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JEE Main 201226 MayOnline
Exam
JEE Main
Year
2012
Date
26 May
Mode
Online
Subject
Mathematics
Chapter
Statistics

JEE Main 2012 · 26 May · Online · Mathematics · Statistics

Statement 1: The variance of first n odd natural numbers is...

Statement 1: The variance of first nn odd natural numbers is n2−13\frac{n^2-1}{3} Statement 2: The sum of first n\mathrm{n} odd natural number is n2n^2 and the sum of square of first nn odd natural numbers is n(4n2+1)3\frac{n\left(4 n^2+1\right)}{3}.

Options

  1. AStatement 1 is true, Statement 2 is false.
  2. BStatement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
  3. CStatement 1 is false, Statement 2 is true.
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.

Correct answer

A. Statement 1 is true, Statement 2 is false.

Step-by-step solution

Statement 2 : Sum of first nn odd natural numbers is not equal to n2n^2. So, statement - 2 is false.
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