Mathlean · Online math workspace

Population standard deviation calculator

Measure population spread as the square root of its mean squared deviation.

How to use this calculator

Replace the observations in the list; the example returns the square root of 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

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

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

What to know

This uses the population convention. Small samples usually call for sample standard deviation instead.

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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