The sum of squares of a population is given by
[tex]SS=\Sigma(x-\bar{x})^2[/tex]
and the standard deviation is given by
[tex]SX= \sqrt{ \frac{\Sigma(x-\bar{x})^2}{n-1} } [/tex]
Given that SX = 12, i.e.
[tex]\sqrt{ \frac{\Sigma(x-\bar{x})^2}{6-1} }=12 \\ \\ \Rightarrow \frac{\Sigma(x-\bar{x})^2}{5}=12^2=144 \\ \\ \Rightarrow\Sigma(x-\bar{x})^2=144\times5=720[/tex]
Therefore, SS = 720
