Average Calculator

Enter a list of numbers to find the mean, median, mode and range, along with the sum and count.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Result

Mean
18
Median
15.5
Mode
none
Range
38
Sum
108
Count
6
Minimum
4
Maximum
42

What is an average?

"Average" usually means the arithmetic mean — the sum of all values divided by how many there are. But there are three common measures of a typical value: the mean, the median (the middle value) and the mode (the most frequent value). Each describes the centre of a data set in a different way, and together they give a fuller picture than any one alone.

How the averages are calculated

The mean is the sum of the values divided by the count: mean = (x₁ + x₂ + … + xₙ) / n. The median is the middle value once the numbers are sorted; with an even count it is the average of the two middle values. The mode is the value that appears most often — a set can have one mode, several, or none if every value is unique. The range is the largest value minus the smallest.

Example

For 4, 8, 15, 16, 23, 42: the sum is 108 and the count is 6, so the mean is 108 ÷ 6 = 18. Sorted, the two middle values are 15 and 16, so the median is 15.5. Every value appears once, so there is no mode. The range is 42 − 4 = 38.

All calculations happen in your browser. Nothing is sent, stored, or tracked.

Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Type your numbers separated by commas, spaces or new lines. Decimals and negatives are fine; blank entries are ignored.

The calculator returns the mean, median, mode, range, sum, count, minimum and maximum as you type.

Frequently asked questions

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 sorted, and the mode is the most frequent value. They can differ, especially when a few extreme values pull the mean.

How do you find the median of an even set of numbers?+

Sort the numbers and take the average of the two middle values. For 4, 8, 15, 16, 23, 42 the middle pair is 15 and 16, so the median is 15.5.

Can a data set have no mode?+

Yes. If every value appears the same number of times — for example, all unique — there is no mode. A set can also have more than one mode.

What is the range?+

The range is the difference between the largest and smallest values. It is a simple measure of how spread out the data is.

Does the order of the numbers matter?+

No. The mean, median, mode and range depend only on the values themselves, not the order you type them in.