Find the standard deviation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
-
A.
2 -
B.
3 -
C.
√10 -
D.
√11
Correct Answer: Option C
Explanation
x = (frac{sum x}{N}) = (frac{0}{11})
= 0
(begin{array}{c|c} x & (x – x) & (x – x)^2\ hline -5 & -5 & 25 \ -4 & -4 & 16\-3 & -3 & 9\ -2 & -2 & 4\ -1 & -1 & 1\ 0 & 0 & 0 \1 & 1 & 1\ 2 & 2 & 4 \ 3 & 3 & 9 \ 4 & 4 & 16\ 5 & 5 & 25 \ hline & & 110end{array})
S.D = (sqrt{frac{sum(x – x)^2}{sum f}})
= (sqrt{frac{110}{11}})
= (sqrt{10})