Jambmaths question:
Calculate the standard deviation of 5, 4, 3, 2 and 1
Option A:
$\sqrt{3}$
Option B:
$\sqrt{6}$
Option C:
$\sqrt{10}$
Option D:
$\sqrt{2}$
Jamb Maths Solution:
$\begin{align} & \text{mean }\overline{x}=\frac{5+4+3+2+1}{5}=3 \\ & variance=\frac{{{(5-3)}^{2}}+{{(4-3)}^{2}}+{{(3-3)}^{2}}+{{(2-3)}^{2}}+{{(1-3)}^{2}}}{5} \\ & variance=\frac{4+1+0+1+4}{5}=2 \\ & standard deviation\text{ =}\sqrt{variance}=\sqrt{2} \\\end{align}$
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