Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
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Correct Answer: 162
Solution :
Average height of 30 boys = 160 cm
The average height of the remaining 20 boys = 165 cm
We have to find out the average height of the whole class which is
= $\frac{30\times 160 + 20\times 165}{50}$
= $\frac{4800 + 3300}{50}$
= $\frac{8100}{50}$ = 162 cm.
Hence, the correct answer is 162 cm.
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