Mean Median Mode Calculator
Paste a list of numbers and get the mean, median, mode, range, sum and count at once.
How it works
mean = sum ÷ n · median = middle of the sorted list · mode = most frequent value
The three classic averages answer different questions. The mean balances the total evenly across all values; the median is the value in the middle once the list is sorted (with an even count, the average of the two middle values); the mode is whatever value shows up most. The range — maximum minus minimum — is the crudest measure of spread.
Worked example
For 3, 7, 7, 2, 9, 4, 7, 5: the sum is 44, so the mean is 44 ÷ 8 = 5.5. Sorted, the list is 2, 3, 4, 5, 7, 7, 7, 9 — the two middle values are 5 and 7, so the median is 6. The mode is 7 (it appears three times), and the range is 9 − 2 = 7.
Frequently asked questions
When is the median better than the mean?
When a few extreme values distort the picture. One billionaire in a room shifts the mean income enormously but barely moves the median — that’s why home prices and incomes are usually reported as medians.
Can a data set have more than one mode?
Yes. Two values tied for most frequent make it bimodal, and this calculator lists every tied value. If every value appears equally often, there is no mode at all.
Do mean, median and mode ever all match?
In perfectly symmetric distributions, like an idealized bell curve, all three coincide. Skewed data pulls the mean toward the long tail first, then the median, while the mode stays at the peak.
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This calculator is for educational purposes. Double-check important results before acting on them.