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Standard Deviation Calculator

Your inputs

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

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Result visualization

Explore spread, variance and mean for a data set — population and sample standard deviation, the full deviation table that builds the answer, and quartiles with the interquartile range. Free and instant.

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UNDERSTAND YOUR RESULTS

Standard Deviation Calculator guide

Explore spread, variance and mean for a data set — population and sample standard deviation, the full deviation table that builds the answer, and quartiles with the interquartile range. Free and instant.

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. The deviation table shows each value minus the mean, squared — 9, 1, 1, 1, 0, 0, 4, 16 — summing to 32, and the quartiles are 4 and 5.5, an interquartile range of 1.5.

What you can do with this tool

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.