The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.5 kg. Find the average weight of all the boys in the class.

Question

In an office with 8 employees, the average rating of all employees is 30. The average rating of the top five employees is 38, and the average rating of the bottom three employees is 25. Which of the following is not possible?

Answer 1

Step 1: Understanding the Concept:
The weighted average is calculated by dividing the total sum of weights by the total number of students.
Step 2: Detailed Explanation:
1. Total weight of 16 boys = $16 \times 50.25 = 804$ kgs. 2. Total weight of 8 boys = $8 \times 45.15 = 361.2$ kgs. 3. Total number of boys = $16 + 8 = 24$.
Step 3: Calculation:
Total combined weight = $804 + 361.2 = 1165.2$ kgs. Average weight = $1165.2 / 24 = 48.55$ kgs.
Step 4: Final Answer:
The average weight of all the boys is 48.55 kgs. Thus, the correct option is (c).

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.5 kg. Find the average weight of all the boys in the class.

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The Correct Option is C

Solution and Explanation

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