Problem $15.$ Consider the following data set ID VALUE A $654$ B $1223$ C $54$ D $243$ E $122$ F $23$ G $34$ H $876$ I $64$ J $654$ K $45$ L $12$ Cluster the records according to VALUE data by using k$-$means clustering with k $=2.$ The distance between records with VALUE equal to x and y is given by $|$x $$ y$|.$ Create $2$ clusters via $2-$means: $($a$)$ Suppose the initial centroids are at C$1=0$ and C$2=1300.$ What points are assigned to each cetriod? $($b$)$ What would the centroids become when moved to the average of the p