Chap002 - CHAPTER 2 DESCRIBING DATA FREQUENCY DISTRIBUTIONS...

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C HAPTER 2 D ESCRIBING D ATA : F REQUENCY D ISTRIBUTIONS AND G RAPHIC P RESENTATION 1. 5 6 2 32, 2 64 = = therefore 6 classes 2. 2 5 = 32, 2 6 = 64 suggests 6 classes. $29 $0 4.47 6 i - = Use interval of 5. 3. 2 7 = 128, 2 8 = 256 suggests 8 classes 567 235 41.5 8 i - = Use interval of 45. . 4. a. 2 5 = 32, 2 6 = 64 suggests 6 classes. b. 129 42 14 6 i - = Use interval of 15 and start first class at 40. 5. a. 2 4 =16 suggests 5 classes b. 31 25 1.2 5 - = i Use interval of 1.5 c. 24 d. f Relative frequency 24 up to 25.5 2 0.125 25.5 up to 27 4 0.250 27 up to 28.5 8 0.500 28.5 up to 30 0 0.000 30 up to 31.5 2 0.125 Total 16 1.000 e. The largest concentration is in the 27 up to 28.5 class (8). 6. a. 2 4 = 16, 2 5 = 32, suggest 5 classes b. 98 51 9 5 i - = Use interval of 10. c. 50 d. f Relative frequency 50 up to 60 4 0.20 60 up to 70 5 0.25 70 up to 80 6 0.30 80 up to 90 2 0.10 90 up to 100 3 0.15 Total 20 1.00 e. The smallest number is about 50, the highest about 100. The greatest concentration is in classes 60 up to 70 and 70 up to 80. Chapter 2 8
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Visits f 7. a. 0 up to 3 9 3 up to 6 21 6 up to 9 13 9 up to 12 4 12 up to 15 3 15 up to 18 1 Total 51 b. The largest group of shoppers (21) shop at BiLo 3, 4 or 5 times during a one month period. Some customers visit the store only 1 time during the one month, but others shop as many as 15 times. c. Number of Percent of Visits Total 0 up to 3 17.65 3 up to 6 41.18 6 up to 9 25.49 9 up to 12 7.84 12 up to 15 5.88 15 up to 18 1.96 Total 100.00 8. a. An interval of 10 is more convenient to work with. The distribution using 10 is: f 15 up to 25 1 25 up to 35 2 35 up to 45 5 45 up to 55 10 55 up to 65 15 65 up to 75 4 75 up to 85 3 Total 40 b. Data tends to cluster in classes 45 up to 55 and 55 up to 65. c. Based on the distribution, the least amount spent is 15 (actually 18 from the raw data). The most spent was less than 85. The largest concentration of amount is between 45 up to 65. d. Amt. Spent Percent of Total 15 up to 25 2.5 25 up to 35 5.0 35 up to 45 12.5 45 up to 55 25.0 55 up to 65 37.5 65 up to 75 10.0 75 up to 85 7.5 Total 100.0 Chapter 2 9
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5 12 23 8 2 0 5 10 15 20 25 0 1.5 4.5 7.5 10.5 13.5 16.5 9. a. Histogram b. 100 c. 5 d. 28 e. 0.28 f. 12.5 g. 13 10. a. 3 b. about 26 c. approximately 90 d. 2 e. frequency polygon 11. a. 50 b. 1.5 thousand miles or 1500 miles c. d. X = 1.5, Y = 5 e. f. For the 50 employees about half traveled between 6 and 9 thousand frequent flier miles. Five earn less than 3 thousand frequent flier miles, and two earn more than 12 thousand frequent flier miles. Chapter 2 10 0 5 10 15 20 25 -1.5 4.5 7.5 10.5 13.5 16.5 Frequent Flier Miles
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12. a. 40 b. 2.5 c. 2.5, 6 assuming we plan to draw a frequency polygon using the midpoints d. e.
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Chap002 - CHAPTER 2 DESCRIBING DATA FREQUENCY DISTRIBUTIONS...

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