Question:
In a class there are 30 girls and 20 boys and their average height is 160 cm. If the average height of girls is 150 cm, then the average height of boys is
In a class there are 30 girls and 20 boys and their average height is 160 cm. If the average height of girls is 150 cm, then the average height of boys is
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When group averages are given, convert everything into total sums first.
Updated On: Feb 27, 2026
- 175 cm
- 172 cm
- 170 cm
- 165 cm
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The Correct Option is A
Solution and Explanation
Concept:
Use total sum of heights method.
Explanation:
Total students = 30 + 20 = 50
Overall total height:
\[
50 \times 160 = 8000 \text{ cm}
\]
Total height of girls:
\[
30 \times 150 = 4500 \text{ cm}
\]
Total height of boys:
\[
8000 - 4500 = 3500 \text{ cm}
\]
Average height of boys:
\[
3500 \div 20 = 175 \text{ cm}
\]
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