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Standard Deviation Calculator

Enter any data set to instantly compute the mean, variance, and standard deviation — both the population version (σ, dividing by n) and the sample version (s, dividing by n − 1 with Bessel's correction). The calculator walks through every step: computing deviations from the mean, squaring them, summing, and taking the square root. It also reports the minimum, maximum, and range of your data. Just type or paste your numbers separated by commas or spaces.

Formulas

σ=∑(xi−μ)2N(population)\sigma = \sqrt{\frac{\sum(x_i - \mu)^2}{N}} \quad\text{(population)}s=∑(xi−xˉ)2n−1(sample)s = \sqrt{\frac{\sum(x_i - \bar{x})^2}{n-1}} \quad\text{(sample)}

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