Question

Find the MAD of this set of data.

6, 12, 10, 9, 8, 6, 2, 4, 8, 15

8
9
2.8
3.5

Answer 1

2.8

Explanation:

The given data set is;

6, 12, 10, 9, 8, 6, 2, 4, 8, 15

The mean of this set is;

`\bar X=(\sum x)/(n)`

`\bar X=(6+12+10+9+8+6+2+4+8+15)/(10)`

`\bar X=(80)/(10)=8`

The mean absolute deviation is given by

`M.A.D=(\sum |x-\bar X|)/(n)`

`M.A.D=(|6-8|+|12-8|+|10-8|+|9-8|+|8-8|+|6-8|+|2-8|+|4-8|+|8-8|+|15-8|)/(10)`

`M.A.D=(2+4+2+1+0+2+6+4+0+7)/(10)`

`M.A.D=(28)/(10)`

`M.A.D=2.8`