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Given that the mean of the scores 15 21 17 26 1... - WAEC Mathematics 2012 Question

Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores

A
\(\sqrt{10}\)
B
4
C
5
D
\(\sqrt{30}\)
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Correct Option: C

(\begin{array}{c|c} x & x - x & (x - \bar{x})^2\ \hline 15 & -6 & 36\21 & 0 & 0\17 & -4 & 16\ 26 & 5 & 25 \ 18 & -3 &9 \ 29 & 8 & 64 \end{array})

(E(x - \bar{x})^2) = 150

N = 6

S.D = (\sqrt{\frac{(x - x)^2}{N}})

S.D = (\sqrt{\frac{150}{6}}) = 5

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