Practicecontinued 4.8 Name Date

In Exercises 11-13, use the picture graph, which shows the number of TV sets ineach household on a particular street.

11. How many households have 3 TV's?

12. Find the mean, median, and mode number of TV's.

13. Which measure of central tendency best represents the numberof TV's in a household? Explain.

0 1 2 3 4 5 6

In Exercises 14 and 15, use the table below. The data in the table gives the prices•»f eight homes sold in a new housing development.

Home

Price

1

56,000

2

68,000

3

96,000

4

62,000

5

58,000

6

63,000

7

69,000

8

96,000

14. Find the mean, median, and mode of the data.

15. Which measure of central tendency best represents the data? Explain. gl

66 Practice Workbook Middle School Mathematics, Course 2

Practice A a Name Date

In Exercises 1-4, find the mean, median, and mode of the data.

1. 30,32,31,30,29,34 2. 16.5,18.7,19.2,17.3V 18.4,16.2,17.6,16.9

3. 7,8,10,12,6,8,9,8,9,11,9,8,12 4. 42,48,43,48,51,51,48,46,46

51

In Exercises 5-7, use the line plot at the right,

5. How many numbers are represented in the line plot?

6. Find the mean, median, and mode of the numbers.

7. Describe a real-life situation that can be represented by the line plot.

In Exercises 8-10, which measure of central tendency best represents the data?Explain your reasoning.

8. The favorite colors of 24 students from a second grade class.

9. The prices on a used car lot with a small number of very expensive cars.

10. The number of hours of study time each week by a college freshman.

XX XX X X

X X X X X Xx x x x x x x x

•«H 1 1 1 1 1 1 (->•10 11 12 13 14 15 16 17

Middle School Mathematics, Course 2 Practice Workbook

Name Class Date

In 1995, eight states had pupil-teacher ratios that wereclose to the U.S. average of 17.3. Use the table at theright. Find the a) mean, b) median, and c) mode.

_ M sum of data itemsa. Mean. number of data items

17.1 + 17.1 + 17.5 + 17.0 + 17.5 + 17.0 + 17.1 + 17.08

Rounded to the nearest tenth, the mean is 17.2.b. Median: Write the data in order.

17.0,17.0,17.0,17.1,17.1,17.1,17.5,17.5m 2 17-1 = 17.1 Find the mean of the two middlenumbers. The median is 17.1

c. Mode: Find the data item that occurs most often.Both 17.0 and 17.1 occur 3 times. The modes are 17.0 and 17.1.

State

ArkansasIllinoisIndianaLouisianaMississippiNew MexicoOhioPennsylvania

Pupils perTeacher

17.117.117.517.017.517.017.117.0

Find the mean, median, and mode. Round to the nearest tenth wherenecessary.

mean median mode

1. 14.2 14.7 14.3 14.6

2 . 8 7 3 5 9 2 4 7

3. 37 42 51 28 36

4. 1.1 1.8 2.6 1.8 1.9 2.6

s

=Ifi

The world's largest body of freshwater is formedby the Great Lakes of North America. Use thetable of depths at the right. Find the followingstatistics. Round to the nearest tenth wherenecessary.

5. mean:

B. median:

LakeSuperior

Michigan

Huron

Erie

Ontario

Depth (in ft)1,333

923

750

210

802

7. mode:

-11 Pre-Algebra Chapter 3

Name Class Date

1. There were 8 judges at a gymnastics competition. Kathleen receivedthese scores for her performance on the uneven parallel bars:

8.9,8.7,8.9,9.2,8.8,8.2,8.9,8.8

a. Find these statistics: mean median mode

b. Which measure of central tendency best describes the data? Explain.

c. Why do you think that the highest and lowest judge's scores aredisregarded in tallying the total score in a gymnastics competition?

Find the mean, median, and mode. Round to the nearest tenth wherenecessary. Identify any outliers.

Data

2. 8,15,9,7,4,5,9,113. 70,61,28,40,60,72,

25, 31,64, 634. 4.9,5.7,6.0,5.3,4.8,

4.9,5.3,4.7,4;.9,5.6,5.1 . ;

5. 271,221,234,240,271/234,213,253,155.

6. 0,2,3,3,3,4,4,5

Mean Median Mode Outliers

Use the data in the table. Round to the nearest tenthwhere necessary.

7. What is the mean height of the five highest European

mountains? _

8. What is the median -height? _

. Is any of the heights an outlier? Explain.

PeakMont BlancMonte RosaDomLiskammWeis shorn

Height (ft)15,77115,20314,91114,85214,780

Practice Workbook 23 Pre-Algebra

Name Date

In Exercises 1-3, find the least and greatest number from each stem-and-leaf plot.Then make an ordered list of the data from the stem-and-leaf plot.

2. 3.345677

1 42 3 6 80 2 50 1 4 93 6 73 represents 73

789

101111

4 5 5 !2 3 91 4 70 2 8 !3 5 7 !

]

) 9I

3 represents 113.

1213141516

3 5 6 8 92 3 7 80491 3 3 7 94 5 8

16 [ 4 represents 16.4.

4. List the two sets of data.represented by the doublestem-and-leaf plot at the right. 9 8 7 6

553

9018 8 9

61210 represents 2.6 and 2.0.

1

aa

Middle School Mathematics, Course 2 Practice Workbook

continued Name Date

5. The following data represents the ages of customers in a restaurant on aparticular Saturday between 11:00 A.M. and 1:00 P.M. Organize the datawith an ordered stem-and-leaf plot.

24 33 39 51 16 18 24 28 33 5312 13 16 25 35 60 37 27 51 2032 36 47 41 26 28 17 19 23 3925 29 34 39 43 51 53 62 60 1917 23 20 30 33 36 49 42 47 50

In Exercise 6, use the set of data below which shows the batting averages of theAmerican League Batting Champions for the years 1970 through 1996.

1970(.329) 1971(.337) 1972(.318) 1973(.350) 1974(.364) 1975(.359) 1976(.333) 1977(.388)

1978(.333) 1979(.333) 1980(.390) 1981(336) 1982(.332) 1983(361) 1984(.343) 1985(.368)

1986(.357) 1987(363) 1988(.366) 1989(.339) 1990(.329) 1991(341) 1992(343) 1993(363)

1994(359) 1995(356) 1996(358)

6. Organize the data in a stem-and-leaf plot.

Practice Workbook . Middle School Mathematics, Course 2

Name Class Date

.

Use the data in the rainfall tableto make a frequency table and a lineplot for Albuquerque.

Inches

Frequency0

2

1

9

2

1

Average Monthly Rainfall (in.)

City

Albuquerque, NM

Charleston, SC

San Francisco, CA

Wilmington, DE

MonthJ F M A M J J A S OND

0 1 1 1 1 1 1 2 1 1 0 1

4 3 4 3 4 6 7 7 5 3 3 3

4 3 3 1 0 0 0 0 0 1 3 3

3 3 3 3 4 4 4 3 3 3 3 4

The numbers of inches are 0,1,2, sothese are listed in the top row. Sincetwo months have 0 inches (less than0.5 in.), the frequency is 2. Albuquerque has one inch of rainfallin 9 different months, so the frequency is 9. Similarly, the frequencyfor 2 inches is 1.To draw a line plot, start with anumber line. Label 0,1, and 2 inches. Then make the appropriatenumber of X's above each number. Be sure to line up your X'sacross from each other.

Albuquerque Rainfail

XXXXXXX

X XX X X

0 2Inches

Use the data in the rainfall table to make a frequency table and a lineplot for each city.

1. Charleston, SC

Charleston RainfallInchesFrequency

3 4 5 6 7

2. San Francisco, CA

Inches

Frequency

-San Francisco Rainfall

0 1 2 3 4

3, Wilmington, DE

Inches

FrequencyWilmington Rainfall

tt.

ET

f

2.

S.

Pre-Algebra Chapter 12 10

Name Class Date

1

in

J

I

4a"1

Draw a line plot for each freqnency table. Find the range.

1. NumberFrequency

12

20

•3

441

52

64

H 1 1 hrange: 1 2 3 4 5 6

2. NumberFrequency

14

24

30

40

53

62

range:

Display each set of data in a line plot.

3. 5146264513264546

1 2 3 4 5 6

4. 43121331321NumberFrequency

12

22

>^

144

53

64

NumberFrequency

14

22

34

41

Construct a frequency table from the line plot.

5. State Average Pupils per Teacher

XXX

X XX XX X

X X XX X X XX X X XX X X X X X XX X X X X X XX X X X X X XX X X X X X X

XX

14 15 16 17 18 19 20 21 22 23 24

Pupils perTeacher

Frequency

6. What is the range in pupil-teacher ratios?

Practice Workbook 99 Pre-Algebra

Name Date

in Exercises 1 and 2, use the histogram. It shows the number of singlenever married females (in thousands) in the United States by age groupfor 1994.

1. What age interval has the greatest number? What age interval hasthe least?

2. Write a summary statement about the number of single nevermarried females in the United States in 1994.

20-24 25-29 30-34 35-39 40-44Age

3. The data below are the approximate number of foreign bornresidents (in thousands) of each state in 1990. States with more than600,000 foreign-born residents have been excluded from the table.Make a frequency table for this data. Then draw a histogram of thedata, using intervals of 0-49, 50-99, ...., 550-999.

AKALARAZCOCTDEGAHI

254425

27814227922

173163

IAIDINKSKYLAMAMDME

432994633487

57431336

MIMNMOMSMTNCNDNENH

355113842014

1159

2841

NMNVOHOKORPARISCSD

81105260

65139369

9550

8

TNUTVAVTWAWIwvWY

5959

31218

32236168

Middle School Mathematics, Course 1 Practice Workbook 137

continued Mams. Date

4. The data below are the average cost per day (in dollars) of hospital careby state for 1990. Make a histogram of the data using the intervals375-424, 425-474, ... , 925-974.

AK 534AL 588AR 534AZ 867CA 939CO 725CT 825DE 771EL 769GA 630

HI 638IA 495ID 547IL 717IN 667KS 532KY 563LA 701MA 788MD 678

ME 574MI 716MN 536MO 679MS 439MT 405NC 595ND 427NE 490NH 671

NJ 613NM 734NV 854NY 641OH 720OK 632OR 800PA 662RI 663SC 590

SD 391TN 633TX 752UT 832VA 635VT 598WA 817WI 554WV 565WY 462

Practice Workbook Middle School Mathematics, Course 1

Name Class Date

'

Make a (U.S. Open wins, Wimbledon wins) scatter plot of the data in thetable. Is there a. positive correlation, a negative correlation, or no correlationbetween the two sets of data?

Player

Andre Agassi

Jimmy Conners

Chris Evert

Steffie Graf

John McEnroe

Martina Navratilova

Pete Sampras

Monica Seles

U.S.Open

1565444 •

2

Wimble-don

12

3

7

. 39

4

0

FrenchOpen

00

7

5

0

2

0

3

Aust.Open

112

4

0

3

2

4

10

c 8

§•DOS

4 6 8 10U.S. Open wins

Plot each (U.S. Open wins, Wimbledon wins) ordered pair.There does not seem to be a trend in the data. As the number of U.S. Openwins increase, the number of Wimbledon wins does not seem to increase ordecrease. Thus, there is no correlation.

•uo

<a

1. Make a (U.S. Open wins, FrenchOpen wins) scatter plot using thedata in the table above.

10

1 §

C x-Q) 0

Oj= 4o

I *0 2 4 6 8 10

U.S. Open wins

2. Make a (Wimbledon wins, AustralianOpen wins) scatter plot using thedata in the table above.

10

I 8

iI.5 4

tnI

2 4 6 8Wimbledon wins

10

Is there a positive correlation, & negative correlation, or no correlationbetween the data sets in each scatter plot?

(U.S. Open wins, French Open wins)

4. (Wimbledon wins, Australian Open wins)

13 Pre-Algebra Chapter 8

Name Class Date

• ;: .:

-au

Ue

aS

©

Use the data in the table.

1. Make a (year, units of CD's) scatter plot.1,UUU

•o§g 800

f t 600q|

" I 40°o —

.-e 200D

n

N<3f' c5f'N1 V N'

Year

Sales of Recorded Music

Year

1990

1991

1992

1993

1994

1995

1996

Millions of Units Shipped

CD's

287

333

408

495

662

723

779

Cassettes

442

360

366

340

345

273

225

LP's

12

5

2

1

2

2

3

2. Make a (year, units of cassettes)scatter plot.

3. Make a (year, units of LP's) scatter plot.

Units

of

cass

ete

ssh

ipped

(m

illio

ns)

1— '

tO O

O -p

a.

Lf

O

O

O

O

C=> 0

O

0 0

C

1Z

•«• 10£J 8

0 - ^ 6W "0

•1 & 4

•5 20

V V V

Year Year

Is there a positive correlation, a negative correlation, or KO correlationbetween the data sets in each scatter plot?

4. (year, units of CD's) scatterplot

5. (year, units of cassettes) scatterplot

6. (year, units of LP's) scatterplot _

Practice Workbook 69 Pre-Algebra

Name Class Date

Make a box-and-whisker plot for the data set.Step 1:

Step 2:

Step 3:

First list the data in order from least togreatest. Find the median.24 28 34 36 42 I 45 48 52 61 63Since there is an even number of percents (10),there are two middle numbers. Add them and divide by 2.42 2 4S = f = 43-5 T*16 median is 43.5.

Percent of Federally OwnedLand in Ten Western States

45% 24% 52% 61% 28%

42% 34% 48% 63% 36%

Find the upper and lower quartiles.The lower quartile is the median of the lower half.The lower quartile is 34.The upper quartile is the median of the upper half.The upper quartile is 52.

24 28 34 36 42

45 48 52 61 63

Draw a number line. Mark the least and greatest values, themedian, and the quartiles. Draw a box from the first to thethird quartiles. Draw whiskers from the least and greatestvalues to the box.

The data range from 24 to 63. A scale of 5 from 20 to 70 wouldhave 11 marks.-«—i—i—i—i—i—i—i—i—I—i—h-»-20 25 30 35 40 45 50 55 60 65 70

•a

Make a box-and-whisker plot for each data set.

1. Area in 1,000 mi2 of 13 western states. 2. Percent of area that is inland water for11 northeastern states.

122 164 71 98 84 147 114111 98 85 104 71 77

median:

lower quartile:

upper quartile:

70 90 110 130 150 170

13% 4% 26% 4% 32% 13%15% 3% 21% 7% 21%

median:

lower quartile:

upper quartile:

10 20 30 40

11 Pre-Algebra Chapter 12

Name Class Date

.; Z, BE ' :

Use the box-and-whisker plot to answer each question.

Weekly Mileage Totals, 24 Runners

10 15 20 25 30 35 40 45 50 55 60

1. What is the highest weekly total?

2. What is the median weekly total?

the lowest?

3. What percent of runners run less than 40 miles a week?

4. How many runners run less than 20 miles a week?

Make a box-and-whisker plot for each set of data.

5. 16 20 30 15 23 11 15 21 30 29 13 16 -*—i i i i i i i i i i i i i i i i i i i i i—10 15 20 25 30

6. 9 12 10 3 2 3 9 11 5 1 10 4 7 12 3 10 « I ' ' ' • i ' ' ' ' i ' ' ' ' i0 5 10 15

7. 70 77 67 65 79 82 70 68 75 73 69 6670 73 89 72 60 65 70 75 80 85 90

Use box-and-whisker plots to compare data sets. Use a single number linefor each comparison.

8. 1st set: 7 12 25 3 1 29 30 7 15 2 510 29 1 10 30 18 8 7 29

2nd set: 37 17 14 43 27 19 32 1 8 4826 16 28 6 25 18

9. Area in 1,000 mi2

midwestern states:45 36 58 97 56 65 87 82 77southern states:52 59 48 52 42 32 54 43 70 53 66

0 5 10 15 20 25 30 35 40 45 50

1st Set

2nd Set

MidwesternStates

SouthernStates

—I 1 1 H—30 40 50 60 70 80 90 100

II8

.tnc.

Pre-Algebra 100 Practice Workbook

Name Date

In Exercises 1-5, use the box-and-whisker plot.There are20 numbers in the collection, and each number is different.

10 20 30 40

18 29 40

1 . Name the. least and greatest numbers.

3. What percent of the numbers are less than 29?

2. Name the first, second, and third quartiles.

4. What percent of the numbers are greater than 29?

5. What percent of the numbers are between 18and 40?

6. Draw a bbx-and-whisker plot for the data.4,33,99, 20,79, 95,22, 35, 93,10, 54, 85, 97,27,12,5,72,1,42,30

In Exercises 7 and 8, use the box and whisker plot which shows the averagemonthly high temperature distribution for Milwaukee, Wisconsin indegrees fahrenheit.

20 30 40 50 60 70 80

26 35 57 73 80

7. Write a description of Milwaukee's average monthly high temperature.

1 8. Create a box-and-whisker plot for Honolulu's average monthly hightemperature in which the lowest monthly average high temperature is80° F, the highest is 88° F, the first quartile is 81 ° F, the median is84.5° F, and the third quartile is 87° F.

Middle School Mathematics, Course 2 Practice Workbook

continuedName. Date

In Exercises 9 and 10, use the data which lists the scores of Super Bowl winningteams and Super Bowl losing teams.

Winners: 35, 33,16,23,16, 24,14, 24,16,21, 32, 27, 35,31,27,26, 27, 38, 38,46, 39,42, 20, 55,20, 37, 52, 30,49, 27, 35

Losers: 10, 14, 7 ,7 ,13 , 3, 7,7, 6,17,14,10, 31,19,10,21, 17,9, 16,10,20,10,16,10,19, 24,17,13, 26,17,21

9. Using the same scale, create a box-and-whisker plot for both scores.

10. What do the plots tell you about the winning and losing scores? Writeyour answers in paragraph form.

©s

154 Practice Workbook Middle School Mathematics, Course 2