Find the mean, median, mode and range of any list of numbers in one pass, with the sorted order and sum shown so you can check the result yourself. Runs entirely in your browser — your numbers never leave this device.
| Position | Value |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 8 |
| Measure | What it is | Pulled by outliers? |
|---|---|---|
| Mean | Sum divided by count | Yes — strongly |
| Median | Middle value when sorted | No |
| Mode | Most frequent value | No |
| Range | Largest minus smallest | Yes — uses the two extremes |
Paste or type a list of numbers separated by commas, spaces or new lines. The calculator counts the values, adds them for the sum, and divides to give the mean — the 'average' most people mean. It then sorts the same list to find the median (the middle value), the mode (the value that appears most often) and the range (largest minus smallest), because a single average rarely tells the whole story.
The mean and median answer different questions. The mean shares the total equally, so one very large or small value can pull it a long way; the median only cares about position, so it resists outliers. Comparing the two is informative in itself: if the mean is well above the median, a few big values are dragging it up — the classic pattern in incomes and house prices.
Blank entries and stray text are ignored, but a list needs at least one number. If two values tie for most frequent, both are reported as modes, and if every value appears once the calculator says there is no mode rather than picking one at random. Results keep up to four decimal places in the working, with the headline mean rounded to two.
In everyday use they are the same thing: 'average' almost always means the arithmetic mean — add everything up and divide by how many values there are. Median and mode are also technically averages (measures of central tendency), which is why this calculator shows all of them together.
With an even count there is no single middle value, so the median is the mean of the two middle values after sorting. For 3, 5, 8, 10 the two middle values are 5 and 8, so the median is (5 + 8) / 2 = 6.5 — a value that does not itself appear in the list.
Yes. If two values tie for the highest frequency the set is bimodal and both are reported; three or more tied values make it multimodal. If every value appears exactly once, there is no mode at all, and the calculator says so rather than inventing one.
Use the mean when the values are fairly evenly spread and every value should count, like test scores or temperatures. Prefer the median when a few extreme values would distort the picture — incomes, house prices and waiting times are the classic cases where the median is the more honest 'typical' value.
Any reasonable list — hundreds of values separated by commas, spaces or line breaks are handled in one pass. Non-numeric text and empty gaps are skipped, and the count shown with the results tells you exactly how many values were actually used, so a pasted mistake is easy to spot.
No. This calculator runs 100% in your browser and nothing you paste is uploaded, saved or analysed on a server. Your lists stay on your device, which is why the tool also works offline once the page has loaded.
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