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Find the standard deviation of 2,3,8,10 and 12


Question

Find the standard deviation of 2,3,8,10 and 12

Options

A) 3.9

B) 4.9

C) 5.9

D) 6.9

The correct answer is A.

Explanation:

\(\begin{array}{c|c} x & (x - \varkappa) & (x - \varkappa)^2 \\ \hline 2 & -5 & 25 \\ \hline 3 & -4 & 16 \\ \hline 8 & 1 & 1 \\ \hline 10 & 3 & 9 \\ \hline 12 & 5 & 25 \\ \hline & & 76
\end{array}\)
S.D = \(\sqrt{\frac{(x - \varkappa)^2}{n}}\)
S.D = \(\sqrt{\frac{76}{5}}\)
S.D = 3.9

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Dicussion (1)

  • \(\begin{array}{c|c} x & (x - \varkappa) & (x - \varkappa)^2 \\ \hline 2 & -5 & 25 \\ \hline 3 & -4 & 16 \\ \hline 8 & 1 & 1 \\ \hline 10 & 3 & 9 \\ \hline 12 & 5 & 25 \\ \hline & & 76
    \end{array}\)
    S.D = \(\sqrt{\frac{(x - \varkappa)^2}{n}}\)
    S.D = \(\sqrt{\frac{76}{5}}\)
    S.D = 3.9