Record X$1$ X$2$ X$3$ X$4$

R$13512$

R$21425$

R$32243$

R$42314$

R$54132$

To Keep the calculations simple, for this analysis we will not rescale the data.

Consider a clustering that combines R$1$ and R$2$ as Cluster A and groups the other records as Cluster B$.$

$5.$ Compute the centroid of Cluster A$.$

$6.$ Compute the centroid of Cluster B$.$

$7.$ What is the distance between Cluster A and Cluster B if the linkage method is Centroid and Distance is measured in the Euclidean sense?

$8.$ What is the distance between Cluster A and Cluster B if the linkage method is Minimum and Distance is measured in the Manhattan sense?

$9.$ What is the average Intra$-$Cluster Distance for Cluster A$?$

$10.$ What is the average Intra$-$Cluster Distance for Cluster B$?$