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13.Statistics
medium
Let $\mathrm{n}$ 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 ..... .
A
$12$
B
$13$
C
$23$
D
$26$
(JEE MAIN-2021)
Solution
$\frac{\mathrm{n}^{2}-1}{12}=14 \Rightarrow \mathrm{n}=13$
Standard 11
Mathematics