Question

What is the mean absolute deviation of the data set?

12, 15, 7, 4, 9, 10, 9, 6


1.5

2.5

4.3

9.0

Answer 1

The correct answer is:

B.(2.5)

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Answer 2

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Explanation:

Here is an example:

Find the MAD of 2,4,6,8 Step 1 : Find the mean of the data : (2+4+6+8) / 4 = 20/5 = 4 Step 2 : Find the distance between each data and mean. Distance between 2 and 5 is 3 Distance between 4 and 5 is 1 Distance between 6 and 5 is 1 Distance between 8 and 5 is 3

Step 3 : Add all the distances : 3+1+1+3 = 8

Step 4 : Divide it by the number of data : 8 / 4 = 2 2 is the average absolute deviation.