Standard Deviation Calculator

Calculate standard deviation, variance, and confidence intervals for your data

Calculate standard deviation, variance, mean, and other statistics for your dataset.

About Standard Deviation

Formulas

Population: σ = √(Σ(x-μ)²/N)

Sample: s = √(Σ(x-x̄)²/(n-1))

Key Terms:

  • Mean (μ): Average of all values
  • Variance (σ²): Average squared deviation
  • Std Dev (σ): Square root of variance
  • Std Error: σ / √N

When to Use:

  • Population: When data includes entire group
  • Sample: When data is a subset

Standard Deviation Calculator