Mean, Median & Mode Calculator

Mean, median, mode and range of a list of numbers in one go.

Mean, Median & Mode Calculator

Example: 4, 8, 8, 15, 16, 23
Worked example result
Mean2.40
Median2.00
Mode2
Range3.00

For 1, 2, 2, 3, 4: the mean is 12 ÷ 5 = 2.4, the median (middle value) is 2, the mode is 2 because it appears twice, and the range is 4 − 1 = 3.

Mean, median and mode are three different kinds of 'average', and each tells you something different about a data set. The mean uses every value, the median is the middle value, and the mode is the value that occurs most often.

Enter a comma-separated list to get all three plus the range (highest minus lowest). Comparing the mean and median is a quick way to spot skewed data — if they differ a lot, a few extreme values are pulling the mean around.

The formula

Mean = Sum ÷ Count · Median = middle value when sorted · Mode = most frequent value · Range = Max − Min

Worked example

For 1, 2, 2, 3, 4: the mean is 12 ÷ 5 = 2.4, the median (middle value) is 2, the mode is 2 because it appears twice, and the range is 4 − 1 = 3.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

What if no value repeats?

Then the data set has no mode, and the calculator says so. That is normal for measurements like heights, where every value may be unique.

What if two values tie for most frequent?

The data is called bimodal and both values are listed as the mode. With even more ties, all of them are shown.

Which average should I use?

Use the median when the data has outliers — house prices are the classic example. Use the mean when every value should count equally, and the mode for the most typical category or size.

Category: Math calculators