Free online standard deviation calculator. Calculate mean, variance, standard deviation (population and sample), median, min, max, and range from your data set. Perfect for statistics, data analysis, and math homework.
Type or paste your numbers separated by commas or spaces. You can enter as many numbers as you need.
Click Calculate to compute all statistics instantly: mean, variance, standard deviation (both population and sample), median, min, max, and range.
Review the calculated statistics. Population standard deviation (σ) uses N, while sample standard deviation (s) uses N-1 for unbiased estimation.
Q: What is the difference between population and sample standard deviation?
A: Population standard deviation (σ) divides by N when you have data for the entire population. Sample standard deviation (s) divides by N-1 when working with a sample to provide an unbiased estimate of the population parameter.
Q: What does standard deviation tell you?
A: Standard deviation measures how spread out your data is from the mean. A low standard deviation means data points are close to the mean; a high value means they're widely spread.
Q: How many numbers can I enter?
A: You can enter as many numbers as you need. The calculator handles large datasets efficiently with client-side computation.