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How Spread Out Are These Numbers?

Calculate population and sample standard deviation.

Standard Deviation Calculator

Enter values to see one clear answer.

Method

Calculate deviations from the mean, square them, average them, then take the square root. Sample deviation divides by n − 1.

Example

For 2, 4, 4, 4, 5, 5, 7, 9, population standard deviation is 2.

Limits

Check inputs and units. Important academic, financial or professional decisions should be confirmed against an appropriate source.

Common questions

What does the standard deviation calculator calculate?

Calculate population and sample standard deviation.

Does this standard deviation calculator show its method?

Yes. The result includes the central formula or working needed to check the answer.

Are my values uploaded?

No. The calculation runs in this browser and does not require an account.