Find the standard deviation of 2, 3, 5 and 6

A.
√6 
B.
√10 
C.
√(frac{2}{5}) 
D.
√(frac{5}{2})
Correct Answer: Option D
Explanation
(begin{array}& x & x – bar{x} & (x – bar{x})^2 \2 & 2 & 4 \ 3 & 1 & 1 \ 5 & 1 & 1 \ 6 & 2 & 4\ hline sum x = 16 & & sum (x – bar{x}^2) = 0 end{array})
(bar{x}) = (frac{sum x }{N})
= (frac{16}{4})
= 4
S = (sqrt{frac {(x – bar{x})^2}{N}})
= (sqrt{frac {(10)}{4}})
= (sqrt{frac {(5)}{2}})