Question

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.

Answer 1

5, 8, 1, 15, 22

$\text{Moon =}\frac{\text{sum of observation}}{\text{No}\text{. of obesuation}}$

$=\frac{5+8+10+15+22}{5}$

$=\frac{60}{5}=12$

Sum of deviations

$=|5-12|+|8-12|+|10-12|+|15-12|+|22-12|$

$=|7|+|-4|+|-2|+|3|+|10|$

$=7+4+2+3+10$

$=26$