Calculators
Average, Median & Mode Calculator
Paste a list of numbers and get mean, median, mode, range, count, sum, and standard deviation with the formulas shown.
Median resists outliers better than the mean. Sample SD uses the n−1 formula. Computed locally.
When the Average Lies: Outliers and Medians
Averages are pulled by extreme values: nine houses at $250,000 and one at $4,000,000 have a mean of $625,000 — a number that describes no actual house. When a distribution is skewed (incomes, house prices, response times), the median is the honest summary. A quick check: if mean and median differ noticeably, report both, and if you cannot compute the median, at least look at whether the maximum is far from the rest before trusting the mean.
The Formula Behind the Result
- Paste or type numbers separated by spaces, commas, or line breaks — mixed separators are fine.
- All statistics compute instantly: mean, median, mode (if any), min, max, range, sum, and standard deviation.
- The median logic handles even-sized lists by averaging the two middle values.
- Standard deviation uses the sample formula (n−1 denominator) and the population alternative is shown too.
Worked Example
Common Questions
When should I use median instead of mean?
Use the median when your data contains outliers — incomes and house prices are classic cases where a few extreme values distort the mean.
What if there are two modes?
All tied values are reported. If every value appears equally often, the tool reports that there is no meaningful mode.
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