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What is the mean absolute deviation of the data set?2, 2, 5, 6, 8, 4, 8, 51.752.255.158.00

1 Answer

3 votes

First, find the mean.

Add all values and divide by the number of values:

(2 + 2 + 5 + 6 + 8 + 4 + 8 + 5 ) / 8 = 40/8 = 5

Calculate the positive distance of each value to the mean.

5 - 2 = 3

5 - 2 = 3

5 - 5 = 0

6 - 5 = 1

8 - 5 = 3

5-4= 1

8-5= 3

5 - 5 = 0

Sum all results and divide by the number of values

( 3 +3 + 0 + 1 +3 +1 +3 + 0) /8 = 14/8 = 1.75

MAD = 1.75

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