Find the standard deviation of 2,3,8,10 and 12
A
3.9
B
4.9
C
5.9
D
6.9
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} x & (x - \varkappa) & (x - \varkappa)^2 \\ \hline 2 & -5 & 25 \\ \hline 3 & -4 & 16 \\ \hline 8 & 1 & 1 \\ \hline 10 & 3 & 9 \\ \hline 12 & 5 & 25 \\ \hline & & 76
\end{array}\)
S.D = \(\sqrt{\frac{(x - \varkappa)^2}{n}}\)
S.D = \(\sqrt{\frac{76}{5}}\)
S.D = 3.9
Source: Myschool Past Questions Archive (Record #27381)