1. 5 Minute Check-On your homework The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences.

2. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range Q1 Q3 IQR Outlier

3. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 78 Q1 Q3 IQR Outlier

4. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 78 Q1 68 Q3 IQR Outlier

5. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 78 Q1 68 Q3 113 IQR Outlier

6. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 78 Q1 68 Q3 113 IQR 45 Outlier

7. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 78 Q1 68 Q3 113 IQR 45 Outliernone

8. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 7847 Q1 68 Q3 113 IQR 45 Outliernone

9. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 7847 Q1 6876 Q3 113 IQR 45 Outliernone

10. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 7847 Q1 6876 Q3 11394 IQR 45 Outliernone

11. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. NFCAFC Range 7847 Q1 6876 Q3 11394 IQR 4518 Outliernone

12. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. Compare and contrast? NFCAFC Range 7847 Q1 6876 Q3 11394 IQR 4518 Outliernone

13. 5 Minute Check The table show the top teams in the NFC and AFC. Compare and contrast the measures of variation of the two conferences. The NFC has a much greater range of penalties. NFCAFC Range 7847 Q1 6876 Q3 11394 IQR 4518 Outliernone

14. Wednesday, March 25 Chapter 6.11.4 Mean Absolute Deviation

15. Objective: To find and interpret the mean absolute deviation for a data set.

16. Mean Absolute Deviation The mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.

17. Mean Absolute Deviation The mean absolute deviation of a data set is the average distance between each data value and the mean. The mean absolute deviation is another measure of center.

18. Mean Absolute Deviation

19. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. (3, 6, 6, 7, 8, 11, 15, 16) Mean Absolute Deviation Step 1 – Find the mean.

20. Mean Absolute Deviation

23. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. (3, 6, 6, 7, 8, 11, 15, 16)

24. Mean Absolute Deviation

26. In a few years you will be using the formula below to find the Mean Absolute Deviation.

27. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Step 1 – ?

28. Mean Absolute Deviation

29. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. I58-64I=6I88-64I=24 I40-64I=24I60-64I=4 I72-64I=8I66-64I=2 I80-64I=16I48-64I=16 Step 3 – ?

30. Mean Absolute Deviation

32. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. What is the mean?

33. Mean Absolute Deviation

35. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. I88-78.6I=9.4I77-78.6I=1.6 I65-78.6I=13.6I70-78.6I=8.6 I65-78.6I=13.6I72-78.6I=6.6 I95-78.6I=16.4I80-78.6I=1.4 I106-78.6I=27.4I68-78.6I=10.6 What is the mean absolute deviation?

36. Mean Absolute Deviation

38. Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 How many data values are closer than one mean absolute deviation away from the mean?

39. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 78.6+10.92=89.52 78.6-10.92=67.68 How many data values are closer than one mean absolute deviation away from the mean? 6

40. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 Which data value is farthest from the mean?

41. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 I78.6-65I =13.6 I78.6-106I=27.4 Which data value is farthest from the mean? 106

42. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 Are there any data values that are more than twice the mean absolute deviation from the mean?

43. Mean Absolute Deviation Find the mean absolute deviation of a data set and describe what the mean absolute deviation represents. Mean – 78.6 Mean Absolute Deviation-1 0.92 78.6+21.84=100.44 78.6-21.84=56.76 Are there any data values that are more than twice the mean absolute deviation from the mean? One, 106

44. Mean Absolute Deviation You can compare the mean absolute deviation of two data sets.

45. Mean Absolute Deviation The top five and the bottom five salaries for the 2010 NY Yankees are shown. Salaries are in millions of dollars and are rounded to the nearest hundredth. Find the mean absolute deviation for each set. Round to the nearest hundredth. What is the mean for the top salaries?

46. Mean Absolute Deviation

47. The top five and the bottom five salaries for the 2010 NY Yankees are shown. Salaries are in millions of dollars and are rounded to the nearest hundredth. Find the mean absolute deviation for each set. Round to the nearest hundredth. I33-23.4I=9.6I24.29-23.4I=.89 I22.6-23.4I=.8 I20.63-23.4I=2.77I16.5-23.4I=6.9 What is the mean absolute deviation?

48. Mean Absolute Deviation

49. The top five and the bottom five salaries for the 2010 NY Yankees are shown. Salaries are in millions of dollars and are rounded to the nearest hundredth. Find the mean absolute deviation for each set. Round to the nearest hundredth. What is the mean for the bottom salaries?

50. Mean Absolute Deviation

51. The top five and the bottom five salaries for the 2010 NY Yankees are shown. Salaries are in millions of dollars and are rounded to the nearest hundredth. Find the mean absolute deviation for each set. Round to the nearest hundredth. I.45-0.43I=.02I.44-0.43I=.01 I.43-0.43I=.0 I.41-0.43I=.02I.41-0.43I=.02 What is the mean absolute deviation?

52. Mean Absolute Deviation

53. The table shows the temperature at two different times for six days. Find the mean absolute deviation for each set. Round to the nearest hundredth. Do this on your own.

54. Mean Absolute Deviation

56. The table shows the temperature at two different times for six days. Find the mean absolute deviation for each set. Round to the nearest hundredth. 10AM = 3° 2PM = 5.33° What does this mean?

57. Mean Absolute Deviation The table shows the temperature at two different times for six days. Find the mean absolute deviation for each set. Round to the nearest hundredth. 10AM - 3° 2PM - 5.33° The mean absolute deviation for the 10AM data is less than that of the 2PM data. The morning temperatures are closer together than the afternoon temperatures.

58. Mean Absolute Deviation The table shows the running time in minutes for two kinds of movies. Find the mean absolute deviation for each set then explain. Round to the nearest hundredth.

59. Mean Absolute Deviation

61. The table shows the running time in minutes for two kinds of movies. Find the mean absolute deviation for each set then explain. Round to the nearest hundredth. Comedy = 4.16 minutes Drama = 12.24 minutes What does this mean?

62. Mean Absolute Deviation The table shows the running time in minutes for two kinds of movies. Find the mean absolute deviation for each set then explain. Round to the nearest hundredth. Comedy = 4.16 minutes Drama = 12.24 minutes The running times for comedies are closer together.

63. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? A. A player could have scored19 points. B. The mean number of points scored is greater than 12 points. C. If the greatest number of points scored is 16, then he least number of points scored is 4. D. At least one player scored 12 points

64. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? A. A player could have scored19 points.

65. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? A. A player could have scored19 points. True. Since the median is 12 and the range is 7, all scores must be less than or equal to 19 or greater than of equal to 5. A possible data set could be: 12, 12, 12, 12, 12, 13, 14, 15, 19

66. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? B. The mean number of points scored is greater than 12 points.

67. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? B. The mean number of points scored is greater than 12 points. False. We do not have enough information to determine what the mean is.

68. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? C. If the greatest number of points scored is 16, then he least number of points scored is 4.

69. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? C. If the greatest number of points scored is 16, then he least number of points scored is 4. False. Since the range is 7, if the greatest points scored is 16, the least would be 16 – 7, or 9.

70. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? D. At least one player scored 12 points.

71. PARCC 2 2. The median number of points scores by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? D. At least one player scored 12 points. True. Since there is an odd number of scores (9), the median will be an actual score (not average). That indicates at least one score was 12.

72. PARCC 8 8. During a sale, all pillows are ¼ off the regular price. Which expression shows the amount of money saved on a pillow that had a regular price of d dollars? A. d ÷ 4 B. d x 4 C. d + 4 D. d - 4

73. PARCC 8 8. During a sale, all pillows are ¼ off the regular price. Which expression shows the amount of money saved on a pillow that had a regular price of d dollars? A. d ÷ 4 B. d x 4 C. d + 4 D. d - 4

74. Mean Absolute Deviation Agenda Notes Homework– Homework Practice 6.11.4 Due Thursday, March 26 Chapter 6.11 Test Friday, March 27