Part a)
The process of finding the mean has us add up all the numbers in the set, then dividing by the number of numbers.
For example, the mean of the set {1,2,6} is (1+2+6)/3 = 9/3 = 3
Let S = total number of points at the end of 11 games
Dividing S over 11 will get us the mean of 33 points per game
The idea is to solve for S.
S/11 = 33
S = 11*33
S = 363
We don't know the individual point values for any given game, but we do know that the 11 scores add to 363.
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Part b)
ppg = points per game
The mean ppg through 11 games is 33 ppg.
We're told that "At the end of 10 games, their mean score was 2 points higher." which tells us at the end of 10 games, they must have scored 33+2 = 35 ppg
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Part c)
We'll use the result of part b) and follow the same idea mentioned in part a)
R = sum of the points through 10 games
R/10 = mean ppg through 10 games
R/10 = 35
R = 10*35
R = 350
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Part d)
The answer to part a) was that the team scored a combined 363 points through 11 games. Then in part c), we found that the team scored a combined 350 points through 10 games.
Therefore, the team scored 363-350 = 13 points in their 11th game.