Mathlean · Online math workspace

Population variance calculator

Calculate the mean squared deviation using the full population size.

How to use this calculator

Replace the data list; [1,2,3] has population variance 2/3.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PopulationVariance⁡([1,2,3])\operatorname{PopulationVariance}\left([1,2,3]\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Use this when the list represents the whole population, not the usual unbiased sample estimator.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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