Chapter 2: 139 SE (page 142)
Construct a relative frequency histogram for the data summarized in the accompanying table.
Short Answer
The graph is given below:
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Chapter 2: 139 SE (page 142)
Construct a relative frequency histogram for the data summarized in the accompanying table.
The graph is given below:
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Professional athletes鈥 salaries.The salaries of superstar professional athletes receive much attention in the media. The multimillion-dollar long-term contract is now commonplace among this elite group. Nevertheless, rarely does a season pass without negotiations between one or more of the players鈥 associations and team owners for additional salary and fringe benefits for allplayers in their particular sports.
a.If a players鈥 association wanted to support its argument for higher 鈥渁verage鈥 salaries, which measure of central tendency do you think it should use? Why?
b.To refute the argument, which measure of central tendency should the owners apply to the players鈥 salaries? Why?
Parking at a university has become a problem. The university鈥檚 administrators are interested in determining the average time it takes a student to find a parking spot. An administrator inconspicuously followed 190 students and recorded how long it took each of them to find a parking spot. The durations had a distribution that was skewed to the left. Based on this information, discuss the relationship between the mean and the median for the 190 times collected.
The amount spent on textbooks for the fall term was recorded for a sample of five university students. The following data were observed: \(400, \)350, \(600, \)525, and $450. Calculate each of the following values for this data:
a.The sample mean
b.The sample median
c.The sample range
d.The standard deviation
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.

Cable TV subscriptions and 鈥渃ord cutters.鈥 Has the increasing popularity of smartphones and video streaming over the Internet affected cable and satellite TV subscriptions? This was one of the questions of interest in a recent Pew Research Center survey (December 2015). Telephone (both landline and cell phone) interviews were conducted on a representative sample of 2,001 adults living in the United States. For this sample, 1,521 adults reported that they currently receive cable or satellite TV service at home, 180 revealed that they have never subscribed to cable/satellite TV service at home, and the remainder (300 adults) admitted that they are 鈥渃ord cutters,鈥 i.e., they canceled the cable/satellite TV service. The results are summarized in the Minitab pie chart shown.
a. According to the pie chart, what proportion of the adults in the sample currently have a cable/satellite TV subscription at home? Verify the accuracy of this proportion using the survey results.
b. Now consider only the 1,821 adults in the sample that have at one time or another subscribed to cable/satellite TV service. Create a graph that compares the proportions of adults who currently subscribe to cable/satellite TV service with the proportion who are 鈥渃ord cutters.鈥
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