Successfully reported this slideshow.

Integrated Math 2 Section 1-2

1,839 views

Published on

Measures of Central Tendency and Range

Published in: Education, Technology
  • Be the first to comment

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

×