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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NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-2

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:

Correct Answer

Percentage Distribution: Establish a baseline group of 100 theoretical individuals. Based on the ratios, we have 20 men, 50 women, and 30 children (since 100 - ......

💡 Analysis & Explanation

Percentage Distribution ▼

Establish a baseline group of 100 theoretical individuals. Based on the ratios, we have 20 men, 50 women, and 30 children (since 100 - 20 - 50 = 30).

Weight Aggregation ▼

Calculate the total mass for each subgroup. Men's total weight = 20 * 45 = 900 kg. Women's total weight = 50 * 60 = 3000 kg. Children's total weight = 30 * 20 = 600 kg.

Total Summation ▼

The combined weight of the entire 100-person group equals 900 + 3000 + 600 = 4500 kg.

Average Formula Execution ▼

The overarching average is derived by dividing the aggregate weight by the aggregate population (4500 / 100).

Conclusion ▼

The calculated collective average evaluates to exactly 45 kg.

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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 weights are 45 kg, 60 kg and 20 kg, respectively. The average weight (in kg) of the group is: