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If the data $x_1, x_2, \ldots, x_{10}$ is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2000; then the standard deviation of this data is:
(1) $2\sqrt{2}$ (2) 2 (3) 4 (4) $\sqrt{2}$
$\bar{x} = 14$. $\sigma^2 = 200 - 196 = 4$. $\sigma = 2$.
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