Question:
There are two sections A and B of a class, consisting of 35 and 45 students respectively. If the average weight of all the students of section A is 38 kg and that of all the students of section B is 42 kg, then what is the average weight of all the students in both the sections together?
There are two sections A and B of a class, consisting of 35 and 45 students respectively. If the average weight of all the students of section A is 38 kg and that of all the students of section B is 42 kg, then what is the average weight of all the students in both the sections together?
Updated On: Mar 5, 2025
- 38.75kg
- 39.25kg
- 39.75 kg
- 40.25kg
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The Correct Option is D
Solution and Explanation
Step 1: Use the weighted average formula:
- Average weight = (Number of students × Average weight) ÷ Total number of students
Step 2: Compute the total weight for each section:
- Total weight of section A = 35 × 38 = 1330 kg
- Total weight of section B = 45 × 42 = 1890 kg
Step 3: Compute the overall average weight:
- Total weight = 1330 + 1890 = 3220 kg
- Total students = 35 + 45 = 80
- Average weight = 3220 ÷ 80 = 40.25 kg
Final Conclusion: The correct answer is (D) 40.25 kg.
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