A-42 ANSWERS 59. Answers will vary. The National Center for Health uses the median for averages in this exercise. 61. One example is 1, 1, 2, 5, 6. 63. One example is 81, 82, 83, 85, 86, 87. 65. One example: 1, 2, 3, 3, 4, 5 changed to 1, 2, 3, 4, 4, 5. 67. The data must be ranked. 69. He is taller than approximately 35 percent of all kindergarten children. 71. Second quartile, median 73. a) 39. a) 7 b) 16 c) 36 d) Number of Messages Number of People Number of Messages Number of People 3 2 7 3 4 3 8 8 5 7 9 6 6 4 10 3 e) 1 2 3 4 5 6 7 8 Number of People Number of E-mail Messages Sent Number of Messages 3 4 5 6 7 8 9 10 41. Tuition: $10,981 Room/board: $12,611 Books/supplies: $944 Other $4061 43. a) Answers will vary. b) Answers will vary. c) Answers will vary. d) Answers will vary. e) Answers will vary. 43. a) There are 6 F’s. b) Answers will vary. SECTION 12.3, PAGE 791 1. Average 3. Mean 5. Mode 7. Quartiles 9. a) x b) μ 11. 15 13. 18.5 15. 67 17. 8 19. 2 21. 5 and 15 23. 11.5 25. 205 27. Q Q Q 11, 36, 49 1 2 3 = = = 29. Q Q Q 327, 447.5, 602 1 2 3 = = = 31. 72, 73.5, 64, 71 33. a) 4.9, 5, 5, 6 b) 5.3, 5, 5, 6 c) Only the mean d) The mean and the midrange 35. a) $45,100 b) $36,500 c) $35,000 d) $61,500 e) The median because it is lower. f) The mean because is it higher. 37. a) 4.7 million b) 3.9 million c) 2.9 million and 4.7 million d) 7.9 million 39. a) $8.88 b) $8.25 c) no mode d) $9.87 41. 405 43. a) Yes b) No c) No d) Yes 45. 93 or greater 47. a) 25 or greater b) Yes, 95 or greater c) 17 or greater d) 77 or greater 49. $87.45 51. a) $230 b) $200 c) $280 53. a) $290 b) $160 c) $350 55. a) No b) Yes, Kendra was in better relative position. 57. a) $600 b) $610 c) 25% d) 25% e) 17% f) $62,000 Ruth Mantle 0.290 0.300 0.359 0.365 0.301 0.304 0.272 0.275 0.315 0.321 b) Mantle’s is greater in every case. c) Ruth: 0.316; Mantle: 0.311; Ruth’s is greater. d) Answers will vary. e) Ruth: 0.307; Mantle: 0.313; Mantle’s is greater. f) Answers will vary. g) Answers will vary. 75. 90 77. a) Answers will vary. b) Answers will vary. c) Answers will vary. 78. a) Answers will vary. One example is 2, 3, 5, 7, 7. b) Answers will vary. SECTION 12.4, PAGE 802 1. Variability 3. Standard deviation 5. Sample 7. 34 9. 270 11. 21 13. 16.5 4.06 ≈ 15. 4.67 2.16 ≈ 17. 15.2 3.90 ≈ 19. $349, 12,976 $113.91 ≈ 21. $190, 4725.25 $68.74 ≈ 23. a) $63, 631.6 $25.13 ≈ b) Answers will vary. c) Answers remain the same, range: $63, standard deviation ≈ $25.13. 25. a) Answers will vary. b) Answers will vary. c) Answers will vary. d) If each number in a set of data is multiplied by n, the mean and standard deviation of the new set of data will be n times that of the original set of data. e) 20, 10 27. a) Answers will vary. b) Answers will vary. 29. Answers will vary. 31. They would be the same, since the spread of data about each mean is the same. 33. a) The mean is the same for both classes. b) The spread of the data about the mean is greater for the evening class, since the standard deviation is greater for the evening class.
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