The S.D. of 5 scores 1, 2, 3, 4, 5 is - Vidyadip

MCQ

The $S.D.$ of $5$ scores $1, 2, 3, 4, 5$ is

A
$\frac{2}{5}$
B
$\frac{3}{5}$
✓
$\sqrt 2 $
D
$\sqrt 3 $

✓

Answer

Correct option: C.

$\sqrt 2 $

c
(c) Mean $\bar x = \frac{{1 + 2 + 3 + 4 + 5}}{5} = 3$

$S.D.$ = $\sigma $ = $\sqrt {\frac{1}{n}\sum {x_i^2 - (\bar x} {)^2}} $

=$\sqrt {\frac{1}{5}(1 + 4 + 9 + 16 + 25) - 9} $=$\sqrt {11 - 9} = \sqrt 2 $.

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