Sample Variance


That is if we denote the sample mean by \(\overline{x}\) and the number of elements of our sample data set as \(n\), i.e. \(S=\{x_1,...,x_n\}\), then we calculate the population standard deviation as:

\[s^2=\frac{\Big(\sum_{i=1}^n(x_i-\overline{x})^2\Big)}{{n-1}}\]

Note that we denote the sample variance with the letter \(s^2\) "s- squared"