The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score? A.20 B.24 C.32 D.36

Declan Whitehead

Declan Whitehead

Answered question

2023-02-04

The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
A20
B24
C32
D36

Answer & Explanation

Amelia Walsh

Amelia Walsh

Beginner2023-02-05Added 11 answers

Explanation for correct option:
It is given that the mean score of 8 players is 14.5 points and mean score of remaining 7 players is 12 points.
Let the highest score be x and the sum of rest of the scores of seven players be y.
Since mean is the ratio of the total number of observations to the sum of all the observations,
Then, mean score of 8 players is x+y8=14.5 ...i
And mean score of remaining 7 players is y7=12
y=84 ...ii
Using ii in i, we get;x+848=14.5
x+84=14.58
x+84=116
x=116-84
x=32
Hence, the correct option is (C).

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