Together they tell you more about a series of numbers that any one of them.
mean - average
median - middle number if the numbers are listed from smallest to largest
mode - most common number
If your mean and median are close to one another, the statistical distribution is usually fairly good. Likewise, if the mode is close to the mean and median, it gives more verification that the distribution is a nice bell curve. The mode is probably the least useful of the three, as it assumes that there are many repeating numbers. In many actual situations, there aren't enough repeating numbers to make the mode of any value.
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MEAN
the median and mode are but the mean is not
The median is 9 and the mode is 18 and the mean is 11
mean: 1.7 median:1.7 mode: none
Mean, median, and mode are all equal in a normal distribution.