Q. In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?
(a) It increases.
(b) It decreases.
(c) It remains the same.
(d) No conclusion can be drawn due to insufficient data.
Correct Answer: (c) It remains the same.
Question from UPSC Prelims 2020 CSAT Paper
Explanation :
In a class there are three groups a b and c ….
1. Average weight = Total weight ÷ Number of students
2. When students are shifted between groups:
– Total weight of all students remains the same
– Total number of students remains the same
– Students are just reorganized within the same class
Example:
Let’s say in a class of 40 students:
– Total weight = 2000 kg
– Average weight = 2000 ÷ 40 = 50 kg
If students are divided into 2 groups:
– Whether 20-20 students
– Or 15-25 students
– Or any other combination
The class average will still be 50 kg because:
– Total weight is still 2000 kg
– Number of students is still 40
Therefore, shifting students between groups within the same class doesn’t affect the overall average weight.