Population Standard Deviation Calculator
Calculate population standard deviation (sigma) for complete population data. Get accurate dispersion measures with variance and CV.
Enter Population Data
Example Data Sets:
Data Range:
Min: 23.0000 | Max: 64.0000 | Range: 41.0000
Population Standard Deviation (sigma)
13.453624
Population Mean
44.000000
Population Variance
181.000000
Population Size (N)
10
Coeff. of Variation
30.58%
Population vs Sample:
Population SD (sigma):
13.453624
Sample SD (s):
14.181365
What is Population Standard Deviation?
Population standard deviation (sigma) measures the dispersion of all values in a complete population from the population mean. It is the square root of the population variance and is expressed in the same units as the original data, making it easier to interpret than variance.
Formula
sigma = sqrt(Sum[(Xi - mu)squared] / N)
Where Xi is each value, mu is the population mean, and N is the population size.