slide 3 - 1 active learning questions copyright © 2009 pearson education, inc. for use with...

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Slide 3 - 1 Active Learning Questions Copyright © 2009 Pearson Education, Inc. For use with classroom response systems Chapter 3 Visual Displays of Data

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Slide 3 - 1

Active Learning Questions

Copyright © 2009 Pearson Education, Inc.

For use with classroom response systems

Chapter 3 Visual Displays of Data

Slide 3 - 2

A teacher asked each her students how many novels they had read in the previous six months. The results were: 0, 1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2, 7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a frequency table for the number of novels read.

a. # Freq

7 0

11 1

9 2

3 3

2 4

2 5

2 6

4 7

b. # Freq

0 4

1 2

2 2

3 2

4 3

5 9

6 11

7 7

c. # Freq

0 11

1 9

2 7

3 4

4 3

5 2

6 2

7 2

d. # Freq

0 7

1 11

2 9

3 3

4 2

5 2

6 2

7 4

Slide 3 - 3

A teacher asked each her students how many novels they had read in the previous six months. The results were: 0, 1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2, 7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a frequency table for the number of novels read.

a. # Freq

7 0

11 1

9 2

3 3

2 4

2 5

2 6

4 7

b. # Freq

0 4

1 2

2 2

3 2

4 3

5 9

6 11

7 7

c. # Freq

0 11

1 9

2 7

3 4

4 3

5 2

6 2

7 2

d. # Freq

0 7

1 11

2 9

3 3

4 2

5 2

6 2

7 4

Slide 3 - 4

On Monday mornings, a bookie tabulates the point spreads for basketball games played on Saturday and Sunday. He found that 5 games had a spread of 1 or 2 points, 4 had a spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3 were more than 10. Construct a relative frequency table the bookie obtained for the weekend basketball games.

a.

b.

c.

d.

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 18.75% 25.00% 25.00% 31.25%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 31.25% 25.00% 25.00% 18.75%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 25.00% 31.25% 18.75% 25.00%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 3125% 2500% 2500% 1875%

Slide 3 - 5

On Monday mornings, a bookie tabulates the point spreads for basketball games played on Saturday and Sunday. He found that 5 games had a spread of 1 or 2 points, 4 had a spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3 were more than 10. Construct a relative frequency table the bookie obtained for the weekend basketball games.

a.

b.

c.

d.

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 18.75% 25.00% 25.00% 31.25%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 31.25% 25.00% 25.00% 18.75%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 25.00% 31.25% 18.75% 25.00%

Pt Spread 1-2 3-6 7-10 > 10

Rel Freq 3125% 2500% 2500% 1875%

Slide 3 - 6

Construct a cumulative frequency table for the data of the weight of 30 stones.

a.

b.

c.

d.

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 5 2 5 5 13

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

# Stones 5 2 5 5 13

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 5 7 12 17 30

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 30 30 30 30 30

Weight 1.2-3.6

Cumulative Freq 30

Slide 3 - 7

Construct a cumulative frequency table for the data of the weight of 30 stones.

a.

b.

c.

d.

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 5 2 5 5 13

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

# Stones 5 2 5 5 13

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 5 7 12 17 30

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6

Cumulative Freq 30 30 30 30 30

Weight 1.2-3.6

Cumulative Freq 30

Slide 3 - 8

Construct a bar chart for the relative frequencies given.

a.

Blood Type O A B AB

Frequency 22 19 6 3

Rel Frequency 0.44 0.38 0.12 0.06

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O A B AB

Re

lati

ve

Fre

qu

en

cy

0

5

10

15

20

25

O A B AB

Fre

qu

en

cy

b.

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O A B AB

Re

lati

ve

Fre

qu

en

cy

0

5

10

15

20

25

O A B AB

Fre

qu

en

cy

c. d.

Slide 3 - 9

Construct a bar chart for the relative frequencies given.

a.

Blood Type O A B AB

Frequency 22 19 6 3

Rel Frequency 0.44 0.38 0.12 0.06

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O A B AB

Re

lati

ve

Fre

qu

en

cy

0

5

10

15

20

25

O A B AB

Fre

qu

en

cy

b.

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O A B AB

Re

lati

ve

Fre

qu

en

cy

0

5

10

15

20

25

O A B AB

Fre

qu

en

cy

c. d.

Slide 3 - 10

The following dot plot represents the ages of the people in a sample selected from a group if campaign volunteers. How many people were in the sample?

a. 27

b. 21

c. 28

d. 30

20 22 24 26 28 30 32 34 36 38

Slide 3 - 11

The following dot plot represents the ages of the people in a sample selected from a group if campaign volunteers. How many people were in the sample?

a. 27

b. 21

c. 28

d. 30

20 22 24 26 28 30 32 34 36 38

Slide 3 - 12

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for root beer bash, and two for masquerade. Display the vote count in a Pareto chart.

a. b.

c. d.

0

1

2

3

4

5

6

7

8

9

Toga Hayride Beer Bash Masquerade

0

1

2

3

4

5

6

7

8

9

Toga Hayride Beer Bash Masquerade

0

1

2

3

4

5

6

7

8

9

Beer Bash Toga Hayride Masquerade

0

1

2

3

4

5

6

7

8

9

Masquerade Hayride Toga Beer Bash

Slide 3 - 13

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for a root beer bash, and two for masquerade. Display the vote count in a Pareto chart.

a. b.

c. d.

0

1

2

3

4

5

6

7

8

9

Toga Hayride Beer Bash Masquerade

0

1

2

3

4

5

6

7

8

9

Toga Hayride Beer Bash Masquerade

0

1

2

3

4

5

6

7

8

9

Beer Bash Toga Hayride Masquerade

0

1

2

3

4

5

6

7

8

9

Masquerade Hayride Toga Beer Bash

Slide 3 - 14

The data represents the results of a poll in which the following question was asked:, “To what degree are you satisfied with the outcome of the 1994 mayoral election?” Very: 36, Somewhat: 48, Not at All: 62, No opinion: 54. Which pie chart represents the data set?a. b.

c. d.

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Slide 3 - 15

The data represents the results of a poll in which the following question was asked:, “To what degree are you satisfied with the outcome of the 1994 mayoral election?” Very: 36, Somewhat: 48, Not at All: 62, No opinion: 54. Which pie chart represents the data set?a. b.

c. d.

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Very Somewhat Not at All No Opinion

Slide 3 - 16

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40.

a. 8 b. 6 c. 64 d. 640

Given that 800 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading greater than 140 and less than or equal to 150? 100 110 120 130 140 150 160

0.000.050.100.15

0.20

0.25

0.300.35

Systolic Blood Pressure (mm Hg)

Slide 3 - 17

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40.

a. 8 b. 6 c. 64 d. 640

Given that 800 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading greater than 140 and less than or equal to 150? 100 110 120 130 140 150 160

0.000.050.100.15

0.20

0.25

0.300.35

Systolic Blood Pressure (mm Hg)

Slide 3 - 18

The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September, 2006. Using bins of 2 hours width, which relative frequency histogram represents the data?6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4a. b.

c.

d. None of the previous

Slide 3 - 19

The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September, 2006. Using bins of 2 hours width, which relative frequency histogram represents the data?6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4a. b.

c.

d. None of the previous

Slide 3 - 20

Find the original data from the stem-and-leaf plot.

a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44

b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12

c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44

d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

Stem1234

Leaves1 81 1 3 71 3 3 8 93 4

Slide 3 - 21

Find the original data from the stem-and-leaf plot.

a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44

b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12

c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44

d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

Stem1234

Leaves1 81 1 3 71 3 3 8 93 4

Slide 3 - 22

A machine is supposed to fill juice bottles with 16 fluid ounces of juice. The manufacturer picks a sample of bottles that have been filled by the machine and determine the volume of juice in each bottle. The leaf unit is 0.1. What is the smallest volume of juice (in fluid ounces) measured for the bottles?

a. 16 fluid ounces b. 151 fluid ounces

c. 15.1 fluid ounces d. 15 fluid ounces

15151515151616161616

134 56 6 7 7 7 78 8 8 8 9 9 9 9 90 0 0 0 0 0 1 1 1 1 12 2 2 2 3 3 3 34 4 56 68

Slide 3 - 23

A machine is supposed to fill juice bottles with 16 fluid ounces of juice. The manufacturer picks a sample of bottles that have been filled by the machine and determine the volume of juice in each bottle. The leaf unit is 0.1. What is the smallest volume of juice (in fluid ounces) measured for the bottles?

a. 16 fluid ounces b. 151 fluid ounces

c. 15.1 fluid ounces d. 15 fluid ounces

15151515151616161616

134 56 6 7 7 7 78 8 8 8 9 9 9 9 90 0 0 0 0 0 1 1 1 1 12 2 2 2 3 3 3 34 4 56 68

Slide 3 - 24

Which line chart represents the data in the table?

a. b.

c.

d. None of the previous

Score 10-14 15-19 20-24 25-29 30-34

Freq 2 5 13 17 6

Slide 3 - 25

Which line chart represents the data in the table?

a. b.

c.

d. None of the previous

Score 10-14 15-19 20-24 25-29 30-34

Freq 2 5 13 17 6

Slide 3 - 26

The time series line chart shows the prices of a volatile stock from January 1999 to December 1999. Between

a. June - July b. August - September

c. May - June d. None of the previous

which two consecutive months did the price of the stock drop by the greatest percentage?

Slide 3 - 27

The time series line chart shows the prices of a volatile stock from January 1999 to December 1999. Between

a. June - July b. August - September

c. May - June d. None of the previous

which two consecutive months did the price of the stock drop by the greatest percentage?

Slide 3 - 28

Identify the utility that accounts for over half the total bill in two months.

a. Water

b. Electric

c. Gas

d. No single utility accounts for more than half the total bill in two months.

Slide 3 - 29

Identify the utility that accounts for over half the total bill in two months.

a. Water

b. Electric

c. Gas

d. No single utility accounts for more than half the total bill in two months.

Slide 3 - 30

Identify the class that had more than half 2.5 or better GPA’s for the five decades.

a. Srb. Jrc. Sod. Fr

Slide 3 - 31

Identify the class that had more than half 2.5 or better GPA’s for all five decades.

a. Srb. Jrc. Sod. Fr