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Solve the following question and mark the best possible option.
There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.
If one student from group A is shifted to group B, which of the following will be true?
  • a)
    The average weight of both groups increases
  • b)
    The average weight of both the groups decreases
  • c)
    The average weight of the class remains the same
  • d)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Solve the following question and mark the best possible option.There a...
Although one student is shifted from group A to group B, the number of students in the class and the total weight of the students remain the same.
Therefore, the average weight of the class remains the same.
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Most Upvoted Answer
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**Solution:**

Let's consider the weight of the students as a factor to determine the average weight of the groups.

Given:
- Total number of students = 60
- Group A has 15 students
- Group B has 20 students
- Group C has 25 students

We need to determine the effect of shifting one student from group A to group B on the average weight of the groups and the overall average weight of the class.

**1. Calculate the initial average weights:**

- Average weight of group A = Sum of weights of group A / Number of students in group A = A1
- Average weight of group B = Sum of weights of group B / Number of students in group B = B1
- Average weight of group C = Sum of weights of group C / Number of students in group C = C1
- Average weight of the class = Sum of weights of all students / Total number of students = Class1

**2. Calculate the new average weights after shifting one student:**

- Average weight of group A after shifting = (Sum of weights of group A - weight of the shifted student) / (Number of students in group A - 1) = A2
- Average weight of group B after shifting = (Sum of weights of group B + weight of the shifted student) / (Number of students in group B + 1) = B2
- Average weight of group C remains the same as the student was shifted from group A to group B.
- Average weight of the class remains the same as the total weight of the class remains unchanged.

**3. Comparing the initial and new average weights:**

- If A2 > A1 and B2 > B1, then option (a) is correct (average weight of both groups increases).
- If A2 < a1="" and="" b2="" />< b1,="" then="" option="" (b)="" is="" correct="" (average="" weight="" of="" both="" groups="" />
- If A2 = A1 and B2 = B1, then option (c) is correct (average weight of the class remains the same).
- If none of the above conditions are satisfied, then option (d) is correct (cannot be determined).

Since the student was shifted from group A to group B, there is no change in the average weight of the class. Therefore, the correct answer is option (c) - the average weight of the class remains the same.
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Community Answer
Solve the following question and mark the best possible option.There a...
The Average weight of the group may vary. But average weight of the class wouldn't change as no students are added or removed from the class.
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Solve the following question and mark the best possible option.There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.If one student from group A is shifted to group B, which of the following will be true?a)The average weight of both groups increasesb)The average weight of both the groups decreasesc)The average weight of the class remains the samed)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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