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Chapter 2: 139 SE (page 142)

Construct a relative frequency histogram for the data summarized in the accompanying table.

Short Answer

Expert verified

The graph is given below:

Step by step solution

01

Defining the relative frequency

Relative frequency shows how often something happens compared to others. It is calculated as the number of times something happens divided by the total outcomes. The heights of all bar in the relative frequency histogram must add up to 1.

02

Construct the relative frequency histogram 

Plot measurement class on the x-axis and the relative frequency on the y-axis. Then draw vertical bars with heights matching the value of relative frequency.

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Most popular questions from this chapter

Performance-based logistics.Refer to the Journal of Business Logistics(Vol. 36, 2015) study of the factors thatlead to successful performance-based logistics (PBL) projects, Exercise 1.15 (p. 49). Recall that the opinions of a sampleof 17 Department of Defense employees and suppliers weresolicited during interviews. Demographics (current position,organization type, experience) were recorded for each intervieweeand the data are listed in the table below.

a.Find and interpret the mean years of experience for the 17 interviewees.

b.Find and interpret the median years of experience for the 17 interviewees.

c.Find and interpret the mode of the 17 years of experience values.

Interviewee

Position

Organization

Experience(years)

1

Vice president

Commercial

30

2

Postproduction

Government

15

3

Analyst

Commercial

10

4

Senior manager (mgr.)

Government

30

5

Support chief

Government

30

6

Specialist

Government

25

7

Senior analyst

Commercial

9

8

Division chief

Government

6

9

Item mgr.

Government

3

10

Senior mgr.

Government

20

11

MRO mgr.

Government

25

12

Logistics mgr.

Government

30

13

MRO mgr.

Commercial

10

14

MRO mgr.

Commercial

5

15

MRO mgr.

Commercial

10

16

Specialist

Government

20

17

Chief

Government

25

Calculate the mode, mean, and median of the following data:

18 10 15 13 17 15 12 15 18 16 11

Crash tests on new cars.The National Highway Traffic Safety Administration (NHTSA) crash-tests new car models to determine how well they protect the driver and front-seat passenger in a head-on collision. The NHTSA has developed a 鈥渟tar鈥� scoring system for the frontal crash test, with results ranging from one star (*) to five stars (). The more stars in the rating, the better the level of crash protection in a head-on collision. The NHTSA crashtest results for 98 cars (in a recent model year) are stored in the accompanying data file.

a. The driver-side star ratings for the 98 cars are summarized in the Minitab printout shown below. Use the information in the printout to form a pie chart. Interpret the graph.

Tally for Discrete Variables: DRIVSTAR

DRIVSTAR

Count

Percent

2

3

4

5

N =

4

17

59

18

98

4.08

17.35

60.20

18.37


b. One quantitative variable recorded by the NHTSA is the driver鈥檚 severity of head injury (measured on a scale from 0 to 1,500). The mean and standard deviation for the 98 driver head-injury ratings are displayed in the Minitab printout below. Give a practical interpretation of the mean.
Descriptive Statistics: DRIVHEAD

Variable

N

Mean

StDev

Minimum

Q1

Median

Q3

Maximum

DRIVHEAD

98

603.7

185.4

216.0

475.0

605.0

724.3

1240.0

C. Use the mean and standard deviation to make a statement about where most of the head-injury ratings fall.

d..Find the z-score for a driver head-injury rating of 408. Interpret the result.

Compute xbar, s2, and sfor each of the following data sets. If appropriate, specify the units in which your answer is expressed.

a.3, 1, 10, 10, 4

b.8 feet, 10 feet, 32 feet, 5 feet

c.-1, -4, -3, 1, -4, -4

d.1/5 ounce, 1/5 ounce, 1/5 ounce, 2/5 ounce, 1/5 ounce, 4/5 ounce

Hotels鈥� use of ecolabels.Ecolabels such as Energy Star, Green Key, and Audubon Internationalare used by hotels to advertise their energy-saving and conservation policies. The Journal of Vacation Marketing(January 2016) published a study to investigate how familiar travelers are with these ecolabels and whether travelers believe they are credible. A sample of 392 adult travelers were administered a questionnaire. One question showed a list of 6 different eco-labels, and asked, 鈥淗ow familiar are you with this ecolabel, on a scale of 1 (not familiar at all) to 5 (very familiar).鈥� Summarized results for the numerical responses are given in the table.

a.Give a practical interpretation of the mean response for Energy Star.

b.Give a practical interpretation of the median response for Energy Star.

c.Give a practical interpretation of the response mode for Energy Star.

d.Based on these summary statistics, which ecolabel appears to be most familiar to travelers?

Ecolabel

Mean

Median

Mode

Energy Star

4.44

5

5

TripAdvisor

3.57

4

4

Green Leaders Audubon

2.41

2

1

International U.S Green

2.28

2

1

Building Council Green Business

2.25

2

1

Green Key

2.01

1

1
See all solutions

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