Jambmaths question:
Find the variance of 2,6,8,6,2 and 6
Option A:
6
Option B:
5
Option C:
$\sqrt{5}$
Option D:
$\sqrt{6}$
Jamb Maths Solution:
$\begin{align} & mean=\overline{x}=\frac{2+6+8+6+2+6}{6}=\frac{30}{6}=5 \\ & variance={{\sigma }^{2}} \\ & {{\sigma }^{2}}=\frac{{{\left| 2-5 \right|}^{2}}+{{\left| 6-5 \right|}^{2}}+{{\left| 8-5 \right|}^{2}}+{{\left| 6-5 \right|}^{2}}+{{\left| 2-5 \right|}^{2}}+{{\left| 6-5 \right|}^{2}}}{6} \\ & {{\sigma }^{2}}=\frac{9+1+9+1+9+1}{6}=\frac{30}{6}=5 \\\end{align}$
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