Question: Josephine Mater works for the supply$-$chain analytics division of Trader Joe$$s$,$ a national chain of specialty grocery stores. Trader Joe$$s is considering a redesign of its supply chain. Josephine knows that Trader Joe$$s uses frequent truck shipments from its distribution centers to its retail stores. The file TraderJoes contains data on the location of

Josephine Mater works for the supply$-$chain analytics division of Trader Joe$$s$,$ a national chain of specialty grocery stores. Trader Joe$$s is considering a redesign of its supply chain. Josephine knows that Trader Joe$$s uses frequent truck shipments from its distribution centers to its retail stores. The file TraderJoes contains data on the location of Trader Joe$$s retail stores. To keep costs lost, retail stores are typically located near a distribution center. Normalize the values of the input variables to adjust for the different magnitudes of the variables. Josephine would like to use k$-$means clustering to estimate the location and number of Trader Joe$$s distribution centers $($information on Trader Joe$$s distribution centers is not publicly disclosed$).$

$($A$)$ Normalize the data and put in $8$ for the number of clusters and maximum number of iterations at $10.$ Answer should list the frequency in each cluster.