## About This Tool

The online Variance Calculator is used to calculate the variance (population variance and sample variance) of a set of numbers.

## Calculating Sample Variance

The sample variance is calculated by following formula:

Where:

s^{2} = sample variance

x_{1}, ..., x_{N} = the sample data set

x̄ = mean value of the sample data set

N = size of the sample data set

## Calculating Population Variance

The population variance of a finite population of size N is calculated by following formula:

Where:

σ^{2} = population variance

x_{1}, ..., x_{N} = the population data set

μ = mean of the population data set

N = size of the population data set