Mean, median and standard deviation calculator
A list of numbers in, the statistics and the working out.
Output
Paste or type above to see the result here.
Your files stay on your device
This tool runs entirely in your browser. What you paste is processed on your device and is never sent to a server, so it is safe to use with tokens, keys and unpublished text.
How it works
- Type or paste the numbers, separated by spaces, commas or new lines — a column copied from a spreadsheet works.
- The mean, median and standard deviation appear first.
- Below them: the mode, range, quartiles, both variances with their formulas, and a table of each value’s deviation from the mean.
Frequently asked questions
- What is the difference between population and sample standard deviation?
- The population standard deviation σ divides the sum of the squared deviations by n; the sample one, s, divides by n − 1, because a sample tends to understate the spread. Use σ when you have every value, s when the numbers are a sample.
- How is the median found?
- Put the numbers in order and take the middle one; with an even count, the mean of the two middle ones: in 2, 4, 4, 4, 5, 5, 7, 9 it is (4 + 5) / 2 = 4.5.
- What if there are two modes?
- All of them are listed. If every value appears the same number of times, there is no mode.
- How are the quartiles worked out?
- As the medians of the lower and the upper half (the middle value left out when the count is odd), the method taught at school. Spreadsheets may use other methods and give slightly different quartiles.
- Is anything uploaded?
- No. It is worked out in your browser, and nothing you type leaves your computer.
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