Standard Deviation Calculator

Calculate Standard Deviation

Results

Enter values and click calculate to see results

Understanding Standard Deviation

What is Standard Deviation?

  • Measures spread of data from mean
  • Lower values = data close to mean
  • Higher values = data more spread out
  • Uses same units as original data

When to Use Each Type

  • Population (σ): Complete dataset
  • Sample (s): Subset of population
  • Sample uses n-1 (Bessel's correction)
  • Most real-world data uses sample

Interpreting Results

  • ±1σ contains ~68% of data
  • ±2σ contains ~95% of data
  • ±3σ contains ~99.7% of data
  • Compare to mean for context