Chapter 1: Q 106. (page 77)
Healthy fast food? Refer to Exercise 102. Find the interquartile range of the fat content distribution shown in the dotplot.
Short Answer
12 grams is the resultant answer of interquartile range.
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Chapter 1: Q 106. (page 77)
Healthy fast food? Refer to Exercise 102. Find the interquartile range of the fat content distribution shown in the dotplot.
12 grams is the resultant answer of interquartile range.
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Which major? About 3 million first-year students enroll in colleges and universities each year. What do they plan to study? The pie chart displays data on the percent of first-year students who plan to major in several disciplines. About what percent of first-year students plan to major in business? In social science?

Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. Should you use a bar graph or a histogram to display the data?
Superpower Refer to Exercise 24.
(a) Find the distribution of superpower preference for the students in the sample from each country (i.e., the United States and the United Kingdom). Make a segmented bar graph to compare these distributions.
(b) Describe what the graph in part (a) reveals about the association between country of origin and superpower preference for the students in the sample.
Simpson’s paradoxAccident victims are sometimes taken by helicopter from the accident scene to a hospital. Helicopters save time. Do they also save lives? The two-way table summarizes data from a sample of patients who were transported to the hospital by helicopter or by ambulance.

(a) What percent of patients died with each method of transport? Here are the same data broken down by severity of accident:

(b) Calculate the percent of patients who died with each method of transport for the serious accidents. Then calculate the percent of patients who died with each method of transport for the less serious accidents. What do you notice?
(c) See if you can explain how the result in part (a) is possible given the result in part (b).
Note: This is an example of Simpson’s paradox, which states that an association between two variables that holds for each value of a third variable can be changed or even reversed when the data for all values of the third variable are combined.
Value of a diploma Do students who graduate from high school earn more money than students who do not? To find out, we took a random sample of 371 U.S. residents aged 18 and older. The educational level and total personal income of each person were recorded. The data for the 57 non-graduates (No) and the 314 graduates (Yes) are displayed in the relative frequency histograms.

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 total personal income for the two groups.
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