Let n be an odd natural

Question:

Let $n$ be an odd natural number such that the variance of $1,2,3,4, \ldots, \mathrm{n}$ is 14 . Then $\mathrm{n}$ is equal to

Solution:

$\frac{\mathrm{n}^{2}-1}{12}=14 \Rightarrow \mathrm{n}=13$

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