The correct answer is B
Explanation
The median of five numbers can be found by putting the numbers in increasing order and picking the middle, or third, number from the list. Putting the four numbers you know in increasing order produces the following list:
Thus, if is less than or equal to , the list of the numbers in increasing order will be
In either case, the median will be . However, if is greater than , the list of numbers in increasing order will be
or
or
In these cases, the median will be either n or 508. Since you know that the median is 456, it must be true that is less than or equal to 456. Also, since no two games had the same attendance, the number cannot be equal to 456. Therefore, the greatest possible value of n is 455.