JEE Main 2013 — Statistics Question with Solution
From: JEE Main 2013 (Offline)
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: C
Correct answer
Cvariance
Step-by-step explanation
As we know variance does not change with the change of origin. So, here even after adding grace marks , the variance will be same.
Let's see with an example,
Assume initial variance
After adding grace marks with each student,
the final variance
Initial variance.
Let's see with an example,
Assume initial variance
After adding grace marks with each student,
the final variance
Initial variance.
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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.