Standard Deviation Calculator

Calculate standard deviation and variance

Standard Deviation Calculator

Enter numbers separated by commas, spaces, or line breaks

Sample: Use when data represents a sample from a larger population
Population: Use when data represents the entire population

About Standard Deviation

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation indicates that values tend to be close to the mean, while a high standard deviation indicates values are spread out over a wider range.

Formulas:

Sample Standard Deviation: σ = √(Σ(x - μ)² / (n - 1))

Population Standard Deviation: σ = √(Σ(x - μ)² / n)