Statistics and Probability: JEE Main 2009 Mathematics question

JEE Main 2009 · Annual, Paper 1 · Q5425

JEE Main 2009Annual, Paper 1MathematicsMediumStatistics and Probability258× since 2002

Statement - 1 : The variance of first n even natural numbers is

{{{n^2} - 1} \over 4}

Statement - 2 : The sum of first n natural numbers is

{{n\left( {n + 1} \right)} \over 2}

and the sum of squares of first n natural numbers is

{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 6}

JEE Main 2009 · Annual, Paper 1 · Q5425

JEE Main 2009Annual, Paper 1MathematicsMediumStatistics and Probability258× since 2002

Statement - 1 : The variance of first n even natural numbers is

{{{n^2} - 1} \over 4}

Statement - 2 : The sum of first n natural numbers is

{{n\left( {n + 1} \right)} \over 2}

and the sum of squares of first n natural numbers is

{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 6}

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