Standard Deviation Calculator

Enter a dataset to calculate mean, median, mode, range, variance, standard deviation, and coefficient of variation.

Enter your numbers separated by commas, spaces, or newlines. Example: 4, 8, 6, 5, 3, 7, 8, 9

Descriptive Statistics

Count (n)
Sum
Mean (μ)
Median
Mode
Range
Min
Max

Variance & Standard Deviation

Population Variance (σ²)
Population Std Dev (σ)
Sample Variance (s²)
Sample Std Dev (s)
Coefficient of Variation

Formulas

σ² = Σ(x_i − μ)² / N (population)
s² = Σ(x_i − x̄)² / (n−1) (sample, Bessel correction)
CV = σ / |μ| × 100%
References: Population variance divides by N; sample variance by (n-1) (Bessel's correction). CV = σ/|μ|. Median: middle value of sorted data.