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Q. The frequency distribution table is given here.
$x_i$ 140 145 150 155 160 165 170 175
$f_i$ 4 6 15 30 36 24 8 2

find the $S.D$.

Statistics

Solution:

$S.D. = \sqrt{\text{Varience}} $
$= \sqrt{52.7136} $
$= 7.26.$