Variance & Standard Deviation Calculator
Variance & Standard Deviation s²
Enter a data set, then choose the divisor. By default the tool divides by N (population variance). The sample variance divides by N − 1. The solution shows the range, interquartile range, table of squared deviations, variance and standard deviation.
The calculator above measures how spread out your data are around the mean by computing the variance and standard deviation.
Formulas used
s² = (1/n) Σ (xᵢ − x̄)²
s = √s²
- For a sample estimate, divide by n − 1 instead of n.
Worked example
Data: 2, 4, 4, 4, 5, 5, 7, 9 (mean 5):
s² = 4, s = 2
Enter the same values in the calculator above to see every step of the solution.
How to use the calculator
- Enter the data values separated by commas or spaces.
- Press the calculate button. The result appears instantly.
- Read the step-by-step solution, rendered with KaTeX, to check your own work.