Standard Deviation Calculator (Free)
Use this free standard deviation calculator to measure the spread of a data set. Enter your numbers to get the population and sample standard deviation, the variance, and the mean, with the full working and a dot plot.
How to use it
- Enter your data set (numbers separated by commas or spaces).
- Press Calculate.
- Read the standard deviation and follow the steps.
Population vs. sample
Population standard deviation (σ) divides by n; sample standard deviation (s) divides by n−1. Use the sample version when your data is a sample from a larger group.
Frequently asked questions
How do you find the standard deviation?
Find the mean, then the squared deviations from it, average them to get the variance, and take the square root. The tool shows each step.
What is the difference between population and sample standard deviation?
Population (σ) divides the sum of squared deviations by n; sample (s) divides by n−1 to correct for using a sample.
What is variance?
The average of the squared deviations from the mean — the square of the standard deviation.
Read the full lesson: learn the method step by step.
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