Standard Deviation — Free Online (Tolyo.app)

Population & sample SD and variance.

Standard Deviation

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Numbers (comma, space, or newline)

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Count (n)

Mean (x̄)

15.800000

Sum of squares from mean

104.800000

Population variance (σ²)

20.960000

Divide by n

Population SD (σ)

4.578209

Sample variance (s²)

26.200000

Divide by n − 1 (Bessel correction)

Sample SD (s)

5.118594

Show derivations (formulas)

Details

Use population formulas when your data is the whole group. Use sample formulas (n−1) when your data is a sample from a larger population.

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