Posted by **StuartKess** on Wednesday, August 10, 2011 at 4:47am.

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

- Math -
**drwls**, Wednesday, August 10, 2011 at 5:52am
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

- Math -
**Clover**, Wednesday, August 10, 2011 at 3:51pm
I agree with drwls

- Math -
**StuartKess**, Friday, August 12, 2011 at 2:14am
THANKS ! :D

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