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Mean Absolute Deviation. Vocabulary. Deviation: The distance that two points are separated from each other. Deviation from the mean : How far the data point is from the mean. To find this distance, subtract the two values (the data point and the mean).

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Presentation Transcript
vocabulary
Vocabulary
  • Deviation: The distance that two points are separated from each other.
  • Deviation from the mean: How far the data point is from the mean. To find this distance, subtract the two values (the data point and the mean).
  • Mean absolute deviation (MAD): the average distance of all the data points from their mean. This will tell you how spread out your data is around the mean.
example 1
Example 1

Find the mean absolute deviation of the following test scores:

87, 94, 72, 65, 97, 77

87 94 72 65 97 77
87, 94, 72, 65, 97, 77

87

94

72

65

97

77

Step 1: Write the data in the first column of the table.

87 94 72 65 97 771
87, 94, 72, 65, 97, 77

87

94

72

65

97

+ 77

492 ÷ 6 = 82

87

94

72

65

97

77

82

82

82

82

82

82

Step 2: Calculate the mean of the data and write that in each cell of column 2.

87 94 72 65 97 772
87, 94, 72, 65, 97, 77

-5

-12

10

17

-15

5

87

94

72

65

97

77

82

82

82

82

82

82

82 – 87 = -5

82 – 94 = -12

82 – 72 = 10

82 – 65 = 17

82– 97 = -15

82 – 77 = 5

Step 3: Subtract column 1 from column 2 and write the difference in column 3.

87 94 72 65 97 773
87, 94, 72, 65, 97, 77

-5

-12

10

17

-15

5

5

12

10

17

15

5

87

94

72

65

97

77

82

82

82

82

82

82

Step 4: Rewrite all the numbers from column 3 as positive numbers in column 4 (Absolute Value).

87 94 72 65 97 774
87, 94, 72, 65, 97, 77

-5

-12

10

17

-15

5

64÷ 6

= 10.7

5

12

10

17

15

5

87

94

72

65

97

77

82

82

82

82

82

82

64

6

10.7

Step 5: Calculate the mean of the data in column 4, and you’re done! This is the MAD.

example 2
Example 2

Click here to

check your answer

Find the mean absolute deviation of the data. Round to the nearest tenth, if necessary.

87, 75, 85, 77, 74, 82