Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13



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Mean, Median, Mode, and Range Purplemath

mean: 

10.5

median: 

10.5

modes: 

10

 and 

11

range: 

5

As you can see, it is possible for two of the averages (the mean and the median, in this case) to have the

same value. But this is not usual, and you should not expect it.

Note: Depending on your text or your instructor, the above data set may be viewed as having no mode rather

than having two modes, because no single solitary number was repeated more often than any other. I've

seen books that go either way on this; there doesn't seem to be a consensus on the "right" definition of

"mode" in the above case. So if you're not certain how you should answer the "mode" part of the above

example, ask your instructor before the next test.

About the only hard part of finding the mean, median, and mode is keeping straight which "average" is

which. Just remember the following:




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