Question
Download Solution PDFThe arithmetic mean of the weights of 14 students in a class is 42 kgs. If the weight of the teacher is also included, the mean weight increases by 600 grams. Then the weight of the teacher is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The arithmetic mean of the weights of 14 students in a class is 42 kgs.
Mean weight increases by 600 grams (0.6 kgs) when the teacher's weight is included.
Formula used:
Mean = Total Weight / Number of People
Calculation:
Let the weight of the teacher be T.
Total weight of 14 students = 42 × 14 = 588 kgs
When the teacher is included, the mean weight becomes 42.6 kgs for 15 individuals.
Total weight (including teacher) = 42.6 × 15 = 639 kg
⇒ Teacher's weight (T) = Total weight (including teacher) - Total weight of 14 students
⇒ T = 639 - 588 = 51 kgs
∴ The correct answer is option (4).
Last updated on Feb 11, 2025
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