Museum management. Refer to the Museum Management and Curatorship (June 2010) study of how museums evaluate their performance, Exercise 2.14 (p. 74). Recall that managers of 30 contemporary art museums identified the performance measure used most often. A summary of the results is reproduced in the table. Consider the bar graph shown. Identify two ways the bar graph might mislead the viewer by overemphasizing the importance of one of the performance measures.

Short Answer

Expert verified

Misleading graphs portray false conclusions by misrepresenting the statistical information provided. They're also known as misshapen graphs. Intentionally or accidentally, deceptive graphs might be created.

Step by step solution

01

Misleading graph

A misleading graph also referred to as a skewed chart, misrepresents data, resulting in a statistical error and the drawing of an inaccurate conclusion. Graphs can be deceptive if they are overly complicated or badly structured. Even when designed to depict the features of its information accurately, graphs might be vulnerable to conflicting interpretations, and undesired types of information can be created. Deceptive graphs can be intentionally misleading, or they might result in somebody not comprehending the facts underlying the graph they make.

02

Two ways in mislead the graph

The vertical axis of a bar graph should begin at 0. However, it begins at 12 in this case.

a) The vertical axis does not begin at 0 degrees.

Moreover, because the width is unequal, we cannot comprehend the meaning of area, i.e., final tally.

b) The bars are not all the same width.

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Most popular questions from this chapter

Calculate the mean and median of the following grade point averages:

3.2, 2.5, 2.1, 3.7, 2.8, 2.0

In terms of percentiles, define QL, QM and QU

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 “star” 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’s 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.

Question: Construct a scatterplot for the data in the following table.

Variable 1: 5 1 1.5 2 2.5 3 3.5 4 4.5 5

Variable 2: 2 1 3 4 6 10 9 12 17 17

Rankings of research universities.Refer to the College Choice 2015 Rankings of National Research Universities, Exercise 2.43 (p. 95). Recall that data on academic reputation score, financial aid awarded, and net cost to attend for the top 50 research universities are saved in the TOPUNIV file. The 50 academic reputation scores are listed in the accompanying table.

99 92 94 95 97 91 91 92 92 89 84 85 100 87 83 83 89 79 94 79 79 87 76 67 76 76 76 70 74 64 74 69 66 72 65 76 64 65 61 69 62 69 52 64 64 47 60 57 63 62

a.Find the median, lower quartile, and upper quartile for the data.

b.Find IQR for the data.

c.Graph the data with a box plot.

d.Do you detect any outliers? Suspect outliers?

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