Question

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

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

Answer 1

Answer: (A)

Mean, $\bar{x}=\frac{6+7+8+9+10}{5}=\frac{40}{5}=8$
Standard deviation, $\sigma =\sqrt{\frac{1}{5}(4+1+0+1+4)}$
Because, $\sigma =\sqrt{\frac{1}{n}\sum (x_i-\bar{x}{)}^2}$
$\Rightarrow \sigma =\sqrt{\frac{10}{5}}=\sqrt{2}$