Review Exercises 83 a. What is the most frequent score? b. How many students scored less than 6? c. What percentage of students scored 10? d. Is the histogram more accurately described as unimodal or as bimodal? 6. House freshmen: Newly elected members of the U.S. House of Representatives are referred to as “freshmen.” The following frequency distribution presents the number of freshmen elected in each of the past 50 elections, from 1912 to 2010. Number of Freshmen Frequency 20 – 39 2 40 – 59 13 60 – 79 10 80 – 99 13 100 – 119 7 120 – 139 3 140 – 159 1 160 – 179 1 Source: Library of Congress a. How many classes are there? b. What is the class width? c. What are the class limits? d. Construct a frequency histogram. e. Construct a relative frequency distribution. f. Construct a relative frequency histogram. 7. More freshmen: For the data in Exercise 6: a. In what percentage of elections were 100 or more freshmen elected? b. In what percentage of elections were fewer than 60 freshmen elected? 8. Royalty: Following are the ages at death for all English and British monarchs since 1066. 59 40 67 58 56 28 41 49 65 68 43 64 33 46 35 49 40 12 32 52 55 15 42 69 58 48 54 67 51 49 67 76 81 67 71 81 68 70 77 56 a. Construct a frequency distribution with approximately eight classes. b. Construct a frequency histogram based on this frequency distribution. c. Construct a relative frequency distribution with approximately eight classes. d. Construct a relative frequency histogram based on this frequency distribution. 9. More royalty: Construct a stem-and-leaf plot for the data in Exercise 8. 10. Presidents: Following are the ages at deaths for all U.S. presidents. 67 83 90 73 85 68 78 80 53 65 71 79 56 77 64 74 66 49 63 57 70 67 58 71 60 57 67 72 60 63 46 90 78 88 64 81 93 93 a. Construct a frequency distribution with a class width of 5 and a lower limit of 45 for the first class. b. Construct a frequency histogram based on this frequency distribution. c. Construct a relative frequency distribution with a class width of 5 and a lower limit of 45 for the first class. d. Construct a relative frequency histogram based on this frequency distribution. 11. Royalty and presidents: For the data in Exercises 8 and 10: a. Construct a back-to-back stem-and-leaf plot. b. Construct a back-to-back stem-and-leaf plot with split stems. c. Which plot do you think is more appropriate for these data? 12. Dotplot: Construct a dotplot for the data in Exercise 10. 13. Music sales: In recent years, sales of digital music (downloads) have been increasing, while sales of physical units (CDs, cassettes, and others) have been declining. The following table presents the number of units sold (in millions) for both digital and physical music formats in each of the years 2004–2008.
navidi_monk_essential_statistics_1e_ch1_3
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