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The mean age of 15 pupils in a class is 14.2 years. One n...

The mean age of 15 pupils in a class is 14.2 years. One new pupil joined the class and the mean changed to 14.1 years. Calculate the age of the new pupil.

A.

12.4 years

B.

12.6 years

C.

13.2 years

D.

14.1 years

Correct answer is B

Mean=sum of agesno of pupils

Let the sum of the ages of the 15 pupils be x and the sum of the 16 pupils be y.

x15=14.2x=14.2×15=213

y16=14.1y=14.1×16=225.6

Age of new pupil=225.6213=12.6