Question : The average number of runs conceded by a bowler in five matches is 45 and 15.75 in the other four matches. What is the average number of runs conceded by the bowler in nine matches?
Option 1: 15
Option 2: 32
Option 3: 35
Option 4: 53.5
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Correct Answer: 32
Solution :
Given: The average number of runs conceded in 5 matches is 45.
The average number of runs conceded in 4 matches is 15.75.
The total matches are 9.
According to the question,
The total runs conceded in 5 matches = 45 × 5 = 225
The total runs conceded in 4 matches = 15.75 × 4 = 63
The total runs conceded in 9 matches = 225 + 63 = 288
So, Average runs conceded in 9 matches = $\frac{288}{9} = 32$
Hence, the correct answer is 32.
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