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Calculators

Variance, explained.

Variance is the average squared distance from the mean, for a sample or a population; the page gives it as an exact fraction with the working.

By 2 min read

The Statistics calculator: eight numbers with a mean of 5, a median of 4.5 and a sample standard deviation of 2.1381

Variance is the standard deviation before its square root.

The sum.

Σ(x − mean)² divided by n − 1 for a sample or n for a population. For 2, 4, 4, 4, 5, 5, 7, 9 the squares add to 32: a sample variance of 32/7 and a population variance of 4.

Exact.

The variance is an exact fraction; only the standard deviation, a square root, is rounded.

Its units.

Variance is in squared units, which is why the standard deviation is easier to read.

Further reading

Topics: variance calculator · how to calculate variance · sample variance · population variance · variance formula

A little less theory. A little more doing.

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