Paste or type a list of numbers and get all three averages at once, along with the total, the count and the range. Commas, spaces and new lines all work as separators, so a column copied straight out of a spreadsheet goes in as it is.
Key terms
- Mean — add everything up and divide by how many there are. What most people mean by “average”.
- Median — line the numbers up in order and take the middle one. With an even count, the midpoint of the middle two.
- Mode — the value that appears most often. A list can have none, one, or several.
How it works
The three averages
mean = sum ÷ count · median = the middle value in order · mode = the most frequent value
All three answer “what is a typical value here?” and they disagree whenever the data is lopsided — which is exactly when the question matters.
The mean is not always the average you want
Take five salaries: 30,000, 32,000, 35,000, 38,000 and 270,000. The mean is 81,000. Not one person in that list earns near it. The median is 35,000, which describes four of the five people well.
Neither number is wrong. The mean is being pulled by a single large value, which is what means do — every value gets a vote weighted by its size. The median only cares about position, so one enormous number moves it by one place rather than by 46,000.
This is why “average house price” is usually reported as a median and “average temperature” as a mean. Temperatures have no billionaires in them. When this calculator sees the mean and median pull apart by more than about a tenth, it says so underneath the result.
A list can have no mode — or several
In 1, 1, 2, 2 every value appears exactly twice. Nothing is more common than anything else, so there is no mode. Many tools print the first value anyway, which states something false about the data.
In 2, 4, 4, 8, 8, 10 both 4 and 8 appear twice while everything else appears once. That list has two modes, and picking one of them would be an arbitrary choice presented as a fact. Both are shown here.
Why a stray word stops the calculation
If the list contains something that is not a number, this calculator refuses to answer and tells you which entry it stumbled on. Skipping it quietly would give you the average of a list you did not type — and a number that looks entirely plausible, which is the dangerous kind of wrong.
How to use this calculator
- Type or paste your numbers, separated however you like.
- Read the mean and median together. If they are far apart, the median is usually the more honest summary.
- Check the count — it is the quickest way to spot a value that did not paste in.
- Use the smallest-to-largest range to sanity-check for a typo, like an extra zero.
Frequently asked questions
What is the difference between mean, median and average?
“Average” is an everyday word that usually means the mean, but the median and mode are also averages. That ambiguity is why statistics writing names the specific one. If someone quotes an average without saying which, it is nearly always the mean.
How do I find the median of an even number of values?
Sort them and take the midpoint of the two middle values. For 4, 8, 15, 16 the middle two are 8 and 15, so the median is 11.5 — a number that need not appear in the list at all.
Can a list have more than one mode?
Yes. Any number of values can tie for most common; a list with two is called bimodal. This calculator lists every tied value rather than choosing one.
What does it mean when there is no mode?
That no value occurs more often than the others — either all the values are different, or they all appear equally often. It is a real answer about the data, not a failure to calculate.
Should I use the mean or the median for salaries?
The median, almost always. Income distributions have a long tail of very high values that pulls the mean above what most people earn. That is why official statistics agencies report median income.
