If the mean of observations $x1, x2, \dots, xn$ is $\bar{x}$, then the sum of deviations of all observations from th

Question

If the mean of observations $x1, x2, \dots, xn$ is $\bar{x}$, then the sum of deviations of all observations from their mean is:

Accepted Answer

The algebraic sum of deviations of all observations from their arithmetic mean is always zero, i.e., $\sum (xi - \bar{x}) = 0$. Therefore, option A is correct.

Statistics

❓ Sibling Questions in this Chapter