Statistics Calculator
Paste a list of numbers to see a descriptive summary. Sample (n − 1) and population (n) spread are both listed so you can pick the one you meant.
How it works
The mean is the arithmetic average. The median is the middle value after sorting (or the average of the two middle values). Mode is the most frequent value — or “no unique mode” if every value appears once. Range is max − min.
Sample variance divides by n − 1; population variance divides by n. This page does not run a hypothesis test or fit a regression.
Formula
Mean = Σx / n Median = middle of the sorted list Range = max − min s² = Σ(x − x̄)² / (n − 1), σ² = Σ(x − μ)² / n
Worked examples
1, 2, 3
1, 2, 3 → mean 2, median 2, sample SD 1, no unique mode
A repeated value
1, 2, 2, 3 → mode 2
Useful notes
- The dedicated standard-deviation page is better when you only want one method.
- The average calculator is mean-only.
FAQ
- What is the difference between sample and population SD?
Sample divides by n − 1. Population divides by n. Both are shown here so you can choose.
- What if every number is different?
There is no unique mode. The page says so instead of listing every value.
- Are the numbers uploaded?
No. The list is summarised in your browser.
Related tools
Mean Median Mode Range
Paste a list of numbers to get the mean, median, mode and range in one place.
Standard Deviation
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Z-score Calculator
Convert a value to a z-score, or a z-score back to the original scale, given a mean and standard deviation.
Confidence Interval
Build a z-interval for a mean from x̄, a standard deviation, n and a confidence level.
Probability Calculator
Combine two event probabilities as independent, mutually exclusive, or overlapping, plus complements and “at least one”.
See all Statistics tools.