Statistics

Standard Deviation Calculator

Find sample or population standard deviation from a raw data list and measure how spread out the values are.

Preparing Standard Deviation Calculator

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Input

Paste or type the data values, choose sample or population standard deviation, and calculate the spread measure from the full list. You will see the result first and the step-by-step solution below.

Input summary

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Step by Step Calculation

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Calculate first and the full working will appear below automatically.

How to use Standard Deviation Calculator

Enter the dataset, choose whether the list represents a sample or a full population, and the calculator will return the corresponding standard deviation.

What this calculator is for

This calculator is for summarizing variability in scores, measurements, experiments, and reports when the mean alone is not enough to describe how tightly or loosely the data cluster.

Tips

Choose sample standard deviation when the list is only part of a larger population.
Keep the dataset numeric only; labels or units should stay out of the input box.
A larger standard deviation means the values are more spread out, not necessarily that the average is higher.