Question

The standard deviation of the data $6,7,8,9,10$ is

• A. 2
• B. 10
• C. $\sqrt{2}$
• D. $\sqrt{10}$

Answer 1

Answer: (C)

Mean $\bar{x}=\frac{6+7+8+9+10}{5}=8$
Variance ${\sigma }^2=\frac{1}{n}\in {\left(x_i-\bar{x}\right)}^2=2$
$\Rightarrow \sigma =\sqrt{2}=S.D$