Standard Deviation Calculator

Calculate mean, variance, and standard deviation for your data set
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Sample vs. Population Standard Deviation

Sample Standard Deviation

Use when your data is a sample of a larger population. Divides by n-1 (Bessel's correction) to give an unbiased estimate.

s = √[Σ(xᵢ - x̄)² / (n - 1)]

Population Standard Deviation

Use when your data represents the entire population. Divides by n.

σ = √[Σ(xᵢ - μ)² / N]

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