Population
σ = √[Σ(x − μ)² ÷ N]Use when your dataset contains the entire population you want to describe.
Math
Standard Deviation Calculator
Calculate population and sample standard deviation, variance, mean, and count from a dataset.
Calculator
STANDARD DEVIATION
Measure how spread out your data is
Enter a dataset and choose whether it represents a population or a sample.
STANDARD DEVIATION3.50
VARIANCE12.25
MEAN14.67
Population standard deviation · 6 values
Population vs sample standard deviation
Sample
s = √[Σ(x − x̄)² ÷ (n − 1)]Use when your data is a sample drawn from a larger population.
Interpretation
A smaller standard deviation means observations are closer to the mean; a larger value indicates more spread.