Statistics Calculator
Compute the key descriptive statistics for any data set: mean, median, mode, range, variance and standard deviation (both sample and population).
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Save ⟶How to use the Statistics Calculator
- 1Enter data set (comma or space separated) in the form on the left.
- 2Fill in the remaining fields — the result updates automatically as you type.
- 3Review the highlighted result and the supporting breakdown on the right.
- 4Use Copy, Share or Print to save or send your result.
Sample vs. population standard deviation
Standard deviation measures how spread out values are around the mean. Use the population formula (divide by n) when your data is the entire group of interest; use the sample formula (divide by n−1, Bessel's correction) when your data is a sample drawn from a larger population — the correction compensates for samples underestimating spread.
Roughly speaking, in bell-shaped data about 68% of values fall within one standard deviation of the mean and 95% within two — a quick way to judge whether a value is unusual.
Frequently Asked Questions
▸Which standard deviation should I use?
Sample (n−1) if your numbers are a sample of a bigger group — the usual case in surveys and experiments. Population (n) if you measured every member of the group.
▸What does a mode of 'no mode' mean?
Every value appears the same number of times, so no value is most frequent. Data can also be bimodal or multimodal when several values tie.