Mean, Median, Mode Calculator

Find the mean, median, mode and range of a list of numbers at once — the three common averages plus the spread — with the working for each shown.

Mean (average) —
Median —
Mode —
Range —
Count (n) —
Sum —

How to Find the Mean, Median and Mode

Enter a list of numbers to get all three averages and the range together.

1

Enter the data set

Type your numbers separated by commas, spaces or new lines, like 4, 8, 15, 16, 16, 23, 42. Whole numbers and decimals are both fine.

2

The calculator finds each average

The mean is the sum divided by the count, the median is the middle value once sorted, and the mode is the most frequent value (there can be more than one, or none).

3

Read the results and steps

Each average appears with its own working below, along with the range, count and sum. Just need the plain average? Use the Average Calculator. Measuring spread instead? Try the Standard Deviation Calculator.

Frequently Asked Questions

What are the mean, median and mode?
The mean, median and mode are the three common measures of a typical value in a data set. The mean is the arithmetic average: add the numbers and divide by how many there are. The median is the middle value once the numbers are sorted, or the average of the two middle values when the count is even. The mode is the value that appears most often. For 2, 3, 3, 10 the mean is 4.5, the median is 3 and the mode is 3.
How do you find the median of an even number of values?
Sort the numbers and take the two middle values, then average them. For example, in 1, 2, 3, 4 the two middle numbers are 2 and 3, so the median is 2.5. With an odd count, the median is simply the single middle value after sorting.
Can a data set have more than one mode, or no mode?
A data set can certainly have several modes, or none at all. If two or more values tie for the highest frequency the data is multimodal, so 1, 1, 2, 2, 3 has modes 1 and 2. If every value appears exactly once, as in 4, 7, 9, there is no mode. This calculator lists every mode when there is a tie and says so explicitly when there is none.
What is the range?
The range is the difference between the largest and smallest values in the data set. It is the simplest measure of spread: a larger range means the values are more spread out. For a fuller picture of spread, the standard deviation and variance take every value into account.