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Question

Let $9=x_{1} < x_{2} < \ldots < x_{7}$ be in an A.P. with common difference d. If the standard deviation of $x_{1}, x_{2}..., x_{7}$ is 4 and the mean is $\bar{x}$, then $\bar{x}+x_{6}$ is equal to :

$2\left(9+\frac{8}{\sqrt{7}}\right)$
25
$18\left(1+\frac{1}{\sqrt{3}}\right)$
34

Solution

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