# What is the relationship between standard deviation and variance?

Oct 21, 2015

Standard deviation is a square root of variance

#### Explanation:

Variance

${\sigma}^{2} = \left(\frac{1}{n}\right) \cdot {\Sigma}_{i = 1}^{n} \left({x}_{i} - \overline{x}\right)$

Standard deviation

$\sigma = \sqrt{\left(\frac{1}{n}\right) \cdot {\Sigma}_{i = 1}^{n} \left({x}_{i} - \overline{x}\right)}$