Variance Calculator
Last updated: October 15, 2026
Calculate population variance, sample variance, mean and standard deviation from a list of numbers.
Population variance
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- Sample variance: —
- Mean: —
- Population standard deviation: —
- Count: —
On this page
Quick summary: Calculate population variance, sample variance, mean and standard deviation from a list of numbers.
Read the method, example and limitations
Updated reference sections in this guide are in English.
Guide language: English. Updated October 15, 2026.
What this calculator estimates
Calculate population variance, sample variance, mean and standard deviation from a list of numbers.
Inputs and units
Enter Numbers separated by commas. Use the units shown. Required fields cannot be blank. Use zero only where that field and the model allow it. Select Calculate after changing the values.
Method and assumptions
Population variance is the sum of squared deviations from the mean divided by n. Sample variance divides by n-1 and requires at least two values. Population standard deviation is the square root of population variance.
Worked example
The values 2, 4, 4, 4, 5, 5, 7 and 9 have mean 5, population variance 4 and sample variance 32/7, approximately 4.571428571429.
Limitations
Use the same measurement units throughout. Variance has squared units. Listed decimal fractions use a dot; invalid tokens are rejected instead of being excluded from the sample.