Online Tools and Calculators > Math > Variance Calculator

Variance Calculator

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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:

Sample Variance Formula

Where:
s2 = sample variance
x1, ..., xN = 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:

Population Variance Formula

Where:
σ2 = population variance
x1, ..., xN = the population data set
μ = mean of the population data set
N = size of the population data set

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