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8 8 6 11 11 9 8 5 11 4 8 5 14 7 12 8 6 11 9 7 9 15 8 8 12 5 9 8 5 9 10 11 3 9 8 6 128 56 54 91 190 23 160 298 445 50 578 494 37 677 18 74 70 868 108 71 466 23 84 38 26 814 17
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Describing Data Graphic: Frequency Distributions and Graphic Presentation 47 50 60 70 80 90 100 25 20 15 10 5 0 Score Frequency 3 14 21 12 6 34. The Journal of Finance made its content available on the Internet starting in July of 2005. The table below shows the number of times a monthly version was downloaded and the number of articles that were viewed during each month. Suppose you wish to make a frequency distribution of the number of downloads. 312 2,753 2,595 6,057 7,624 6,624 6,362 6,575 7,760 7,085 7,272 5,967 5,256 6,160 6,238 6,709 7,193 5,631 6,490 6,682 7,829 7,091 6,871 6,230 7,253 5,507 5,676 6,974 6,915 4,999 5,689 6,143 7,086 a. How many classes would you propose? b. What class interval would you suggest? c. What quantity would you use for the lower limit of the initial class? d. Using your responses to parts (a), (b), and (c), create a frequency distribution. e. Identify the appearance of the frequency distribution. 35. The following histogram shows the scores on the first exam for a statistics class. a. How many students took the exam? b. What is the class interval? c. What is the class midpoint for the first class? d. How many students earned a score of less than 70? 36. The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area. a. What is the chart called? b. How many homes were sold during the last month? c. What is the class interval? d. About 75 percent of the houses sold for less than what amount? e. One hundred seventy-five of the homes sold for less than what amount? 37. A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of cash register receipts revealed these initial purchases: 100 75 50 25 250 200 150 100 50 0 50 100 150 Selling Price ($000) 200 250 300 350 Frequency Percent
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48 Chapter 2 a. Arrive at a suggested class interval. Use six classes, and let the lower limit of the first class be $70. b. What would be a better class interval? c. Organize the data into a frequency distribution using a lower limit of $80. d. Interpret your findings. 38. Following is the number of shareholders for a selected group of large companies (in thousands): $140 $ 82 $265 $168 $ 90 $114 $172 $230 $142 86 125 235 212 171 149 156 162 118 139 149 132 105 162 126 216 195 127 161 135 172 220 229 129 87 128 126 175 127 149 126 121 118 172 126 Number of Number of Shareholders Shareholders Company (thousands) Company (thousands) Southwest Airlines 144 Standard Oil (Indiana) 173 General Public Utilities 177 Home Depot 195 Occidental Petroleum 266 Detroit Edison 220 Middle South Utilities 133 Eastman Kodak 251 DaimlerChrysler 209 Dow Chemical 137 Standard Oil of California 264 Pennsylvania Power 150 Bethlehem Steel 160 American Electric Power 262 Long Island Lighting 143 Ohio Edison 158 RCA 246 Transamerica Corporation 162 Greyhound Corporation 151 Columbia Gas System 165 Pacific Gas & Electric 239 International Telephone & Niagara Mohawk Power 204 Telegraph 223 E. I. du Pont de Nemours
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