$($K$-$Means Clustering$)$

Perform one iteration of $k-$means on the $1D$ dataset $x=\{2,4,7,9\}$ with $k=2$ and initial centers at $c_1=0$ and $c_2=10$

using Manhattan distance.

$5\mathrm{.}1$ Show initial cluster assignments

$5\mathrm{.}2$ Show the new resulting cluster centers.