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Math Calculator

Variance Calculator.

Paste a list of numbers and get count, mean, variance, standard deviation, and sum of squares — population or sample.

Variance (sample)
22.266667
Count (n)6
Mean18.666667
Standard Deviation4.718757
Sum of Squares (SS)111.333333

Parsed 6 values: 12, 15, 18, 20, 22, 25

What Is a Variance Calculator?

A variance calculator measures how spread out a set of numbers is. Paste values separated by commas, spaces, or new lines, choose population or sample mode, and get variance plus standard deviation, mean, and sum of squares.

How to Calculate Variance

SS = Σ(xᵢ − mean)²
σ² = SS / n  |  s² = SS / (n − 1)

Standard deviation is the square root of variance. Use population (n) when you have the full set; use sample (n−1) when estimating from a subset.

Frequently Asked Questions (FAQs)

What is the difference between population and sample variance?

Population divides by n; sample divides by n − 1 (Bessel's correction) when estimating a larger population.

How do you calculate variance?

Compute the mean, square each deviation from the mean, sum them (SS), then divide by n or n−1. SD = √variance.

What is sum of squares in statistics?

SS = Σ(xᵢ − mean)² — total squared distance from the mean. Variance is SS divided by n or n−1.