Question : The average weight of 20 boxes of oranges is 2 kg, and the average weight of 30 boxes of mangoes is 3 kg. Find the average weight of these boxes of fruits, taken together.
Option 1: 2.6 kg
Option 2: 3.2 kg
Option 3: 1.8 kg
Option 4: 2.4 kg
Correct Answer: 2.6 kg
Solution :
Average weight = $\frac{\text{Sum of values}}{\text{Total values}}$
Total weight of oranges = 20 × 2 = 40
Total weight of Mango = 30 × 3 = 90
Total number of boxes = 30 + 20 = 50
Average weight = $\frac{90 + 40}{50}$
⇒ Average weight = $\frac{130}{50}$ = 2.6 kg
Hence, the correct answer is 2.6 kg.
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