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Chapter 1: Q 107. (page 77)
File sizes Refer to Exercises 101 and 105. Identify any outliers in the distribution. Show your work.
There are no outliers.
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Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student’s country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table.
(a) What proportion of students in the sample are from the United States?
(b) Find the distribution of superpower preference for the students in the sample using relative frequencies.
(c) What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
For which of the following would it be inappropriate to display the data with a single pie chart?
(a) The distribution of car colors for vehicles purchased in the last month
(b) The distribution of unemployment percentages for each of the 50 states
(c) The distribution of favorite sport for a sample of 30 middle school students (d) The distribution of shoe type worn by shoppers at a local mall
(e) The distribution of presidential candidate preferences for voters in a state
Who goes to movies?The bar graph displays data on the percent of people in several age groups who attended a movie in the past 12 months.
(a) Describe what the graph reveals about the relationship between age group and movie attendance.
(b) Would it be appropriate to make a pie chart of the data? Explain.
Risks of playing soccer (1.1) A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties:
Part (a). What percent of the people in this study were elite soccer players? What percent of the people in this study developed arthritis?
Part (b). What percent of the elite soccer players developed arthritis? What percent of those who got arthritis were elite soccer players?
Part (c). Researchers suspected that the more serious soccer players were more likely to develop arthritis later in life. Do the data confirm this suspicion? Calculate appropriate percentages to support your answer.
Popular car colors Favorite car colors may differ among countries. The side-by-side bar graph displays data on the most popular car colors in a recent year for North America and Asia. Write a few sentences comparing the distributions.
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