Question

What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Answer 1

2

Explanation:

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Answer 2

The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Explanation:

Step 1 : Add all the values Up:

`12+10+10+8+6+7+7+12=72`

Step 2 : Divide them by the number of items or numbers:

`(12+10+10+8+6+7+7+12)/(8)=9`

Step 3: Find the absolute deviations:

`12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\`

Step 4: Add all the absolute deviations:

`3+1+1+1+3+2+2+3=16`

Step 5: Find the mean:

`(3+1+1+1+3+2+2+3)/(8)=2`