Population Variance Calculator
Calculate population variance (sigma squared) for a complete population. Get accurate variance with step-by-step calculations.
Enter Population Data
Example Data Sets:
Population Variance (sigma squared)
90.440000
Population Mean
26.600000
Population Std Dev
9.509995
Population Size (N)
10
Sum of Sq. Deviations
904.400000
Comparison:
Population Variance (N):
90.440000
Sample Variance (n-1):
100.488889
What is Population Variance?
Population variance measures how spread out all values are from the population mean. Unlike sample variance which divides by (n-1), population variance divides by N because we have complete population data, eliminating the need for Bessel's correction.
Population Variance Formula
sigma squared = Sum[(Xi - mu)squared] / N
Where Xi is each value, mu is the population mean, and N is the population size.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Standard Mathematical References
by Various