Question

Find the MAD of this set of data.

Answer 1

Answer:

2.8

Step-by-step explanation:

The given data set is;

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

The mean of this set is;

$\bar X=\frac{\sum x}{n}$

$\bar X=\frac{6+12+10+9+8+6+2+4+8+15}{10}$

$\bar X=\frac{80}{10}=8$

The mean absolute deviation is given by

$M.A.D=\frac{\sum |x-\bar X|}{n}$

$M.A.D=\frac{|6-8|+|12-8|+|10-8|+|9-8|+|8-8|+|6-8|+|2-8|+|4-8|+|8-8|+|15-8|}{10}$

$M.A.D=\frac{2+4+2+1+0+2+6+4+0+7}{10}$

$M.A.D=\frac{28}{10}$

$M.A.D=2.8$