Standard Deviation Calculator - Sample & Population (s & σ)

Calculate sample standard deviation (s), population standard deviation (σ), variance, mean, and sum of squares from any list of comma-separated numbers.

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⚙️ Configuration & Inputs
📊 Results & Analysis
Sample Standard Deviation (s)
13.01
Mean (Average): 31.38 • Count: 8
Sample Standard Deviation (s)13.01
Population Standard Deviation (σ)12.17
Sample Variance (s²)169.41
Mean (Average μ)31.38
Sum of Data (Σx)251.00
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Sample vs. Population Standard Deviation

Use Sample Standard Deviation (divided by n - 1, Bessel's correction) when analyzing a representative subset of a larger population. Use Population Standard Deviation (divided by N) when analyzing every single member of the population.

Frequently Asked Questions

A low standard deviation means data points cluster tightly around the average mean, while a high standard deviation indicates wide spread and volatility.