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# Integrated Math 2 Section 1-2

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Measures of Central Tendency and Range

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### Integrated Math 2 Section 1-2

1. 1. Section 1-2 Measures of Central Tendency
2. 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. 3. Vocabulary 1. Mean: 2. Median:
4. 4. Vocabulary 1. Mean: Add up all of the values, then divide by the number of values; 2. Median:
5. 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. 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. 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. 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. 9. Vocabulary 3. Mode: 4. Measures of Central Tendency: 5. Range:
10. 10. Vocabulary 3. Mode: The value that occurs the most in a set; 4. Measures of Central Tendency: 5. Range:
11. 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. 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. 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. 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. 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. 16. Finding Mean, Median, Mode, and Range
17. 17. Finding Mean, Median, Mode, and Range Can be done without calculator, but takes longer
18. 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. 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. 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. 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. 22. With a TI-84/TI-83
23. 23. With a TI-84/TI-83
24. 24. With a TI-84/TI-83
25. 25. With a TI-84/TI-83
26. 26. With a TI-84/TI-83
27. 27. With a TI-84/TI-83
28. 28. With a TI-84/TI-83
29. 29. With a TI-84/TI-83
30. 30. With a TI-84/TI-83
31. 31. With a TI-84/TI-83
32. 32. With a TI-84/TI-83
33. 33. With a TI-84/TI-83
34. 34. With a TI-84/TI-83
35. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 54. Problem Set
55. 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