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

Question

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

Answer 1

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.