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Variance Calculator

Compute population or sample variance of a data set.

Input Data

Data

Results

5
4
4.5714
2

At a glance:Variance = mean of squared deviations; population σ² = Σ(x−μ)²/n, sample s² = Σ(x−x̄)²/(n−1). Complements standard-deviation and MAD.

Formula

population: σ² = Σ(x−μ)² / n.

sample: s² = Σ(x−x̄)² / (n−1).

How to Use

  1. Enter comma-separated numbers and a mode.
  2. The tool returns the variance.

Case Studies

2,4,6,8

mean 5; sample s² = 20/3 ≈ 6.67.

FAQ

Population vs sample?

Use sample (÷n−1) for a subset to reduce bias.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Variance Calculator(/math/variance)。