Q. The variance of the numbers $8,21,34,47,\ldots,320$ is

Numerical Question

This is a numerical-answer question. The correct answer is shown below.

Explanation

[Solution by Dr. Abubacker] This is an A.P. with $d=13$ and $n=\frac{320-8}{13}+1=25$ terms. The variance of an A.P. is $\frac{d^2(n^2-1)}{12}=\frac{169\times624}{12}=169\times52=8788$. Answer: 8788.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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