QUESTION $3$

Questions $3-5$ are based on the following information.

units of $$10.$

A $(1,6),$ B $(8,9),$ C $(7,6),$ D $(7,7),$ E $(1,2),$ F $(4,3),$ G $(8,6),$ H $(9,7)$

Your manag BSAN$-160-130-$ WI $23-24$ cluster analysis on the data using the method of k$-$means.

three centroids.

Centroid $1$: $(8\mathrm{.}50,8\mathrm{.}00)$

Centroid $2$: $(1\mathrm{.}00,6\mathrm{.}00)$

Centroid $3$: $(5\mathrm{.}40,4\mathrm{.}80)$

Question $3.$ Using the Euclidean distance measure to assign consumers to clusters, which are in the cluster defined by centroid $1?$

B$,$ C$,$ G$,$ H

B$,$ D$,$ G$,$ H

B$,$ C$,$ F$,$ G

C$,$ F$,$ G$,$ H

QUESTION $4$

Using the Euclidean distance measure to assign consumers to clusters, which are in the cluster defined by centroid $2?$

A$,$ E

A$,$ F

E$,$ F

A$,$ C

QUESTION $5$

Using the average of coordinates to define new centroids, what are the new coordinates of centroid $1?$

$(7\mathrm{.}75,7\mathrm{.}50)$

$(8\mathrm{.}00,7\mathrm{.}50)$

$(7\mathrm{.}75,7\mathrm{.}25)$

$(8\mathrm{.}00,7\mathrm{.}25)$