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Section 3-2

Chapter 3 Data Description. Section 3-2. Measures of Central Tendency. Chapter 3 Data Description. Section 3-2. Exercise #3. 1, 2, 3, 3, 7, 11, 18, 30, 61. MD:. MD: 7. MD: 1, 2, 3, 3, 7, 11, 18, 30, 61. Chapter 3 Data Description. Section 3-2. Exercise #5.

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Section 3-2

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  1. Chapter 3 Data Description Section 3-2 Measures of Central Tendency

  2. Chapter 3 Data Description Section 3-2 Exercise #3

  3. 1, 2, 3, 3, 7, 11, 18, 30, 61 MD: MD: 7

  4. MD: 1, 2, 3, 3, 7, 11, 18, 30, 61

  5. Chapter 3 Data Description Section 3-2 Exercise #5

  6. Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.

  7. (a)

  8. median (b) Arrange data in increasing order: 75 88 117 136 189 229 239 372 465 574 663 1202

  9. (b) Arrange data in increasing order:

  10. (c) No data are repeated. No mode.

  11. (d) Arrange data in increasing order.

  12. (d) Arrange data in increasing order.

  13. It seems that the average number of identity thefts is higher than 300.

  14. Chapter 3 Data Description Section 3-2 Exercise #17

  15. Class Boundaries Frequency 52.5-63.5 6 63.5-74.5 12 74.5-85.5 25 85.5-96.5 18 96.5-107.5 14 107.5-118.5 5

  16. 58 6 348 69 12 828 80 25 2000 91 18 1638 102 14 1428 113 5 565 80 6807 Boundaries 52.5 – 63.5 63.5 – 74.5 74.5 – 85.5 85.5 – 96.5 96.5 – 107.5 107.5 – 118.5

  17. modal class: 74.5 – 85.5

  18. Chapter 3 Data Description Section 3-2 Exercise #19

  19. Class Limits Frequency 13-19 2 20-26 7 27-33 12 34-40 5 41-47 6 48-54 1 55-61 0 62-68 2 Find the (a) mean and (b) modal class.

  20. Class Xm f f • Xm Boundaries limits 12.5 – 19.5 13 – 19 16 2 32 23 7 161 19.5 – 26.5 20 – 26 30 12 360 27 – 33 26.5 – 33.5 37 5 185 33.5 – 40.5 34 – 40 44 6 264 41 – 47 40.5 – 47.5 51 1 51 58 0 0 48 – 54 47.5 – 54.5 65 2 130 55 – 61 54.5 – 61.5 62 – 68 61.5 – 68.5 35 1183

  21. Find the (a) mean and (b) modal class. modal class: 26.5 – 33.5

  22. Chapter 3 Data Description Section 3-3 Exercise #7

  23. Find the range. range = 48 – 0 = 48

  24. n = 10

  25. range = 48 s2 = 254.7 s = 16 By any of these measures, it can be said that the data can vary.

  26. Chapter 3 Data Description Section 3-3 Exercise #21

  27. Number f 27-90 13 91-154 2 155-218 0 219-282 5 283-346 0 347-410 2 411-474 0 475-539 1 539-602 2

  28. f Class 44,489.25 58.5 13 760.5 27-90 30,012.5 245 122.5 2 91-154 0 155-218 186.5 0 0 250.5 5 1252.5 219-282 313,751.25 283-346 314.5 0 0 0 347-410 378.5 2 757 286,524.5 411-474 442.5 0 0 0 1 506.5 256,542.25 475-538 506.5 650,940.5 1141 2 539-602 570.5

  29. Chapter 3 Data Description Section 3-3 Exercise #33

  30. Chapter 3 Data Description Section 3-3 Exercise #41

  31. 34% 34% 16% 16% 26.8 22.6 31

  32. Chapter 3 Data Description Section 3-4 Exercise #13

  33. Chapter 3 Data Description Section 3-4 Exercise #22

  34. For 78, For 82, For 86,

  35. For 88, For 92, For 97,

  36. Chapter 3 Data Description Section 3-4 Exercise #23

  37. Therefore, the answer is the 2nd in the series, or 82.

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