Question

How to calculate sample standard deviation?

Answer 1

Suppose the sample has
`n` data points, each denoted
`x_i` where
`1\le i\le n`.

First compute the mean:
`\overline x=\displaystyle\frac1n\sum_(i=1)^nx_i`.

The sample standard deviation is then


`\displaystyle\sqrt{\sum_(i=1)^n((\overline x-x_i)^2)/(n-1)}`