2 Review Exercises 116 CHAPTER 2 Descriptive Statistics Section 2.1 In Exercises 1 and 2, use the data set, which represents the overall average class sizes for 20 national universities. (Adapted from Public University Honors) 37 34 42 44 39 40 41 51 49 31 52 26 31 40 30 27 36 43 48 35 1. Construct a frequency distribution for the data set using five classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies. 2. Construct a relative frequency histogram using the frequency distribution in Exercise 1. Then determine which class has the greatest relative frequency and which has the least relative frequency. In Exercises 3 and 4, use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 25 twelve-ounce cans. 3. Construct a frequency histogram for the data set using seven classes. 4. Construct a relative frequency histogram for the data set using seven classes. In Exercises 5 and 6, use the data set, which represents the number of rooms reserved during one night’s business at a sample of hotels. 153 104 118 166 89 104 100 79 93 96 116 94 140 84 81 96 108 111 87 126 101 111 122 108 126 93 108 87 103 95 129 93 124 5. Construct a frequency distribution for the data set with six classes and draw a frequency polygon. 6. Construct an ogive for the data set using six classes. Section 2.2 In Exercises 7 and 8, use the data set shown in the table at the left, which represents the pollution indices (a unitless measure of pollution ranging from 0 to 100) for 24 U.S. cities. (Adapted from Numbeo) 7. Use a stem-and-leaf plot to display the data set. Describe any patterns. 8. Use a dot plot to display the data set. Describe any patterns. In Exercises 9 and 10, use the data set, which represents the results of a survey that asked U.S. full-time university and college students about their activities and time use on an average weekday. (Source: Bureau of Labor Statistics) Response Sleeping Leisure and Sports Working Educational Activities Other Time (in hours) 8.8 4.0 2.3 3.5 5.4 9. Use a pie chart to display the data set. Describe any patterns. 10. Use a Pareto chart to display the data set. Describe any patterns. Volumes (in ounces) 11.95 11.91 11.86 11.94 12.00 11.93 12.00 11.94 12.10 11.95 11.99 11.94 11.89 12.01 11.99 11.94 11.92 11.98 11.88 11.94 11.98 11.92 11.95 11.93 12.04 TABLE FOR EXERCISES 3 AND 4 Pollution indices 52 63 31 27 30 45 25 50 45 43 36 42 47 30 32 23 39 31 45 29 44 20 37 39 TABLE FOR EXERCISES 7 AND 8
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