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

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}})

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