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Sample Standard Deviation Calculator

Statistics & Probability · Dispersion

Quick answer

If values are 12, 15, 15, 18, 22, 27, 31, the sample standard deviation is 6.9761.

Sample standard deviation: s = √( Σ(x − mean)² ÷ (n − 1) ).

Enter your values

  • 12
  • 15
  • 15
  • 18
  • 22
  • 27
  • 31
7 values

Sample Standard Deviation

6.9761

How spread out the values are from the average — a larger number means more variation, a smaller one means the values sit close together.

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About the Sample Standard Deviation Calculator

Sample standard deviation measures the typical distance of values from the mean when your list is a sample of a larger group. It divides by n − 1, which makes it a better estimate of the true spread. Enter your values to calculate it.

For 12, 15, 15, 18, 22, 27 and 31, the sample standard deviation is about 6.98.

Sample standard deviation

s = √( Σ(x − mean)² ÷ (n − 1) )

Things to keep in mind

  • It needs at least two values.
  • It is the square root of the sample variance.
  • Use the population version only when the list covers every member of the group.
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A quick guide to Sample Standard Deviation

Use it to get an accurate sample standard deviation in seconds — free, with no sign-up.

  • Instant results

    See your sample standard deviation the moment you enter your numbers.

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How to Use the Sample Standard Deviation Calculator

1

Enter Values

Provide your values.

2

View Your Results

Get your sample standard deviation instantly, calculated on our server.

What is Sample Standard Deviation?

This statistics & probability tool works out your sample standard deviation instantly, so you don't have to do the math by hand.

“One quick calculation, so you always know your sample standard deviation before you decide.”

What Affects Your Sample Standard Deviation

Your sample standard deviation depends on the values below.

  • Values

    Changing your values changes your sample standard deviation.

Example Result

Here's what you can expect from a sample standard deviation calculation:

Sample Standard Deviation
6.9761

Frequently Asked Questions

How to calculate sample standard deviation?
Fill in values in the Sample Standard Deviation Calculator above and your sample standard deviation is calculated instantly. Change any value to see how the result responds.
What does an example sample standard deviation calculation look like?
If values are 12, 15, 15, 18, 22, 27, 31, the sample standard deviation is 6.9761.
Is this calculator free to use?
Yes — every calculator on this site is completely free, with no sign-up or account required.
How accurate is this calculator?
It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
Is my data saved anywhere?
No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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Sample Standard Deviation

Enter your values

  • 12
  • 15
  • 15
  • 18
  • 22
  • 27
  • 31
7 values

Sample Standard Deviation

6.9761

How spread out the values are from the average — a larger number means more variation, a smaller one means the values sit close together.

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