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Q. The Standard Deviation of the numbers $31,32,33 \ldots \ldots \ldots \ldots .46,47$ is

KCETKCET 2021Statistics

Solution:

S.D. $=\sqrt{\frac{ n ^{2}-1}{12}}( n =17)$
$=\sqrt{\frac{17^{2}-1}{12}}$
$=2 \sqrt{6}$