Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Answer Details

x = $\frac{\sum x}{N}$
= $\frac{0}{11}$
= 0
$\begin{array}{ccc}x& (x-x)& (x-x{)}^2\\ -5& -5& 25\\ -4& -4& 16\\ -3& -3& 9\\ -2& -2& 4\\ -1& -1& 1\\ 0& 0& 0\\ 1& 1& 1\\ 2& 2& 4\\ 3& 3& 9\\ 4& 4& 16\\ 5& 5& 25\\ & & 110\end{array}$
S.D = $\sqrt{\frac{\sum (x-x{)}^2}{\sum f}}$
= $\sqrt{\frac{110}{11}}$
= $\sqrt{10}$