Math

Mean, Median, Mode, Range Calculator

Compare the mean, median, mode and range of a list of numbers. The mean uses every value, the median describes the middle, the mode finds repeated values and the range spans the extremes.

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Your inputs

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Your result

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Using the Mean, Median, Mode, Range Calculator

A dataset can have several modes or no repeated value at all. The calculator reports tied modes rather than picking one arbitrarily. Sorting happens internally, so you do not need to enter observations in order.

Worked example

Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.

Example inputs

Numbers, separated by commas
2, 4, 4, 6, 9

Example result

Count
5
Sum
25
Mean
5
Median
4
Mode
4
Range
7
Population standard deviation
2.3664319

Method and assumptions

The mean is sum/count; the median is the middle sorted value; all equally frequent repeated modes are reported.

Check what the data represents

A statistical result is only meaningful in relation to the observations and assumptions behind it. Keep track of whether values describe a whole population or a sample, whether observations are independent, and which distribution the method uses. More decimal places cannot compensate for a sample that does not represent the question you are trying to answer.

Common question

Which average should I use for a skewed dataset?

There is no universal choice. The median often describes a typical observation when extreme values pull the mean, while the mean remains useful for totals and further arithmetic.