Section 2.3 More Graphs for Quantitative Data 71 14. List the data in the following stem-and-leaf plot. The leaf represents the tenths digit. 14 4 6 8 9 15 1 2 2 4 5 7 7 8 16 0 1 1 1 2 3 7 7 9 17 18 2 3 8 15. Construct a dotplot for the data in Exercise 11. 16. Construct a dotplot for the data in Exercise 12. Working with the Concepts 17. BMW prices: The following table presents the manufacturer’s suggested retail price (in $1000s) for 2008 base models and styles of BMW automobiles. 28.8 52.0 34.5 49.5 53.8 46.2 50.4 34.9 58.8 36.4 76.6 56.5 54.8 52.4 33.1 54.4 35.6 83.7 64.95 52.5 39.1 32.7 37.4 76.8 83.9 63.0 44.6 34.6 41.2 79.9 100.3 36.7 46.8 39.3 43.0 124.1 106.1 42.7 49.8 41.2 43.5 115.0 38.6 40.7 Source: www.edmunds.com a. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 2 through 12 as the stems. b. Repeat part (a), but split the stems, using two lines for each stem. c. Which stem-and-leaf plot do you think is more appropriate for these data, the one in part (a) or the one in part (b)? Why? 18. How’s the weather? The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February, 2010. 54 43 45 42 42 47 54 38 39 42 50 51 54 58 68 57 63 71 69 73 59 48 47 71 58 56 58 68 60 46 44 59 50 63 47 49 49 51 58 52 45 50 41 43 59 50 48 52 60 67 70 72 63 60 46 49 56 58 63 a. Construct a stem-and-leaf plot, using the digits 3, 4, 5, 6, and 7 as the stems. b. Repeat part (a), but split the stems, using two lines for each stem. c. Which stem-and-leaf plot do you think is more appropriate for these data, the one in part (a) or the one in part (b)? Why? 19. Air pollution: The following table presents amounts of particulate emissions for 65 vehicles. These data also appear in Table 2.15. 1.5 0.9 1.1 1.3 3.5 1.1 1.1 0.9 1.3 0.9 0.6 1.3 2.5 1.5 1.1 1.1 2.2 0.9 1.8 1.5 1.2 1.6 2.1 6.6 4.0 2.5 1.4 1.4 1.8 1.1 1.6 3.7 0.6 2.7 2.6 3.0 1.2 1.0 1.6 3.1 2.4 2.1 2.7 1.2 3.3 3.8 1.3 2.1 6.6 1.2 3.1 0.5 0.3 0.5 3.4 3.5 2.7 1.9 5.9 4.2 3.5 3.6 3.1 3.3 4.6 a. Construct a split stem-and-leaf plot in which each stem appears twice, once for leaves 0–4 and again for leaves 5–9. b. Compare the split stem-and-leaf plot to the plot in Figure 2.13. Comment on the advantages and disadvantages of the split stem-and-leaf plot for these data. 20. Technology salaries: The following table presents the annual salaries for the employees of a small technology firm. Round each number to the nearest thousand, and then construct a stem-and-leaf plot. 91,808 118,625 131,092 60,763 36,463 37,187 45,870 50,594 98,302 123,973 182,255 59,186 44,889 164,861 71,082 69,695 28,098 157,110 50,461 98,132 49,742 25,339 24,164 107,878 136,690 129,514 99,254 57,468 21. Tennis and golf: Following are the ages of the winners of the men’s Wimbledon tennis championship and the Master’s golf championship for the years 1968 through 2010. Ages ofWimbledonWinners 29 30 26 27 25 27 21 31 20 21 22 23 24 22 29 24 25 17 18 22 22 21 24 22 22 21 22 23 26 25 26 27 28 31 21 21 22 23 24 25 22 27 24 Ages of Master’s Winners 39 29 38 33 32 36 38 35 33 27 42 27 23 31 28 26 32 27 46 28 30 31 32 33 32 35 28 43 38 23 41 33 37 25 26 32 31 29 33 31 28 39 39 a. Construct back-to-back split stem-and-leaf plots for these data sets. b. How do the ages of Wimbledon champions differ from the ages of Master’s champions? 22. Pass the popcorn: Following are the running times (in minutes) for the 15 top-grossing movies rated PG or PG-13, and the 15 top-grossing movies rated R, for the weekend of April 2–4, 2010. Movies Rated PG or PG-13 Clash of the Titans (2010) 110 Tyler Perry’s Why Did I Get Married Too? 121 How to Train Your Dragon 90 The Last Song 108 Alice in Wonderland (2010) 108 The Bounty Hunter 106 Diary of a Wimpy Kid 91 The Ghost Writer 128 Avatar 162 Our Family Wedding 90 Remember Me 113 Percy Jackson & The Olympians: The Lightning Thief 120 The Blind Side 120 Tooth Fairy 102 Sherlock Holmes 129 Source: Box Office Mojo
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