Find the standard deviation of a list of numbers, for a whole population or a sample, with the mean, variance and every step of the calculation shown.
Data type
Step by step
Enter your numbers and choose whether they are the whole population or a sample drawn from one.
Type your numbers separated by commas, spaces or new lines, like 10, 12, 23, 23. Whole numbers and decimals are both fine.
Choose Population if the numbers are the entire group, or Sample if they are a subset. Sample uses n−1 (Bessel’s correction), which gives a slightly larger value.
The standard deviation appears first, with the variance and mean beside it. The steps show the mean, the squared deviations, and the final square root. Need the spread as a squared value? The Variance Calculator shows just that.