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The average runs scored by a batsman in 23 matches is 41. In the next 10 matches, the batsman scored an average of 14 runs. Find his average runs scor
Question

The average runs scored by a batsman in 23 matches is 41. In the next 10 matches, the batsman scored an average of 14 runs. Find his average runs scored (rounded off to two decimals) in all the 33 matches.

A.

32.82

B.

34.82

C.

31.82

D.

33.82

Correct option is A

Given:

Average of first 23 matches = 41

Average of next 10 matches = 14

Total matches = 33

Find overall average.

Concept Used:

Average = Total Runs ÷ Total Matches

Solution:

Runs in first 23 matches = 23 × 41 = 943

Runs in next 10 matches = 10 × 14 = 140

Total runs in 33 matches = 943 + 140 = 1083

Overall average108333 \frac{1083}{33}  = 32.82(approx)

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