# What is the difference between a sample and population variance?

##### 1 Answer
Oct 30, 2015

Refer explanation section

#### Explanation:

Population Variance $= \frac{\sum {\left(x - \overline{x}\right)}^{2}}{N}$

Where -

$x$ is the observation
$\overline{x}$ is mean of the series
$N$ is size of the population

Sample Variance $= \frac{\sum {\left(x - \overline{x}\right)}^{2}}{n - 1}$

Where -

$x$ is the observation
$\overline{x}$ is mean of the series
$n - 1$ is degrees of freedom (in which $n$ is size of the sample.)