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Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.)

Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5.

The units in the mean and standard deviation 'cancel out'-always.

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Q: What do you mean when you say that the coefficient of variation has no units?
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