Average calculator

Mean, median, mode and range of any list of numbers.

Formula Maths

Mean

Rounded for display

Median: 15
Mode: 8
Range: 38
Minimum: 4
Maximum: 42
Sum: 116
Count: 7

How it works

The mean is the sum divided by the count. The median is the middle value once the list is sorted; with an even count it is the mean of the two middle values.

The mode is the value that appears most often. If several values tie, all of them are listed; if nothing repeats there is no mode. The range is the maximum minus the minimum.

Formula

mean = (x₁ + x₂ + … + xₙ) ÷ n
median = middle value of the sorted list
range = max − min

Worked example

For 4, 8, 15, 16, 23, 42, 8: the sum is 116 and the count is 7, so the mean is 116 ÷ 7 ≈ 16.571. Sorted, the middle value is 15 (the median), 8 appears twice (the mode) and the range is 42 − 4 = 38.

Questions people ask

Which average should I use?

The mean uses every value but is pulled by outliers. The median is better for skewed data such as incomes or house prices.

Can a list have more than one mode?

Yes. 1, 1, 2, 2, 3 has two modes, 1 and 2, and is called bimodal.

Are the results rounded?

The sum and mean are calculated exactly from the numbers you typed; only the display is rounded.