JEE Main 2014MathematicsStatisticsEasyMCQ

JEE Main 2014 — Statistics Question with Solution

JEE Main 2014 (09 Apr Online)

Question

In a set of 2n distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations :

Choose an option

Show full solutionCorrect option: B
Correct answer
BIncreases by 1 .

Step-by-step explanation

New mean=nΣxi+5n+nΣyi-3n2n

=nΣxi+nΣyi2n+2n2n

=old mean +2n2n

=old mean+1

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About this question

This is a previous-year question from JEE Main 2014, 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.