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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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