JEE Main 2013MathematicsStatisticsEasyMCQ

JEE Main 2013Statistics Question with Solution

JEE Main 2013 (07 Apr)

Question

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?

Choose an option

Show full solutionCorrect option: B
Correct answer
Bvariance

Step-by-step explanation

As we know that with the change in origin, the variance does not change.

Therefore, variance does not change even after giving grace marks of 10 to each of the students.

Whereas, mean, mode and median changes upon changing the origin.

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About this question

This is a previous-year question from JEE Main 2013, 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.