## About This Tool

The online Population Standard Deviation Calculator is used to calculate the population standard deviation of a set of numbers.

## Population Standard Deviation

The population standard deviation is measures the variability of data in a population. It is usually an unknown constant. σ (Greek letter sigma) is the symbol for the population standard deviation.

## Formula

The following is the population standard deviation formula:

Where:

σ = population standard deviation

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

μ = mean of the population data set

N = size of the population data set