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MathKit

Variance Calculator

Variance measures how far values spread from the mean: σ² = Σ(x − μ)² ÷ n.

Calculator

Use the Variance Calculator

Result

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Formula

σ² = Σ(x − μ)² ÷ n

Step-by-step

  1. 1

    Enter values

    List your numbers, separated by commas.

  2. 2

    Read the variance

    Larger variance means more spread.

Worked example

Example input: numbers: 2,4,6

Result: 2.6667

Related tools

Frequently asked questions

How is the variance computed here?

As the mean of squared deviations: take each number, subtract the average, square the result, then average them all. For 2 and 4 the mean is 3 and the variance is (1 + 1) / 2 = 1. Squaring does that on purpose: deviations below the average grab equal weight, and signs stop cancelling each other out.

Does this page use population or sample variance?

Population variance — the sum divides by N, the count itself. For a sample estimate divide by N-1 instead; for N = 5 that means multiplying the printed value by 5/4 to convert.

What units does the variance carry?

Squared units of the data: a distance variance of 9 means 9 square meters even though the data was meters. Take the square root for standard deviation to return to plain units.

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