Statistics
The three central-tendency measures of a data set — mean, median, and mode — with the sorted data, sum, count, and range alongside.
Results update as you type. Non-numeric entries are ignored. All calculations run locally in your browser.
—
—
| Measure | Value |
|---|---|
| Count | — |
| Sum | — |
| Mean | — |
| Median | — |
| Mode | — |
| Range | — |
| Sorted data | — |
Mean = sum of all values ÷ count. Median = the middle value of the sorted data (or the average of the two middle values when the count is even). Mode = the value that appears most often; a data set can have several modes, or none when every value appears once.
Data 4, 8, 6, 5, 3, 8, 9: sorted, that is 3, 4, 5, 6, 8, 8, 9. Sum = 43, count = 7, so mean = 43 ÷ 7 = 6.14. The middle (4th) value is 6, so the median is 6. The value 8 appears twice — more than any other — so the mode is 8. Range = 9 − 3 = 6.
These are descriptive measures of the data you enter — they describe this set, not a wider population, and they say nothing about spread on their own (pair them with range or standard deviation for that). The mean is pulled by outliers: one very large value raises it even when most values are small, which is exactly when the median is the better summary. Modes are only meaningful for data where repeats are expected; with continuous measurements, exact repeats are rare and the mode may not exist.
Report the mean for roughly symmetric data and the median when the data is skewed or has outliers. Income is the classic case: a few very high incomes raise the mean well above what a typical person earns, so median income is the standard headline figure.
With an even count, the median is the average of the two middle values. For 2, 4, 7, 9 the median is (4 + 7) ÷ 2 = 5.50.
Yes. If two values tie for the highest frequency, the data is bimodal and both are modes. This page lists all tied values.
Every value appears exactly once, so nothing is most frequent. That is common with continuous measurements like heights recorded to the millimetre.
No. Sorting is done for you; the median and the sorted list are computed from whatever order you paste in.
No. Commas, spaces, and line breaks all work as separators, so pasted spreadsheet columns work directly.
Results are estimates only and do not constitute professional advice.