Number of goals : 0, 1,2,3,4,5

Number of matches : 7,x,5,3,1,4
(a) if the mean number is more than 2, find the largest possible value of x.
(b) if the median number of goals is 2, find the largest possible value of x

3 answers

Total # of matches: 7+x+5+3+1+4 = 20 + x
Total # of goals: 1*x + 5*2 + 3*3 + 1*4 + 4*5 = 43 + x

If x = 0, the mean per game is 43/20 = 2.15
If x = 1, mean = 2.095
If x = 2, mean = 2.045
if x = 3, mean = 2.000

The answer to a is x=2
The answer to b is x=3

I agree with drwls

THANKS ! :D