Standard Deviation Calculator

Calculate the mean, variance, and standard deviation of a list of numbers. Provides both population and sample standard deviation.

Number Input

Enter the numbers to calculate. Separate by commas, newlines, or spaces.

Standard Deviation Guide

  • Population Standard Deviation (N): Uses the entire dataset. Use when your data represents the complete population.
  • Sample Standard Deviation (n-1): Used when estimating population parameters from a sample. Provides a more conservative estimate.
  • Variance is the square of standard deviation, representing how far each number deviates from the mean.
  • The mean (arithmetic mean) is the sum of all values divided by the count.