Mean, Median, Mode, Range Calculator

Enter a list of numbers to get the mean, median, mode, and range together.

Four ways to summarize data

Mean, median, mode, and range each describe a data set from a different angle. The mean is the arithmetic average, the median is the middle value when the data is sorted, the mode is the value that appears most often, and the range is the distance from the smallest to the largest.

Looking at all four together is more honest than any one alone. When the mean and median diverge sharply, the data is skewed, and the mode reveals whether a single value dominates. Reading them as a set is a habit that prevents misleading conclusions.

The formula

mean = sum / count; median = middle value; mode = most frequent; range = max - min

Worked example

For 3, 7, 7, 2, 9, 7, 4: mean about 5.57, median 7, mode 7, range 7.

How to read your result

These four measures summarize a data set from different angles. The mean and median describe the center, the mode the most common value, and the range the spread.

Frequently asked questions

What if there is no mode?: If every value appears once, there is no mode.
Can there be more than one mode?: Yes, a data set with several equally frequent values is multimodal.
When is median better than mean?: When extreme values would distort the mean.

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