Standard deviation

σ=σ2\sigma=\sqrt{\sigma^2}

Result unit: — (jednostki danych)

What it describes

The square root of the variance — the spread of the data in the same units as the data.

Symbols

σ\sigma
standard deviation
σ2\sigma^2
variance

Where it comes from

The square root of the variance — it brings the spread back to the same units as the data, making it easier to interpret.

When to use it

The typical measure of data dispersion (spread of results, risk).

Example

The variance is σ2=9\sigma^2=9. Find the standard deviation.
Substitutionσ2=9\sigma^2=9.
Resultσ=9=3\sigma=\sqrt9=3.

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