JEE Main 2016MathematicsStatisticsEasyMCQ

JEE Main 2016 — Statistics Question with Solution

JEE Main 2016 (09 Apr Online)

Question

If the mean deviation of the numbers 1, 1+d,…, 1+100d from their mean is 255, then a value of d is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A10.1

Step-by-step explanation

Mean x-=11011+1+d+1+2d….1+100d

=1101 ×1012 1+1+100d=1+50d

Mean deviation from mean

=11011-1+50d+1+d-1+50d….1+100d-1+50d

=2d101 1+2+3….+50

=2d101 50 50+12

=2550101d=255 

⇒d=10.1

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About this question

This is a previous-year question from JEE Main 2016, 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.