Average Calculator

How It Works

"Average" usually means the mean: add all the numbers and divide by how many there are. But the mean is only one of three common averages. The median is the middle value once the list is sorted — with an even count, it is the average of the two middle values. The mode is the value that appears most often; if every value appears once, the list has no mode. The range, the difference between the largest and smallest values, shows how spread out the numbers are.

The median matters because the mean is pulled by outliers: in the list 4, 8, 15, 16, 23, 42, the mean is 18, but the median is 15.5 — the big value 42 drags the mean upward, while the median stays in the middle of the pack. That is why house prices are usually reported as medians, not means.

Worked example: for 4, 8, 15, 16, 23, 42 — the sum is 108 and the count is 6, so the mean is 108 / 6 = 18. The two middle values are 15 and 16, so the median is (15 + 16) / 2 = 15.5. Every value appears once, so there is no mode. The range is 42 − 4 = 38.

How to Use This Calculator

Drop your numbers into the box and every figure updates as you type.

1. Enter your numbers separated by commas, spaces or new lines. Decimals and negative numbers are fine.
2. Read the headline result — the mean — then the full table: median, mode, range, count, sum and the sorted list.
3. Fix any flagged input — the calculator names any word or symbol that slips in.

The Reset button restores the example list (4, 8, 15, 16, 23, 42) so you can start over.

Tips and Practical Advice

The right average depends on what the numbers describe.

• Use the median for skewed data. Incomes, house prices and waiting times have long tails, so the median describes a "typical" value better than the mean.
• Use the mean for totals. If you need the total — total spend, total marks, total rainfall — the mean is the one that connects: total = mean × count.
• Check the range before trusting an average. A mean of 18 from values between 4 and 42 is far less informative than the same mean from values between 17 and 19.
• Keep units consistent. Averaging centimetres with metres, or dollars with cents, gives a nonsense answer — convert everything to one unit first.

Frequently Asked Questions