Mathematics

Standard Deviation Calculator

Calculate mean, median, mode, variance, and standard deviation

How to Use
  1. Enter your data values separated by commas, spaces, or new lines.
  2. Statistics update instantly as you type — no button press needed.
  3. Population Std Dev (σ) — use when your data is the entire population.
  4. Sample Std Dev (s) — use when your data is a sample from a larger population (divides by N−1).

Formula

Mean (μ) = Σx / N
Population Variance (σ²) = Σ(xᵢ − μ)² / N
Population Std Dev (σ) = √(σ²)
Sample Variance (s²) = Σ(xᵢ − x̄)² / (N−1)
Sample Std Dev (s) = √(s²)
Median Middle value of sorted data
Range Max − Min