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Calculators / Math / Average & statistics
Average & statistics calculator
Find mean, median, range, and population standard deviation.
On this page
Mean30
Median30
Range40
Population standard deviation14.14
Count5
Calculator controls
How to calculate
Find mean, median, range, and population standard deviation.
Mean = sum ÷ count; population variance = Σ(x − mean)² ÷ count
Worked example
Numbers (comma separated): 10, 20, 30, 40, 50.
Mean: 30 ; Median: 30 ; Range: 40 ; Population standard deviation: 14.14 ; Count: 5 .
Assumptions and limits
Accepts up to 1,000 finite numbers. Standard deviation treats your list as the whole population.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
The mean uses every value, the median is the middle of the sorted list, and the range spans its smallest and largest values. Population standard deviation measures spread around the mean.
When this tool is useful
Summarize a complete set of scores, measurements, or observations.
Understanding your inputs
| Input | What to enter |
|---|---|
| Numbers (comma separated) | Enter the value in the format shown. |
Frequently asked questions
Is the standard deviation for a sample?
No. This tool divides squared deviations by the count N. A sample estimate usually uses N−1 and answers a different statistical question.
Why are mean and median different?
Extreme values can move the mean substantially while changing the median much less. Compare both when the list contains outliers.