Math

Standard Deviation Calculator

Compute mean, variance, standard deviation, min, max, and count from a dataset.

Inputs

Defaults are prefilled so the result is visible immediately.

Dataset

Use sample standard deviation

Results

Results update as the calculator inputs change.

Standard deviation

5.921711

Mean

19.333333

Variance

35.066667

Count

Min

Max

Formula and Assumptions

Variance is the sum of squared deviations divided by n for population or n - 1 for sample.

Sample standard deviation uses n - 1 in the denominator.

Population standard deviation uses n in the denominator.

Reference Upgrade

Built from the Calculator.net model, with added context.

Live validation and instant result updates instead of a submit-only workflow.

Multiple decision metrics are shown together, not only the primary answer.

Formula notes and assumptions are visible on the page so the math is easier to audit.

Reference Model

Modeled after the input style and primary output on Calculator.net's Standard Deviation Calculator.

The page keeps the math in one place and exposes the assumptions beside the result.

Default inputs: dataset=12, 15, 18, 20, 22, 29, sample=true