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
Correct Answer: 162
Solution :
Given:
The average height of 30 boys out of a class of 50 is 160 cm.
Average height of remaining boys = 165 cm
Formula Used:
$\text{Average} = \frac{\text{Sum of the heights of all the students}}{\text{Number of students}}$
Calculation:
Total height of 30 boys $= 30 \times 160 = 4800$
Total height of 20 boys $= 20 \times 165= 3300$
Average height $= \frac{4800 + 3300}{50} = 162$ cm
Hence, the correct answer is 162 cm.
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