The 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

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Kerala PSC Common Preliminary Exam (GRADUATE LEVEL) PYP - 116/22
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  1. 64 kgs
  2. 54 kgs
  3. 62 kgs
  4. 51 kgs

Answer (Detailed Solution Below)

Option 4 : 51 kgs
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Detailed Solution

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Given:

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).

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