∑Math calculator

Standard Deviation Calculator

Mean, variance, and standard deviation of a data set.

Enter numbers (comma separated) and get mean and population sd instantly.

InNumbers (comma separated)OutMeanOutPopulation SDOutSample SD
1 input4 resultsFree no signupPrivate in your browser

Standard Deviation Calculator

Fill in the value and the answer updates as you type.

Live
1 Your numbers
2 Your result

How the Standard Deviation Calculator works

Population SD = √(Σ(x − mean)² ÷ n). Sample SD divides by n − 1 instead.

Inputs and results

The Standard Deviation Calculator takes 1 input and gives 4 results.

What you enter

  • Numbers (comma separated) — starts at 4, 8, 6, 5, 3, 7.

What you get

  • Mean
  • Population SD
  • Sample SD
  • Population variance

Example: Standard Deviation Calculator with the starting values

With numbers (comma separated) 4, 8, 6, 5, 3, 7, the calculator returns:

Example results
Mean5.5
Population SD1.7078
Sample SD1.8708
Population variance2.9167

Change any value above and the results update straight away.

Standard Deviation Calculator FAQ

How do I use the Standard Deviation Calculator?

Enter numbers (comma separated) in the fields, then read mean, population sd, sample sd and population variance in the result panel. The answer updates as you type, and you can press Calculate or Enter to refresh it. Use “Copy link” to share your exact numbers with someone else.

What does the Standard Deviation Calculator calculate?

Mean, variance, and standard deviation of a data set. It returns mean, population sd, sample sd and population variance from the 1 value you provide.

What values does the Standard Deviation Calculator start with?

It opens with numbers (comma separated) 4, 8, 6, 5, 3, 7 so you can see a working result straight away. Replace them with your own numbers, or press Reset to return to these starting values.

Is the Standard Deviation Calculator free and private?

Yes. It is free, needs no account, and runs in your browser, so nothing you type is sent to or stored on our servers. See the Privacy Policy for details.

Can I rely on the Standard Deviation Calculator for important decisions?

Treat the result as a well-rounded estimate. Real situations often have details a general calculator cannot know, so confirm important decisions with a qualified professional. See the Disclaimer for more.