Statement $1$ : The variance of first $n$ odd natural numbers is $\frac{{{n^2} - 1}}{3}$
Statement $2$ : The sum of first $n$ odd natural number is $n^2$ and the sum of square of first $n$ odd natural numbers is $\frac{{n\left( {4{n^2} + 1} \right)}}{3}$

  • [AIEEE 2012]
  • A

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

  • B

    Statement $1$ is true, Statement $2$ is true;
    Statement $2$ is not a correct explanation for Statement $1$.

  • C

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

  • D

    Statement $1$ is true, Statement $2$ is true,
    Statement $2$ is a correct explanation for Statement $1$.

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