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 |
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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