Question

Calculate the mean deviation from median
$7,4,10,15,9,7,9,7$.

Answer 1

Given series $7,4,10,5,9,7,9,7$

To find media arrange in ascending / descending order

$x=4,7,7,7,9,9,10,15$

Median $\left(A\right)=\frac{7+9}{2}=8$

Median deviation $=\frac{7+9}{2}=8$

Mean deviation $=\frac{\sum _{i=1}^n|x_1-A|}{n}$

$=\frac{|4-8|+|7-8|+|7-8|+|7-8|+|9-8|+|9-8|+|10-8|+|k-8|}{8}$

$=\frac{4+2+1+1+1+1+2+7}{8}=\frac{18}{8}=2.25$