Calculate population variance.
DispersionOpen
Sample Variance Calculator
Quick answer
If values are 12, 15, 15, 18, 22, 27, 31, the sample variance is 48.6667.
Sample variance: s² = Σ(x − mean)² ÷ (n − 1).
Enter your values
- 12
- 15
- 15
- 18
- 22
- 27
- 31
7 values
Sample Variance
48.6667
The average of the squared differences from the mean — the basis for standard deviation, in squared units.
More in Dispersion
All Dispersion calculatorsCalculate sample standard deviation.
DispersionOpenCalculate population standard deviation.
DispersionOpenCalculate coefficient of variation.
DispersionOpenCalculate mean.
DescriptiveOpenCalculate median.
DescriptiveOpen
About the Sample Variance Calculator
Sample variance measures how spread out a sample of values is around its mean. It divides by n − 1 rather than n, which corrects for the fact that a sample tends to understate the spread of the whole group. Use it when your numbers are a sample, as in most surveys and experiments.
For 12, 15, 15, 18, 22, 27 and 31, the mean is 20 and the sample variance is about 48.67.
Sample variance
s² = Σ(x − mean)² ÷ (n − 1)
Things to keep in mind
- It needs at least two values.
- Variance is in squared units; take the square root to get the sample standard deviation.
- If you have the entire group rather than a sample, use population variance.
STATISTICS & PROBABILITY GUIDE
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1
Enter Values
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2
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What is Sample Variance?
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What Affects Your Sample Variance
Your sample variance depends on the values below.
Values
Changing your values changes your sample variance.
Example Result
Here's what you can expect from a sample variance calculation:
- Sample Variance
- 48.6667
Frequently Asked Questions
- How to calculate sample variance?
- Fill in values in the Sample Variance Calculator above and your sample variance is calculated instantly. Change any value to see how the result responds.
- What does an example sample variance calculation look like?
- If values are 12, 15, 15, 18, 22, 27, 31, the sample variance is 48.6667.
- 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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