Numbers and measures

Variance (statistics)

A measure of how far values spread out from their average.

  • Numbers and measures

Definition

A measure of how far values spread out from their average. The square root of variance is the standard deviation.

Example

Values of 2, 4, 4, 4, 5, 5, 7 and 9 have a mean of 5 and a variance of 4.

For your role

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Why it matters

It measures how spread out data is, which underpins many statistical methods.

Where it is used

Statistical reports and data science analysis.

How to calculate it

Sum of (each value − mean)² ÷ number of values

Worked example

Values of 2, 4, 4, 4, 5, 5, 7 and 9 have a mean of 5 and a variance of 4.