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Standard Deviation Calculator

Calculate the standard deviation, variance and mean of a data set.

How this is calculated
σ = √(Σ(x − mean)² ÷ n) for population; sample divides by n−1 (Bessel's correction)

Assumptions used in this calculation

  • Both variants shown: Both population (÷n) and sample (÷n−1) standard deviation and variance are calculated; choosing the right one depends on whether your data is the full population or a sample.

About this calculator

Calculates population and sample standard deviation and variance for any data set, covering what the master prompt separately lists as a general 'Statistics Calculator', since mean/median/mode are already covered by the Mean, Median, Mode & Range calculator.

Worked example

2, 4, 4, 4, 5, 5, 7, 9

Result: Population std dev = 2, sample std dev ≈ 2.14

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