Population Variance Calculator

Calculate population variance, population standard deviation, mean, and dataset size from a list of values.

Enter values separated by commas, spaces, or line breaks.
Formula:
σ² = Σ(x − μ)² / N

Result will appear here.
Metric Value

Privacy: calculations run locally in your browser. No inputs are stored or transmitted.

How it works

Population variance assumes the data represents the entire population, so the sum of squared deviations is divided by N.

Examples

  • 12, 15, 18, 21, 24
  • Mean, variance, and standard deviation are all calculated from the same dataset.

FAQ

  • What is population variance?

    Population variance measures how far values in an entire population are spread around the population mean.

  • What formula does this calculator use?

    It uses population variance: σ² = Σ(x − μ)² / N.

  • How should I enter the data?

    Enter values separated by commas, spaces, or line breaks.

  • What is the difference between population and sample variance?

    Population variance divides by N, while sample variance divides by n − 1.

  • Are calculations stored?

    No. Everything runs locally in your browser.

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