JEE Main 2017MathematicsStatisticsEasyMCQ

JEE Main 2017 — Statistics Question with Solution

JEE Main 2017 (08 Apr Online)

Question

The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is

Choose an option

Show full solutionCorrect option: A
Correct answer
A35

Step-by-step explanation

Mean age can be calculated as

x-=x1+x2+…x2525=40

⇒ x1+x2+…+x25=1000

Let age of new teacher be A, then

1000-60+A=39×25=975

⇒ A=975-940=35

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Statistics chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2017, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.