What the tool does, how to run it, and what to expect from the result.
Variance is the average squared distance from the mean: Σ(x − x̄)² ÷ n for a population, ÷ (n − 1) for a sample. For 2, 4, 4, 4, 5, 5, 7, 9 the sum of squares is 32, so σ² = 32 ÷ 8 = 4 and s² = 32 ÷ 7 = 4.571. Its square root is the standard deviation, which is in the original units and easier to read.
A quick way to understand who this helps, what it solves, and where it connects next.
Students, teachers, analysts and researchers working with data.
Using the variance calculator without installing anything or signing up.
Short answers for the questions people usually have before trying a utility like this.
A sample’s own mean sits closer to its values than the true population mean does, so dividing by n would underestimate the spread. n − 1 (Bessel’s correction) removes that bias.
No. It is a sum of squares, so it is zero only when every value is identical and positive otherwise.
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| x | x − x̄ | (x − x̄)² |
|---|---|---|
| 2 | -3 | 9 |
| 4 | -1 | 1 |
| 4 | -1 | 1 |
| 4 | -1 | 1 |
| 5 | 0 | 0 |
| 5 | 0 | 0 |
| 7 | 2 | 4 |
| 9 | 4 | 16 |
Sample: divide by n − 1 (Bessel’s correction) when the numbers are a sample of a larger group. Matches Excel STDEV.S / VAR.S.