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Average Calculator
Work out the average of any list of numbers with this free average calculator. Paste or type your numbers — marks, prices, temperatures, scores — and you get the mean (the usual average) plus the full picture: median, mode, range, sum, count and geometric mean, with your numbers shown in sorted order so you can check everything. Built for the way India actually uses averages: class marks, batting averages, average speed and average monthly expenses.
Decimals and negative numbers are fine. Commas inside big numbers like 1,000 are read as separators — write 1000 instead if you mean one thousand.
How to use
- Type or paste your numbers in the box, separated by commas, spaces or new lines.
- Press Calculate average — results also update as you type.
- Read the mean in big type, then check the median, mode, range, sum, count and geometric mean in the grid below.
- Use the sorted list at the bottom to spot any number you typed by mistake.
Which average should you use?
| Measure | What it tells you | Best for |
|---|---|---|
| Mean | The total shared out equally | Marks, prices, temperatures — when most values are similar |
| Median | The middle value when sorted | Salaries and house prices, where a few very big values would pull the mean up |
| Mode | The value that appears most often | Shoe sizes, shirt sizes, most common score |
| Geometric mean | The typical growth multiplier | Average investment returns and growth rates over several years |
| Range | Largest minus smallest — the spread | Showing how consistent or scattered the numbers are |
How it works
When most people say "average", they mean the mean: add everything up and divide by how many numbers there are. For the numbers 10, 20, 30 and 40, the sum is 100 and the count is 4, so the mean is 100 ÷ 4 = 25. It is the fair-share value — if four friends spent 10, 20, 30 and 40 rupees on snacks and decided to split the cost evenly, each would pay 25. Every student's class average, every "average speed" on a road trip and every average monthly bill is computed exactly this way.
The median answers a different question: what is the middle value? Sort the numbers and pick the one in the centre; with an even count, average the two middle ones — for 10, 20, 30, 40 the median is (20 + 30) ÷ 2 = 25. The median matters when a few extreme values would drag the mean away from the typical case. If nine people earn ₹30,000 a month and one earns ₹3,00,000, the mean income is ₹57,000 but the median is ₹30,000 — and the median describes the group far more honestly. Newspapers switch to median for exactly this reason when they report salaries and property prices.
The mode is the value that occurs most often; a list can have one mode, several, or none at all (our sample list has none, because every number appears once). The range — largest minus smallest — measures spread, and the geometric mean is the right average for growth: if an investment grows 10% one year and 20% the next, its average yearly growth is the geometric mean of 1.10 and 1.20, which is about 14.9%, not the plain mean of 15%. This calculator works out all of them from the same list and shows the geometric mean only when every number is positive, because that is the only case where it is meaningful.
A worked habit worth copying: always glance at the sorted list before trusting an average. One mistyped zero or one extra digit changes the mean a lot — a marks list of 78, 85, 92, 88, 760 (a slip for 76) gives a mean of 220.6 instead of 83.8. The sorted line under the results makes such slips obvious, because the wrong number sits far away from the rest. Teachers calculating class averages and shopkeepers averaging daily sales use the same check, whether they do it on paper or here.
Worked example
A student scores 10, 20, 30 and 40 out of 50 in four weekly quizzes. What is the average score?
Step 1: Add the values: 10 + 20 + 30 + 40 = 100 (the sum).
Step 2: Count the values: there are 4 quizzes.
Step 3: Divide: 100 ÷ 4 = 25 (the mean).
Step 4: Check the others: sorted, the middle two are 20 and 30, so the median is also 25; no value repeats, so there is no mode; the range is 40 − 10 = 30.
The calculator opens with these exact numbers and shows mean 25, median 25, mode none, range 30, sum 100 and count 4. A second example with real school marks — 78, 85, 92, 88, 76 — gives a sum of 419 and a mean of 419 ÷ 5 = 83.8, with median 85. Try pasting those in to see the two middle-value rules change.
FAQ
How do I calculate the average of a set of numbers?
Add all the numbers together and divide by how many numbers there are. For 10, 20, 30 and 40: the sum is 100, the count is 4, and 100 divided by 4 is 25. That is the mean, which is what people usually mean by average.
What is the difference between mean and median?
The mean is the total divided by the count; the median is the middle value when the numbers are sorted. They match when the numbers are evenly spread, but the median is safer when a few very large or small values would pull the mean away from the typical case, as with salaries.
What if no number repeats — is there still a mode?
No. The mode is the value that appears most often, so if every value appears exactly once, the list has no mode and this calculator shows none. If two values tie for most frequent, both are modes.
How is a class average of marks calculated?
The same way as any mean: total marks divided by the number of students (or, for one student, the total across subjects divided by the number of subjects). A student scoring 78, 85, 92, 88 and 76 has a total of 419 over 5 subjects, so the average is 83.8.
Why does the geometric mean disappear for some lists?
The geometric mean is only defined for positive numbers, because it multiplies the values together and takes a root — a zero makes the product zero and a negative makes the root meaningless for everyday use. If your list contains 0 or a negative number, this calculator shows a note in place of the geometric mean and leaves the other results untouched.
Can this calculator handle decimals and large lists?
Yes. Decimals, negative numbers and lists of hundreds of values all work — paste the whole list in at once. The numbers can be separated by commas, spaces, semicolons or new lines, so a column copied from a spreadsheet works as it is.