Question

Is The Sum Of Deviations Always Zero?

• A. True
• B. False

Answer 1

The correct option is A True

Determining the mathematical expression for the sum of deviations:

We know that the sum of the positive deviation from the mean is always equal to the sum of the negative deviations. The mathematical expression for this is,

$\sum _{i=1}^n(x_i-\overline{x})=0$

Hence, the sum of deviations is always zero.

Therefore, the given statement is true.