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    A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weight
    Question

    A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 60 kg and 20 kg, respectively. The average weight (in kg) of the group is:​

    A.

    44

    B.

    45

    C.

    43

    D.

    42

    Correct option is B

    Given:

    Composition: Men = 20%, Women = 50%, Children = 30% (rest).

    Average weights: Men = 45 kg, Women = 60 kg, Children = 20 kg.

    Formula Used:

    Weighted mean =(proportion)×(group mean)\sum (\text{proportion}) \times (\text{group mean})​​

    Solution:
    Wˉ=0.20×45+0.50×60+0.30×20\bar{W}=0.20\times45 + 0.50\times60 + 0.30\times20​​
    = 9 + 30 + 6 = 45 kg

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