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Standard Deviation Calculator

Explore spread, variance and mean for a data set.

● Live results · Runs on your device · No sign-up

Your inputs

Population divides squared deviations by n; sample divides by n − 1.

Live results

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Result visualization

UNDERSTAND YOUR RESULTS

Standard Deviation Calculator guide

Explore spread, variance and mean for a data set.

How to use this tool

  1. Enter Numbers, Data set.
  2. Change a value to update the results and illustration. Check any validation message before using the output.
  3. Copy the results or download CSV. Reset restores the example values.

A worked example

For 2, 4, 4, 4, 5, 5, 7, 9 the population mean is 5 and population standard deviation is 2. Sample standard deviation is about 2.1381.

How it works

Population divides squared deviations by n; sample divides by n − 1.

Frequently asked questions

How should I interpret the illustration?

It is a visual aid, not a replacement for the numeric output. Some charts compare values with different units, and those magnitudes are not directly comparable.

Can I use the result without checking the inputs?

Check units, signs, assumptions and rounding first. The tool cannot know whether the values you enter describe the real situation correctly.