JEE Main 2009 — Statistics Question with Solution
From: AIEEE 2009
Question
Statement - 1 : The variance of first n even natural numbers is
Statement - 2 : The sum of first n natural numbers is and the sum of squares of first n natural numbers is
Statement - 2 : The sum of first n natural numbers is and the sum of squares of first n natural numbers is
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement-1 is false, Statement-2 is true
Step-by-step explanation
Let first n even natural numbers = 2,4, 6, 8 ...... 2n
Sum of those num = 2 + 4 + 6 + ..... 2n
= 2 (1 + 2 + ..... n)
=
= n (n + 1)
Mean
Variance
Statement 1 is false.
Statement 2 is true as those are standard formula.
Sum of those num = 2 + 4 + 6 + ..... 2n
= 2 (1 + 2 + ..... n)
=
= n (n + 1)
Mean
Variance
Statement 1 is false.
Statement 2 is true as those are standard formula.
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 2009, 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.