Standard Deviation Calculator

Calculate standard deviation, variance, mean, sum of squares, and count of data points

Count (n)
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Mean (Average)
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Sum of Squares
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Variance
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Standard Deviation
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Data Point Deviation from Mean Squared Deviation

Standard Deviation Formulas

For a Population:

Variance = Σ(x – μ)² / N

Standard Deviation = √Variance

For a Sample:

Variance = Σ(x – xÌ„)² / (n – 1)

Standard Deviation = √Variance

Where: Σ = Sum, x = data point, μ = population mean, x̄ = sample mean, N = population size, n = sample size