Standard Deviation Calculator
Calculate standard deviation, variance, and mean for any data set. Supports both population and sample calculations.
8 values detected

Use sample when your data is a subset of a larger population

Results
5.2372
Standard Deviation (σ̂)
27.4286
Variance (σ²̂)
18.0000
Mean (μ)
Additional Statistics
Count:8
Sum:144.00
Min:10
Max:23
Range:13
Step-by-Step Calculation
Value (xᵢ)xᵢ - μ(xᵢ - μ)²
10-8.000064.0000
12-6.000036.0000
235.000025.0000
235.000025.0000
16-2.00004.0000
235.000025.0000
213.00009.0000
16-2.00004.0000

Formulas

Mean: μ = Σxᵢ / n
Variance: σ² = Σ(xᵢ - μ)² / (n-1)
Standard Deviation: σ = √σ²

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