This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations.

Amanda Boleyn, an entrepreneur who recently sold her start$-$up for a multi$-$million$-$dollar sum, is looking for alternate investments for her newfourd fortune. She is considering an generates summaries for $k=2,3,$ and $4.$

Sum of WithinsS Over Number of Clustersk$=2$

$\backslash$table$[[,$Inter$-$Cluster Distances$],[,$Cluster $1,$Cluster $2],[$Cluster $1,0,5\mathrm{.}69],[$Cluster $2,5\mathrm{.}69,0]]$

$\backslash$table$[[,$Within$-$Cluster Summary$],[,$Size,Average Distance$],[$Cluster $1,87,4\mathrm{.}003],[$Cluster $2,91,4\mathrm{.}260],[$Total$,178,4\mathrm{.}134]]$

$k=3$

$\backslash$table$[[,$Inter$-$Cluster Distances$],[,$Cluster $1,$Cluster $2,$Cluster $3],[$Cluster $1,0,5\mathrm{.}247,6\mathrm{.}278],[$Cluster $2,5\mathrm{.}247,0,5\mathrm{.}532],[$Cluster $3,6\mathrm{.}278,5\mathrm{.}532,0]]$

$\backslash$table$[[,$Within$-$Cluster Summary$],[,$dots,dots