This **variance calculator** calculates the (s^{2}) sample variance or the population variance for a data set, depending on the data provided. There is more information about the formulas used below the tool.

## How does this variance calculator work?

Variance is a statistical measure of how much the values in a data set researched are likely to vary from the mean of the values of the sample or of the population in question. Basically the variance is the average of the squares of the deviations from the mean. Please note that squaring the deviations is used because it ensures that the deviations which can be negative or positive do not cancel each other.

The variance formula is different when calculated for a sample than the one calculated for a population as they are presented below.

First thing to do with within this *variance calculator* is choose the variance type you intent to calculate then input the values one per line as explained here, for instance:

*4*

*5*

*6*

*2*

*6*

- Sample variance formula:

Where:

n = sample size.

x - bar = sample mean

- Population variance equation:

N = population size.

ū = population mean.

10 Apr, 2015