Numbers and measures

Standard deviation

  • Numbers and measures

Definition

A measure of how spread out values are around the average.

Example

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

For your role

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Why it matters

It shows how consistent or variable results are.

Where it is used

Statistical reports and quality 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 standard deviation of 2.