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Measures of Central Tendency and Range

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- 1. Section 1-2 Measures of Central Tendency
- 2. Essential Questions How do you calculate the mean, median, and mode of a set? How do you ﬁnd the range of a set? Where you’! see this: Statistics, sports, measurement, education
- 3. Vocabulary 1. Mean: 2. Median:
- 4. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; 2. Median:
- 5. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; Also known as the average; 2. Median:
- 6. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; Also known as the average; Provides best results when there are no extreme values 2. Median:
- 7. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; Also known as the average; Provides best results when there are no extreme values 2. Median: The value that appears in the middle of a set of data when arranged in order;
- 8. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; Also known as the average; Provides best results when there are no extreme values 2. Median: The value that appears in the middle of a set of data when arranged in order; If the median falls between two values, average those two values
- 9. Vocabulary 3. Mode: 4. Measures of Central Tendency: 5. Range:
- 10. Vocabulary 3. Mode: The value that occurs the most in a set; 4. Measures of Central Tendency: 5. Range:
- 11. Vocabulary 3. Mode: The value that occurs the most in a set; There can be one, more than one, or none 4. Measures of Central Tendency: 5. Range:
- 12. Vocabulary 3. Mode: The value that occurs the most in a set; There can be one, more than one, or none 4. Measures of Central Tendency: Represent the central value of a set; 5. Range:
- 13. Vocabulary 3. Mode: The value that occurs the most in a set; There can be one, more than one, or none 4. Measures of Central Tendency: Represent the central value of a set; Mean, median, and mode; 5. Range:
- 14. Vocabulary 3. Mode: The value that occurs the most in a set; There can be one, more than one, or none 4. Measures of Central Tendency: Represent the central value of a set; Mean, median, and mode; Shows the typical characteristics of the set 5. Range:
- 15. Vocabulary 3. Mode: The value that occurs the most in a set; There can be one, more than one, or none 4. Measures of Central Tendency: Represent the central value of a set; Mean, median, and mode; Shows the typical characteristics of the set 5. Range: The diﬀerence between the highest and lowest values of a set
- 16. Finding Mean, Median, Mode, and Range
- 17. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer
- 18. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer Mean: Add up all values, then divide by # of values
- 19. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer Mean: Add up all values, then divide by # of values Median: Arrange in order, ﬁnd middle value (average two values if between them: even # of values)
- 20. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer Mean: Add up all values, then divide by # of values Median: Arrange in order, ﬁnd middle value (average two values if between them: even # of values) Mode: Find which shows up most
- 21. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer Mean: Add up all values, then divide by # of values Median: Arrange in order, ﬁnd middle value (average two values if between them: even # of values) Mode: Find which shows up most Range: Highest minus lowest
- 22. With a TI-84/TI-83
- 23. With a TI-84/TI-83
- 24. With a TI-84/TI-83
- 25. With a TI-84/TI-83
- 26. With a TI-84/TI-83
- 27. With a TI-84/TI-83
- 28. With a TI-84/TI-83
- 29. With a TI-84/TI-83
- 30. With a TI-84/TI-83
- 31. With a TI-84/TI-83
- 32. With a TI-84/TI-83
- 33. With a TI-84/TI-83
- 34. With a TI-84/TI-83
- 35. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data.
- 36. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean
- 37. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean $13,685
- 38. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median $13,685
- 39. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median $13,685 $13,715
- 40. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median Mode $13,685 $13,715
- 41. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median Mode $13,685 $13,715 None
- 42. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median Mode Range $13,685 $13,715 None
- 43. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. a. Determine the measures of central tendency and range for the data. Mean Median Mode Range $13,685 $13,715 None $3,020
- 44. Example 1 The annual tuition fees at 6 colleges are $12,560, $14,300, $13,750, $12,400, $13,680, $15,420. b. Which measure of central tendency is the best indicator of the typical annual tuition fee for these colleges? Why? Mean Median Mode Range $13,685 $13,715 None $3,020
- 45. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74
- 46. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean
- 47. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean 72.5
- 48. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median 72.5
- 49. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median 72.5 75.5
- 50. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median Mode 72.5 75.5
- 51. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median Mode 72.5 75.5 77
- 52. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median Mode Range 72.5 75.5 77
- 53. Example 2 Find the measures of central tendency for the following scores: 77 58 77 91 68 63 69 86 85 45 77 74 Mean Median Mode Range 72.5 75.5 77 46
- 54. Problem Set
- 55. Problem Set p. 12 #1-24 “If you can ﬁnd a path with no obstacles, it probably doesn’t lead anywhere.” - Frank A. Clark

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