Statistics And Probability Question 79

Question: The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by $ \frac{1}{2} $ kg; the weight of the teacher is

[Kerala (Engg.) 2002]

Options:

A) 40.5 kg

B) 50 kg

C) 41 kg

D) 58 kg

Show Answer

Answer:

Correct Answer: D

Solution:

Let the weight of the teacher is w kg , then $ 40+\frac{1}{2}=\frac{35\times 40+w}{35+1} $
Þ $ 36\times 40+36\times \frac{1}{2}=35\times 40+w $ Þ $ w=58 $ \ Weight of the teacher = 58kg.