Question : In a class, the average weight of 4 boys is 50 kg and the average weight of 4 girls is 40 kg. What is the average weight of all the 8 students taken together?
Option 1: 44 kg
Option 2: 48 kg
Option 3: 45 kg
Option 4: 42 kg
Correct Answer: 45 kg
Solution :
Given,
Average of 4 boys = 50 kg
⇒ Sum of weight of 4 boys = 50 × 4 = 200 kg
Average of 4 girls = 40 kg
⇒ Sum of weight of 4 girls = 40 × 4 = 160 kg
Total sum of 8 students = (Sum of weight of 4 boys + Sum of weight of 4 girls) = (200 + 160) = 360 kg
⇒ Average $=\frac{\text{Sum of values}}{\text{No. of values}}=\frac{360}{8}= 45$ kg
Hence, the correct answer 45 kg.
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