Numbers in data set, given median

Question

A data set had a median of 66, and four of the numbers in the data set are less than the median. The data set contains a total of n numbers. If n is even and none of the numbers are equal to 66, what is the value of n?

Answer 1

If 4 of the numbers are less than the median, then 4 of the numbers in the data set are more than the median. That gives us 8, which is even, and we know that there's no number at the median, so n=8.