Question on: JAMB Mathematics - 2014
Find the standard deviation of 5, 4, 3, 2, 1
A
\(\sqrt{2}\)
B
\(\sqrt{3}\)
C
\(\sqrt{6}\)
D
\(\sqrt{10}\)
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Correct Option: A
Mean x = (\frac{\sum x}{n})
( = \frac{5 + 4 + 3 + 2 + 1}{5})
( = \frac{15}{5})
= 3
(\begin{array}{c|c}
x & d = x - 3 & d^2 \
\hline
5 & 2 & 4 \
4 & 1 & 1 \
3 & 0 & 0 \
2 & -1 & 1 \
1 & -2 & 4 \
\hline
& & \sum d^2 + 10
\end{array})
Hence, standard deviation;
( = \sqrt{\frac{\sum d^2}{n}} = \sqrt{\frac{10}{5}})
( = \sqrt{2})
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