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
Answers
Answer:
The highest score which is removed is 32points
Step-by-step explanation:
Points to Remember:
The mean of the data is a quotient when the sum.of observations is divided by no. of observations of the given data.
Mean = Sum of the observations / No of observations
32 is answer
Short Cut Method :-
The highest individual score is given by:-
Total Points of 8 players - Total Points of 7 players
= 14.5*8 - 12*7
= 116 - 84
= 32.
As the exclusion of 1 player led to reduction in the overall Average. Hence, the score of the highest individual score can be found by solving the question as above.
Alternate method:-
The highest individual score
= 14.5 + 2.5*7
= 14.5 + 17.5
= 32
fresh air.
Divya Sharma
Answered 1 year ago
Total score of 8 players= mean score * number of players
= 14.5*8 = 116
Total score of 7 players = mean score of 7 players* number of players
= 12*7 = 84
The highest score= Total score of 8 players — Total score of 7 players
= 116 — 84
= 32.