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**General Mathematics:**

The question arises, “When should we use the mode?”

The answer to this question is that the mode is a valuable concept in certain situations such as the one described below: Suppose the manager of a men’s clothing store is asked about the average size of hats sold. He will probably think not of the arithmetic or geometric mean size, or indeed the median size. It should be noted that in some

situations there may be no mode in a simple series where no value occurs more than once.

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Instead, he will in all likelihood quote that particular size that is sold most often. This average is of

far more use to him as a businessman than the arithmetic mean, geometric mean, or the median. On the other hand, sometimes a frequency distribution contains two modes in which case it is called a bi-modal distribution as shown below:

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The modal size of all clothing is the size which the businessman must stock in the greatest quantity and variety in comparison with other sizes. Indeed, in most inventory (stock level) problems, one needs the mode more often than any other measure of central tendency.