Question : The average number of runs scored by a batsman in 7 matches is 53 and in 9 other matches, his average is 33. What is the average number of runs scored by the batsman in 16 matches?
Option 1: 41.75
Option 2: 44.25
Option 3: 47
Option 4: 49.175
Correct Answer: 41.75
Solution :
According to the question statement:
The sum of runs in 7 matches = 7 ⨯ 53 = 371
The sum of runs in 9 matches = 9 ⨯ 33 = 297
Total runs in 16 matches = 371 + 297 = 668
So, average runs scored in 16 matches = $\frac{668} {16}$ = 41.75
Hence, the correct answer is 41.75.
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