Question $9.$ We consider a synthetic $1-$dimensional

dataset with the following $N=5$ observations:

$x=\left[\begin{array}{c}2\\ 5\\ 8\\ 12\\ 13\end{array}\right]$

Suppose we want to perform $K-$means clustering with

$K=2$ centroids. The centroids are initialized at

locations ${}_1=4$ and ${}_2=10.$ What will be the

total cost $($sum of squared distances$),E,$ after the first

iteration of $K-$means?