Question : The average number of runs scored by a batsman in 7 matches is 49 and in other 9 matches, the average is 27. What are the average runs scored by the batsman in these 16 matches?
Option 1: 35.725
Option 2: 28.475
Option 3: 40.25
Option 4: 36.625
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Correct Answer: 36.625
Solution :
Average runs scored in 16 innings = $\frac{\text{Runs scored in 9 innings + Runs scored in 7 innings}}{16}$
= $\frac{9 \times 27 + 7 \times 49}{16}$
= $\frac{243 + 343}{16}$
= $\frac{586}{16}$
= 36.625
Hence, the correct answer is 36.625.
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