How this calculator works
This calculator computes sample or population standard deviation, mean, and variance from a list of numbers. Enter numbers to see the statistical measures. Use it for statistics, quality control, and data analysis. The key inputs are a list of numbers and whether to use sample or population mode. The output is the mean, variance, and standard deviation. Real-world applications include data analysis, quality control, research, statistics education, and process monitoring. The calculator parses numbers, calculates mean and variance, then applies the selected sample or population divisor. Use sample standard deviation when your numbers represent a sample of a larger group. Use population standard deviation when your list is the entire group you care about. Separate values with commas, spaces, or new lines when pasting data.