Question

The standard deviation is

• A. $8.944$
• B. $4.062$
• C. $3.63$
• D. $16.5$
• E. None

Answer 1

The correct option is C $3.63$

Mean of given data is $\overline{x}=\frac{3+5+12+3+2}{5}=\frac{25}{5}=5$

So standard deviation, $\sigma =\sqrt{\frac{(x-\overline{x}{)}^2}{N}}$, formula

$=\sqrt{\frac{2^2+0^2+7^2+2^2+3^2}{5}}=\sqrt{\frac{66}{5}}\approx 3.63$