Statistics Calculator
How to Use
- Enter your numbers in the text box, separated by commas, spaces, or one per line.
- Results update automatically as you type.
- The summary shows count, sum, mean, median, mode, and range.
- Variance and standard deviation are shown for both population and sample formulas — use sample if your data is a subset of a larger population.
Frequently Asked Questions
QWhat is the difference between mean, median, and mode?
The mean is the average (sum divided by count). The median is the middle value when the numbers are sorted. The mode is the value that appears most often. All three are measures of "central tendency" but can give different results for skewed data.
QWhat is the difference between population and sample standard deviation?
Population standard deviation divides by N (the total count) and is used when your data represents the entire group you care about. Sample standard deviation divides by N−1 and is used when your data is a sample used to estimate a larger population — it gives a slightly larger result to account for the extra uncertainty.
QWhat does a high standard deviation mean?
A high standard deviation means the values are spread out widely from the mean. A low standard deviation means the values are clustered close to the mean.
QCan a dataset have more than one mode?
Yes — if two or more values are tied for the highest frequency, the dataset is "multimodal" and all of those values are shown as modes. If every value appears exactly once, there is no mode.
QIs my data sent to a server?
No. All calculations happen locally in your browser using JavaScript. Nothing is sent to or stored on any server.
About This Calculator
Variance is calculated as the average of squared deviations from the mean (dividing by N for population, N−1 for sample — Bessel's correction). Standard deviation is the square root of variance. The median is computed from the sorted list (averaging the two middle values for even-sized lists).
