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Standard Deviation Calculator

Calculate population and sample standard deviation, variance, mean, median, mode, range, and more from your data.

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Decimal places
Statistics Results
Sample Std Dev (s)
2.0000
Population σ: 1.8708
StatisticValue

Standard Deviation Explained

Standard deviation measures how spread out numbers are from the mean. A low SD means values are clustered near the mean; a high SD means values are spread widely.

Population vs Sample

Use population SD (σ) when your data is the entire population. Use sample SD (s) when your data is a sample from a larger population (divides by n−1 instead of n — Bessel's correction).

Variance

Variance is the square of the standard deviation. It's used extensively in statistics and probability theory.