Statistics and probability

Standard deviation

The square root of variance, measuring the typical spread of observations around their mean in the original units.

Common notation σ=√(Σ(xᵢ−μ)²/N)

In one sentence

What does Standard deviation mean?

The square root of variance, measuring the typical spread of observations around their mean in the original units.

How it is written

σ=√(Σ(xᵢ−μ)²/N)

A compact example

A dataset whose values cluster near the mean has a smaller standard deviation.

Other names and search terms

SD.

Clear answers

Questions about Standard deviation

What does Standard deviation mean in mathematics?

The square root of variance, measuring the typical spread of observations around their mean in the original units.

How is Standard deviation written?

A common notation is σ=√(Σ(xᵢ−μ)²/N).

What is an example of Standard deviation?

A dataset whose values cluster near the mean has a smaller standard deviation.