Chapter 1: Q 93. (page 75)
House prices The mean and median selling prices of existing single-family homes sold in September 2016 were \(276,200 and \)234,200. Which of these numbers is the mean and which is the median? Explain your reasoning.
Mean is $276,200 and median is $234,200.
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A smash or a hit Refer to Exercise 23.
(a) Find the distribution of responses about whether there was broken glass at the accident for each of the three treatment groups. Make a segmented bar graph to compare these distributions.
(b) Describe what the graph in part (a) reveals about the association between response about broken glass at the accident and treatment received for the subjects in the study.
Do adolescent girls eat fruit? We all know that fruit is good for us. Here is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls in a study in Pennsylvania:
(a) Find the median number of servings of fruit per day from the histogram. Explain your method clearly.
(b) Calculate the mean of the distribution. Show your work.
I’d die without my phone! In a survey of over 2000 U.S. teenagers by Harris Interactive, 47% said that “their social life would end or be worsened without their cell phone.” 46 One survey question asked the teens how important it is for their phone to have certain features. The following figure displays data on the percent who indicated Page Number: 83 Page Number: 84 that a particular feature is vital.
Part (a). Explain how the graph gives a misleading impression.
Part (b). Would it be appropriate to make a pie chart to display these data? Why or why not?
Strong paper towels In commercials for Bounty paper towels, the manufacturer claims that they are the “quicker picker-upper,” but are they also the stronger picker-upper? Two of Mr. Tabor’s statistics students, Wesley and Maverick, decided to find out. They selected a random sample of 30 Bounty paper towels and a random sample of 30 generic paper towels and measured their strength when wet. To do this, they uniformly soaked each paper towel with 4 ounces of water, held two opposite edges of the paper towel, and counted how many quarters each paper towel could hold until ripping, alternating brands. The data are displayed in the relative frequency histograms. Compare the distributions
Part (a). Would it be appropriate to use frequency histograms instead of relative frequency histograms in this setting? Explain why or why not.
Part (b). Compare the distributions of number of quarters until breaking for the two paper towel brands
The following bar graph shows the distribution of favorite subject for a sample of 1000 students. What is the most serious problem with the graph?
(a) The subjects are not listed in the correct order.
(b) This distribution should be displayed with a pie chart.
(c) The vertical axis should show the percent of students.
(d) The vertical axis should start at 0 rather than 100.
(e) The foreign language bar should be broken up by language.
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