Question

The number of goals scored in a series of football matches was as follows:
No. of Goals : 1 2 3
No. of Matches: 8 8 x
a) If the mean number of goals is 2.04, find x -----> 9
b)If the modal value number of goals is 3, find the smallest possible value of x ---------> 9
c) If the median number of goals is 2, find the largest possible value of x.
As you can see I know a and b but not c. Please can you explain how you get the answer? Thanks!

Answer 1

C is 15

Answer 2

median is the number at the middle position,
since the last position of 2 goals is on the 16th(8 matches + 8 matches), means there is 15 matches 'in front' and 'behind'. therefore the ans is 15