10 people leaving the theater are asked to give their feedback about the movie. population sample possible bias recenital recenital recenital recenital recenital recenital listeners like that station listeners who call in radio listeners Copyright © by Holt, Rinehart and Winston. 3 Holt Mathematics All rights reserved. Name Date Class Practice A Samples and Surveys 9-1 LESSON

LESSON Practice A 9-1 Samples and Surveys 9 Homework.pdf · Practice B 9-3 Measures of Central ... 4 2. 1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1 mean: mean: median: median: mode: mode

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Identify the sampling method used.

1. The name of each audience member at a game show is printedon a separate piece of paper and put into a rotating case. Oneaudience member is chosen to play the game by drawing onepiece of paper from the shuffled names.

random2. At a frozen pizza manufacturing plant, a coupon for a free pizza

is put inside the package of every 100th pizza.

sstematic3. The teacher asks that students with birthdays from July to

December go to the chalkboard to work the next problem.

stematic

Identify the population and sample. Give a reason the samplecould be biased.

4. A radio disc jockey asks listeners to call in and name theirfavorite radio station.

population

sample

possible bias

5. A hospital mails out surveys to 500 recent patients to get theirfeedback on their hospital visit.

population

sample

possible bias

6. The first 10 people leaving the theater are asked to give theirfeedback about the movie.

population

sample

possible bias recenitalrecenital

recenital

recenitalrecenital

recenital

listeners like that stationlisteners who call in

radio listeners

Copyright © by Holt, Rinehart and Winston. 3 Holt MathematicsAll rights reserved.

Name Date Class

Practice ASamples and Surveys9-1

LESSON

MSM07G8_RESBK_Ch09_003_010.pe 2/12/06 8:40 PM Page 3

Copyright © by Holt, Rinehart and Winston. 4 Holt MathematicsAll rights reserved.

Identify the sampling method used.

1. People in the security line at the airport are asked to step out ofthe line for a more detailed search. The people pulled out of theline have not necessarily done anything wrong, and they are notchosen according to any particular rule.

random2. At the 1-mile marker of a marathon, a timekeeper shouts out the

time elapsed to every 10th runner that passes by. A statisticianrecords the times shouted.

matic3. A geologist visits 10 randomly-selected lakes in the region and

collects soil samples in randomly-selected areas along eachshoreline.

stratified

Identify the population and sample. Give a reason the samplecould be biased.

4. At a convention of science teachers, various attendees areasked to name their favorite subject in high school.

population

sample

possible bias

5. Donors participating in a blood drive are given a small amount ofmoney for their blood donation. Before they can give blood, eachperson is surveyed to find out if they are eligible to give blood.

population

sample

possible bias

6. Interviewers at the mall are surveying girls with red hair to findout if a correlation exists between personality and red hair.

population

sample

possible bias recenitalrecenital

recenital

recenitalrecenital

blood donors

recenitalrecenital

teachers at the convention

Name Date Class

Practice BSamples and Surveys9-1

LESSON

MSM07G8_RESBK_Ch09_003_010.pe 2/12/06 8:40 PM Page 4

Copyright © by Holt, Rinehart and Winston. 11 Holt MathematicsAll rights reserved.

1. Complete the line plot to organize the data of math quiz scores.

Name Date Class

Practice AOrganizing Data9-2

LESSON

List the data values in the stem-and-leaf plot.

Math Quiz Scores18 18 20 13 17 12 15 1217 19 17 18 18 20 11 19

2. 0 1 2 51 0 52 2 4 63 1 7 Key: 3 | 7 � 37

3. Use the given data to make a stem-and-leaf plot.

4. Make a Venn diagram to show how many boys in an eighth-grade class had summer jobs.

Maximum Speed of Animals (mph)

pig (domestic) 11 grizzly bear 30

squirrel 12 rabbit 35

elephant 25 zebra 40

cat (domestic) 30 cape hunting dog 45

1 1 2 2 5 3 0 0 54 0 5Key: 4 | 5 � 45

Gender M M F M F F M F F M M M

Summer Job? yes no yes yes yes no no yes yes yes no yes

Students withBoys Summer Jobs

3 4 4

11 12 13 14 15 16 17 18 19 20

1, 2, 5, 10, 15, 22,

24, 26, 31, 37,

MSM07G8_RESBK_Ch09_011_019.pe 2/12/06 8:12 PM Page 11

1. Use a line plot to organize the data of the distances students travel to school.

Copyright © by Holt, Rinehart and Winston. 12 Holt MathematicsAll rights reserved.

Name Date Class

Practice BOrganizing Data9-2

LESSON

List the data values in the stem-and-leaf plot.

2. 2 0 1 5 73 2 2 94 5 6 7 95 1 3 Key: 5 | 1 � 51

3. Use the given data to make a back-to-back stem-and-leaf plot.

4. Make a Venn diagram to show how many girls in an eighth-grade class belonged to both a team and a club.

Wins Losses

Key:

NBA Team Wins Losses NBA Team Wins Losses

San Antonio 58 24 Houston 45 37Spurs Rockets

Utah Jazz 53 29 Denver 40 42Nuggets

Dallas 53 29 Vancouver 23 59Mavericks Grizzlies

Minnesota 47 35Timberwolves

NBA Midwest Division 2000–2001 Final Standings

Distances Students Travel to School (mi)2 8 6 10 5 4 6 8 3 211 5 1 3 6 5 7 5 2 4

Team yes no yes no yes yes yes no no yes no no

Club yes yes no yes yes no yes yes yes no no yes

Copyright © by Holt, Rinehart and Winston. 20 Holt MathematicsAll rights reserved.

Name Date Class

Practice AMeasures of Central Tendency9-3

LESSON

Find the mean, median, mode, and range of each set of numbers.

1. 4, 2, 6, 3, 8, 6, 6 2. 2, 8, 6, 9, 8, 7, 9, 8

mean: mode: mean: mode:

median: range: median: range:

3. 12, 9, 14, 22, 3, 11, 14, 15 4. 89, 45, 68, 94, 70, 94, 86

mean: mode: mean: mode:

median: range: median: range:

Determine and find the most appropriate measure of central tendency or range for each situation. Refer to the table.

5. What number best describes the middle ofthe waterfall heights?

median; 531 ft6. What number appears most often in the

waterfall heights?

mode; 620 ft7. Which measure of central tendency is best

to describe the waterfall heights? Explainyour reasoning.

Possible answer: The median is best because it eliminates the influence

of the outlie8. An official for the department of transportation counted the

number of vehicles that passed through a busy intersection. Hecounted for 10 consecutive minutes and recorded the number ofvehicles for each minute: 18, 41, 25, 9, 22, 36, 24, 13, 25, and28. What number best describes the middle of the data?

mean � 24.1

49861913

94781412.5

7866

87.12565

Waterfall Heights (ft)

Feather, CA 640

Bridalveil, CA 620

Ribbon, NV 1,612

Seven, CO 300

Akaka, HI 442

Shoshone, ID 212

Taughannock, NY 215

Multnomah, OR 620

MSM07G8_RESBK_Ch09_020_027.pe 2/12/06 8:14 PM Page 20

Copyright © by Holt, Rinehart and Winston. 21 Holt MathematicsAll rights reserved.

Name Date Class

Practice BMeasures of Central Tendency9-3

LESSON

Find the mean, median, mode, and range of each data set.

1. 7, 7, 4, 9, 6, 4, 5, 8, 4 2. 1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1

mean: mean:

median: median:

mode: mode:

range: range:

3. 31, 28, 31, 30, 31, 30, 4. 65, 46, 78, 3, 87,31, 31, 30, 31, 30, 31 12, 99, 38, 71, 38

mean: mean:

median: median:

mode: mode:

range: range:

Determine and find the most appropriatemeasure of central tendency or range foreach situation. Refer to the table at the rightfor Exercises 5–7.

5. Which measure best describes the middleof the data?

6. Which earthquake magnitude occurredmost frequently?

7. How spread out are the data?

8. Nicole purchased gasoline 8 times in the last two months. Theprices that she paid per gallon each time were $2.19, $2.14,$2.28, $2.09, $2.01, $1.99, $2.19, and $2.39. Which measuremakes the prices appear lowest?

Some Major Earthquakes inUnited States History

Year Location Magnitude

1812 Missouri 7.9

1872 California 7.8

1906 California 7.7

1957 Alaska 8.8

1964 Alaska 9.2

1965 Alaska 8.7

1983 Idaho 7.3

1986 Alaska 8.0

1987 Alaska 7.9

1992 California 7.6

Copyright © by Holt, Rinehart and Winston. 28 Holt MathematicsAll rights reserved.

Name Date Class

Practice AVariability9-4

LESSON

Find the least value, greatest value, and median for eachdata set.

1. 6, 9, 3, 7, 8, 7, 5 2. 12, 8, 24, 19, 15, 20, 13

least value: least value:

greatest value: greatest value:

median: median:

Find the given values for each data set. Then use the values tomake a box-and-whisker plot.

3. 27, 33, 28, 26, 34, 40, 21

least value:

greatest value:

median:

first quartile:

third quartile:

4. 48, 64, 49, 55, 67, 50, 35, 62, 44, 52, 58

least value:

greatest value:

median:

first quartile:

third quartile:

4010 20 30 706050

62

48

52

67

35

4010 20 30 50

34

26

28

40

21

157

249

83

MSM07G8_RESBK_Ch09_028_035.pe 2/12/06 8:22 PM Page 28

Copyright © by Holt, Rinehart and Winston. 29 Holt MathematicsAll rights reserved.

Name Date Class

Practice BVariability9-4

LESSON

Find the first and third quartiles for each data set.

1. 37, 48, 56, 35, 53, 41, 50 2. 18, 20, 34, 33, 16, 44, 42, 27

first quartile: first quartile:

third quartile: third quartile:

Use the given data to make a box-and-whisker plot.

3. 55, 46, 70, 36, 43, 45, 52, 61

4. 23, 34, 31, 16, 38, 42, 45, 30, 28, 25, 19, 32, 53

Use the box-and-whisker plots to compare the data sets.

5. Compare the medians and ranges.

The median of data set 1 ieater than the median of data set 2. The

range of data set 2 is greater than the range of data set 1.6. Compare the ranges of the middle half of the data for each set.

The rreater in data set 2.

4010 20

Data set 1

Data set 2

30 6050

4010 20 30 6050

4010 20 30 706050

3853

1937

MSM07G8_RESBK_Ch09_028_035.pe 2/12/06 8:22 PM Page 29

1. Use the data to complete the double-bar graph.

2. Use the data to make a histogram with intervals of 10.

3. Make a double-line graph of the given data. Use the graph to estimate the heights of Dean and Susan when they were 9 years old.

At 9 years old, Dean was approximately

tall, and Susan was approximately tall.54.5 in.53.5 in.

Age Dean’s Susan’sHeight Height

2 35 in. 30 in.

4 41 in. 37 in.

6 46 in. 44 in.

8 50 in. 51 in.

10 57 in. 58 in.

12 60 in. 65 in.

Average High Temperatures in Aprilin Tourist Cities

Acapulco, Mexico 87 Montreal, Canada 51

Athens, Greece 67 Nassau, Bahamas 81

Dublin, Ireland 54 Paris, France 60

Hong Kong, China 79 Rome, Italy 68

London, U.K. 56 Sydney, Australia 73

Madrid, Spain 63 Toronto, Canada 51

Copyright © by Holt, Rinehart and Winston. 36 Holt MathematicsAll rights reserved.

Name Date Class

Practice ADisplaying Data9-5

LESSON

Nu

mb

er o

f To

uri

st C

itie

s

50–5

9

60–6

9

70–7

9

80–8

90

1

2

4

6

5

3

Temperature

Softball Scores 1 2 3 4 5 6 7 8

Team A 3 2 0 2 1 4 2 1

Team B 1 4 3 0 3 1 2 1

5

4

3

2

1

Fre

qu

ency

Score1 2 3 4 5 6 7 8

0

Team ATeam B

Softball Scores for Two Teams

0

2

4

6

8

10

12

30 35 40 45 50 656055

Children’s Age and Height

Ag

e

Height (in inches)

SusanDean

MSM07G8_RESBK_Ch09_036_044.pe 2/13/06 11:07 AM Page 36

Copyright © by Holt, Rinehart and Winston. 37 Holt MathematicsAll rights reserved.

1. Make a double-bar graph.

2. Use the data to make a histogram with intervals of 5.

3. Make a double-line graph of the given data. Use the graph to estimate the number of radio stations and cable TV systems in 2002.

Commercial Media in theUnited States

Radio Cable TVYear Stations Systems

1997 10,207 10,950

1999 10,444 10,700

2001 10,516 9,924

2003 10,605 9,339

Nu

mb

er o

f S

tud

ents

Allowance (dollars)

Weekly Allowance of 20 Students

$5 $15 $2 $10

$12 $12 $10 $15

$10 $5 $6 $4

$8 $7 $20 $7

$5 $4 $5 $9

Name Date Class

Practice BDisplaying Data9-5

LESSON

Daily Hours Worked 6 7 8 9 10 11 12

Crew A 4 3 6 1 3 1 2

Crew B 5 5 4 3 2 0 1

Fre

qu

ency

Hours Worked

Daily Hours Worked by Two CrewsDaily Hours Worked by Two Crews

Hours Worked

Year

U.S. Commercial Media

Nu

mb

er o

f E

nte

rpri

ses U.S. Commercial Media

Copyright © by Holt, Rinehart and Winston. 45 Holt MathematicsAll rights reserved.

Name Date Class

Practice AMisleading Graphs and Statistics9-6

LESSON

Explain why each graph is misleading.

1.

2.

Because the scale does not start at 0, the bars for Coun and Alternative

are almost 100%and Urban.

In fact, thlar radio formats.

Explain why the statistic is misleading.

3. A juice company surveyed 4 people about which juice theypreferred. Three of the people preferred the company’s juice over the competition’s. The company published that 3 times more people preferred their juice.

The sa size is too small.

Per

cen

t

Format

Radio Formats People Listen to Most

Count

ry

Altern

ative

Rock

News/T

alk

Oldies

Religio

us

Top

40

Urban

Adult C

onte

mpo

rary

20

22

24

26

28

38

36

34

32

30

The Price of a Pound of Applesin Selected Cities in September 2000

City

Pric

e(D

olla

rs) 1.25

1.000.750.500.25

0

Dallas$1.37Chicago

$1.10New York87 cents

Possible answers:

les are used

toces. However, the

areas of theles distort the

comrison. The area of the Dallas

is about 3 times the area of

the New Yorice

difference is about 1.5 times.

MSM07G8_RESBK_Ch09_045_052.pe 2/12/06 8:08 PM Page 45

Copyright © by Holt, Rinehart and Winston. 46 Holt MathematicsAll rights reserved.

Name Date Class

Practice BMisleading Graphs and Statistics9-6

LESSON

Explain why each graph is misleading.

1.

2.

Because the scale does not start at 0, the bar for 1997 is more than 21

times than the bar for 1980. In fact, the 1997 minimum we is

oneater than the 1980 minim

Explain why the statistic is misleading.

3. A chewing gum company advertises that the flavor of its newchewing gum lasts for an average of 55 minutes based on thefollowing durations reported by customers: 12 min, 33 min,5 min, 200 min, and 25 min.

rted that the flavor

that the flavor will last for 55 min.

Min

imu

m W

age

Year of Increase

Federal Minimun Wage Rates Since 1980

$3.00

$3.50

$4.00

$4.50

$5.00

$5.50

1980

$3.10$3.35

$3.80$4.25

$4.75$5.15

1981 1990 1991 1996 1997

On the RoadNumber of Trucks that Travel City Roads

50,000

0

100,000

2001

57,43052,27550,010

2000

1999

Possible answers:

The heits of the truck bars

h

is not eortioned. The

2001 bar is about 3 times taller

than the 1999 bar. In fact, the

data for the 3ars is close

tether.

MSM07G8_RESBK_Ch09_045_052.pe 2/12/06 8:08 PM Page 46

Copyright © by Holt, Rinehart and Winston. 53 Holt MathematicsAll rights reserved.

Name Date Class

Practice AScatter Plots9-7

LESSON

4. Use the data to predict how much money Tyler would be paid for

babysitting 7�12

� hours.

Amount Tyler Earns Babysitting

According to the data, Tyler would get paid $ for

babysitting 7�12

� hours.

30

Hours 1 2 3 4 5 6 7 8

Amount $4 $8 $12 $16 $20 $24 $28 $32

1. Use the given data to make a scatter plot.

Calories and Fat Per Portion of Meat & Fish

Do the data sets have a positive, a negative, or no correlation?

0

100

200

300

50

150

250

350

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 320

Calories and Fat Per Portion of Meat and Fish

Cal

ori

es

Fat (grams)

Fat (grams) Calories

Fish sticks (breaded) 3 50

Shrimp (fried) 9 190

Tuna (canned in oil) 7 170

Ground beef (broiled) 10 185

Roast beef (relatively lean) 7 165

Ham (light cure, lean and fat) 19 245

2. The size of the bag of popcorn andthe price of the popcorn

positive correlation

3. The increase in temperature andnumber of snowboards sold

neative correlation

MSM07G8_RESBK_Ch09_053_060.pe 2/13/06 11:12 AM Page 53

Copyright © by Holt, Rinehart and Winston. 54 Holt MathematicsAll rights reserved.

Name Date Class

Practice BScatter Plots9-7

LESSON

1. Use the given data to make a scatter plot.

Tall Buildings in U.S. Cities

Do the data sets have a positive, a negative, or no correlation?

Tall Buildings in U.S. Cities

Building City Stories Height (meters)

Sears Tower Chicago 110 442

Empire State Building New York 102 381

Bank of America Plaza Atlanta 55 312

Library Tower Los Angeles 75 310

Key Tower Cleveland 57 290

Columbia Seafirst Center Seattle 76 287

NationsBank Plaza Dallas 72 281

NationsBank Corporate Center Charlotte 60 265

2. The temperature outside and thenumber of ice cream cones sold

positive correlation

3. The amount of time spent in thebathtub and the temperature of thebath water

negative correlation

4. Use the data to predict the percent of Americans owning a homein 1955.

Percent of Americans Owning Homes

According to the data, about % of Americans owned a home in 1955.58.5

Year 1950 1960 1970 1980 1990

Percent 55.0% 61.9% 62.9% 64.4% 64.2%

MSM07G8_RESBK_Ch09_053_060.pe 2/13/06 11:12 AM Page 54

Copyright © by Holt, Rinehart and Winston. 61 Holt MathematicsAll rights reserved.

Name Date Class

Practice AChoosing the Best Representation of Data9-8

LESSON

1. Which graph is a better display of the number of vacation days certain countries have in a year?

h is a better

d.

2. Which graph is a better display of the distribution of cats’weights?

Testion asks about the distribution of data, so the box-and-whisker

3. A scientist measured the lengths of 10 earthworms. The table shows her data. Choose an appropriate data display and draw the graph.

Earthworm Lengths (cm)

8 14 9 10 9

11 7 10 12 9

Country

Vacation Days Per Year

Nu

mb

er o

fV

acat

ion

Day

s

05

1015202530354045

FranceCanada Italy Korea UnitedStates 0

Country

Vacation Days Per Year

Nu

mb

er o

fV

acat

ion

Day

s

51015

2530354045

20

Canad

a

Franc

eIta

ly

Korea

United

State

s

8 9 10 11 12 13 14 15 16 lb

Cat

0

Cat Weights (lb)

Po

un

ds

246

1210

14

1816

8

1 2 3 4 5 6

MSM07G8_RESBK_Ch09_061_068.pe 2/12/06 8:35 PM Page 61

Copyright © by Holt, Rinehart and Winston. 62 Holt MathematicsAll rights reserved.

Name Date Class

Practice BChoosing the Best Representation of Data9-8

LESSON

1. Which graph is a better display of the number of students in a class who chose math as their favorite subject?

h

is a better d

2. Which graph is a better display of the change in the number of cell telephone subscribers?

The data show cha.

3. The table shows the heights of players on a school basketball team. Choose an appropriate data display and draw the graph.

Possible answer:

Heights of Basketball Players (in.)

70 64 68 71

61 68 65 73

20%

MathSocial StudiesEnglishReading

10%

30%

40%

Students’ Favorite Subjects

Subject

Students’ Favorite Subjects

Stu

den

ts

0

2

4

10

8

12

14

6

Math SocialStudies

English Reading

199819992000200120022003

U.S. Cellular Telephone Subscribers (millions)

Year

U.S. Cellular Telephone Subscribers

Mill

ion

s o

fS

ub

scri

ber

s

020406080

100120140160180

1998 1999 2000 2001 2002 2003

MSM07G8_RESBK_Ch09_061_068.pe 2/12/06 8:35 PM Page 62