JEE Main 2014 · 6 Apr · Shift 1 · Mathematics Q87

MathematicsSingle correct+4 / -1Question 87 of 90

The variance of first 50 even natural numbers is :

437

\dfrac{437}{4}

\dfrac{833}{4}

833

Answer and worked solution

Official answer: D

The numbers $2,4,\dots,100$ are twice $1,\dots,50$ , so the variance is
$4\cdot\frac{50^2-1}{12}=4\cdot\frac{2499}{12}=833.$

JEE Main 2014 · 6 Apr · Shift 1, Mathematics question 87