# Given a set of numbers, what mathematical name is given to the most frequent number

Assume a set of numbers {0,1,2,3,4,4,4,4,4,5,6,7,8,9}

What mathematical name is given to the number that most frequently occurs?

For example, if I was to count the number of occurrences for each number in the above set, I would note every number occurring once except 4 which occurs 5 times.

Thanks

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A ${\it set}$ contains each of its members exactly once. What you have given is a ${\it multiset}$ where each occurring member has a certain multiplicity, but order is not relevant, or an ${\it array}$ when order is relevant. –  Christian Blatter Apr 26 '11 at 14:03

This is called the mode of the set.

Since you tagged your question "mathematica", I will also mention that the mode is implemented in Mathematica as the Commonest command.

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