Question

If the sum of the deviations of all the 40 observations from the average is 160, then find the average of deviations.

• A. 4
• B. 5
• C. 3
• D. 2

Answer 1

The correct option is A 4

As we know ,

$\text{Arithmetic mean}=\text{Estimated mean + Average of deviations}=\text{Estimated mean}+\frac{\text{Sum of deviations}}{\text{Number of Observations}}$

Average of deviations = $\frac{\text{Sum of deviations}}{\text{Number of Observations}}$

= $\frac{\text{160}}{\text{40}}$ = 4