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: 

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  1. 45
  2. 44
  3. 42
  4. 43

Answer (Detailed Solution Below)

Option 1 : 45
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Given:

Men = 20%, women = 50%, children = 30%

Avg weights: men = 45 kg, women = 60 kg, children = 20 kg

Formula used:

Overall avg = \(\frac{\text{total weight}}{\text{total count}}\)

Calculations:

⇒ Assume total count = 100

⇒ Men weight = 20 × 45 = 900

⇒ Women weight = 50 × 60 = 3000

⇒ Children weight = 30 × 20 = 600

⇒ Total weight = 900 + 3000 + 600 = 4500

⇒ Overall avg = 4500 ÷ 100 = 45 kg

∴ The average weight of the group = 45 kg.

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