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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, 50 kg and 50 kg, respectively. The average weight (in kg) of the group is:​

A.

51

B.

50

C.

48

D.

49

Correct option is D

Given:

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

Average weights: Men = 45 kg, Women = 50 kg, Children = 50 kg

Formula Used:

Weighted average =(proportion×average weight)\sum (\text{proportion} \times \text{average weight})​​

Solution:
Average=(0.20×45)+(0.50×50)+(0.30×50)\text{Average} = (0.20\times 45) + (0.50\times 50) + (0.30\times 50)​​
= 9 + 25 + 15 = 49 kg

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