How do I use the Standard Deviation Calculator?

Enter your numbers separated by commas, spaces, or newlines. Choose Population (σ) or Sample (s) mode. Click Calculate to see all statistics. Review the step-by-step calculation breakdown.

Is the Standard Deviation Calculator free?

Yes, the Standard Deviation Calculator is completely free. It runs entirely in your browser with no signup, no download, and no data sent to any server.

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Standard Deviation Calculator

Calculate mean, variance, standard deviation, median, mode, and range. Supports population and sample calculations with steps.

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Standard Deviation Calculator

Calculate mean, variance, standard deviation, and more statistics for any dataset. Supports population and sample calculations.

Enter Numbers (comma, space, or newline separated)

— sample uses n-1 (Bessel's correction)

How to use

How to Use the Standard Deviation Calculator

1 Enter your numbers separated by commas, spaces, or newlines.
2 Choose Population (σ) or Sample (s) mode.
3 Click Calculate to see all statistics.
4 Review the step-by-step calculation breakdown.

Standard deviation measures how spread out numbers are from the mean. A low standard deviation means data points are close to the average, while a high standard deviation means they're spread out. Use Population mode for complete datasets and Sample mode when working with a subset.

Sample standard deviation uses n-1 (Bessel's correction) in the denominator instead of n, which corrects for bias when estimating from a sample. The calculator also shows mean, median, mode, sum, and range — all essential descriptive statistics for data analysis.

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