Mean, Median, Mode and Range Calculator for Number Sets

Updated By Unit Conversion Plus

Enter a list of numbers to calculate four common measures used to describe a data set.

Enter your data set

Separate numbers with commas, spaces, semicolons or new lines. Repeated values should be entered each time they occur.

You can paste a row or column containing up to 10,000 values.

What are mean, median, mode and range?

These four measures describe different features of a numerical data set. The mean and median describe its centre, the mode identifies frequently occurring values, and the range describes the spread between the smallest and largest values.

How to calculate the mean

Add every value and divide the sum by the number of values: mean = sum ÷ count. For 4, 7, 7, 9 and 13, the sum is 40 and the mean is 40 ÷ 5 = 8.

How to find the median

Arrange the numbers from smallest to largest. With an odd count, the median is the middle value. With an even count, average the two middle values.

How to find the mode

The mode is the value that appears most often. A set can have one mode, several modes sharing the highest frequency, or no mode when every value occurs once.

How to calculate the range

Subtract the smallest value from the largest: range = maximum − minimum. Range gives a quick measure of spread but does not show how values are distributed between the endpoints.

Choosing the most useful measure

The mean uses every value but can be pulled by an unusually large or small observation. The median is often more representative for skewed data. The mode is useful for the most common value, while the range offers a simple view of overall spread.

Frequently asked questions

Can a data set have more than one mode?

Yes. If multiple values share the highest repeated frequency, each of them is a mode.

What happens when there is an even number of values?

The median is the mean of the two middle values after the data has been sorted.

Are mean and average the same?

Average often refers to the arithmetic mean, although the word can also be used more generally for measures of centre such as the median or mode.

Should repeated numbers be entered more than once?

Yes. Every occurrence is part of the data set and affects the mean, median, mode and frequency counts.