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The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.
  • a)
    175 kg
  • b)
    62 kg
  • c)
    64 kg
  • d)
    72 kg
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The mean weight of a class of 34 students is 46.5 kg. If the weight of...
Given information:
- Number of students in the class = 34
- Mean weight of the students = 46.5 kg
- Increase in mean weight when teacher's weight is included = 500g

To find:
- Weight of the teacher

Mean weight calculation:
To find the mean weight of the students, we can use the formula:
Mean = Sum of all weights / Number of students

Given that the mean weight of the students is 46.5 kg and there are 34 students, we can write the equation as:
46.5 = Sum of all weights / 34

Total weight of the students:
Sum of all weights = Mean * Number of students
Sum of all weights = 46.5 kg * 34
Sum of all weights = 1581 kg

Weight including the teacher:
When the weight of the teacher is included, the mean weight increases by 500g. Therefore, the new mean weight becomes 46.5 kg + 0.5 kg = 47 kg.

New total weight:
Sum of all weights + Weight of teacher = New mean weight * Total number of students
1581 kg + Weight of teacher = 47 kg * 35 (since the teacher is also included in the count)
1581 kg + Weight of teacher = 1645 kg

Calculating the weight of the teacher:
Weight of teacher = 1645 kg - 1581 kg
Weight of teacher = 64 kg

Therefore, the weight of the teacher is 64 kg, which corresponds to option C.
Free Test
Community Answer
The mean weight of a class of 34 students is 46.5 kg. If the weight of...
It is given that,
Mean weight of 34 students = 46.5kg
So the total weight = 34 (46.5) = 1581kg
We know that,
Mean weight of 34 students and teacher = 46.5 + 0.5 = 47kg
So the total weight of 34 students and teacher = 47 (35) = 1645kg
The weight of teacher = Weight of 34 students and teacher – total weight
By substituting the values,
Weight of the teacher = 1645 – 1581 = 64kg
Therefore, the weight of the teacher is 64kg.
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The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer?
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