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“Average” usually means the arithmetic mean, but it’s really a family of measures — mean, median and mode — that can each tell a different story about the same data. This tool computes all of them in one go, plus the spread (range and standard deviation), so you see the full picture rather than a single number.
Paste or type your numbers, separated by commas, spaces or new lines. Decimals and negative values are fine.
How is it calculated?
The three "averages"
| Measure | What it is | Best when |
|---|---|---|
| Mean | Sum ÷ count | Data is fairly symmetric, no wild outliers |
| Median | The middle value when sorted | Data is skewed or has outliers |
| Mode | The most frequent value(s) | Data is categorical or you want the “typical” value |
For an even count, the median is the average of the two middle values. There can be more than one mode — or none, if every value appears once.
Why the mean can mislead
The mean is pulled toward extreme values. Incomes are the classic case: a few very high earners drag the mean above what most people actually make, so the median is the fairer “typical” figure. Whenever your data is lopsided, compare the mean and median before drawing conclusions.
Spread matters too
Two datasets can share a mean yet look completely different. The tool also reports:
| Measure | Meaning |
|---|---|
| Range | Max − min: the full span |
| Standard deviation | How far values typically sit from the mean |
A small standard deviation means the numbers cluster tightly; a large one means they’re spread out.
Worked example
Take the set 2, 4, 4, 4, 5, 5, 7, 9. The sum is 40 across 8 values, so the mean is 5. Sorted, the two middle values are 4 and 5, giving a median of 4.5. The value 4 appears most often, so the mode is 4. The range is 9 − 2 = 7, and the sample standard deviation is about 2.14. Mean, median and mode all sit close here — a sign the data is fairly balanced with no strong outlier.
FAQ
What is the difference between mean, median and mode?+
The mean is the sum divided by the count. The median is the middle value when the numbers are sorted. The mode is the value that appears most often. On skewed data they can differ a lot, which is why it helps to see all three.
When should I use the median instead of the mean?+
Use the median when your data is skewed or contains outliers — incomes, house prices, response times. The mean gets pulled toward extreme values, while the median stays at the true centre and better represents a “typical” value.
Can there be more than one mode?+
Yes. If two or more values tie for the highest frequency, the set is multimodal and all of them are modes. If every value appears exactly once there is no mode — this tool reports “none” in that case.
What does the standard deviation tell me?+
It measures spread — how far, on average, the values sit from the mean. A small standard deviation means the data is tightly clustered; a large one means it’s widely scattered. Two datasets with the same mean can have very different standard deviations.
How do I enter my numbers?+
Type or paste them separated by commas, spaces or line breaks — for example “2, 4, 4, 5, 7, 9”. Decimals and negative numbers are supported. The calculator handles anywhere from 2 up to 1,000 values.