Which consumers are assigned to the cluster defined by centroid 2?

Which consumers are assigned to the cluster defined by centroid 2?

• A. A, E
• B. C, F
• C. B, G
• D. D, H

Answer: (A)

In cluster analysis, a centroid represents the central point of a cluster, serving as a reference for assigning data points (consumers, in this case) to the nearest cluster. When consumers are grouped into clusters based on their characteristics or behaviors, each consumer is assigned to the cluster whose centroid is closest to them, typically measured using a distance metric such as Euclidean distance. The correct choice indicates that consumers A and E are the closest to centroid 2. This means that the data characteristics of consumers A and E align more closely (in terms of the distance metric used) with those represented by centroid 2 compared to the other consumers in the options. The assessment of which consumers belong to a specific cluster is determined by the proximity of each consumer’s data point to the centroid of that cluster. So, if A and E are indeed the closest to centroid 2, it confirms that they share more similar attributes or behaviors than the other consumer pairs listed. This indicates that cluster analysis effectively categorizes consumers based on patterns identified in the data, allowing businesses to tailor strategies for distinct groups.

In cluster analysis, a centroid represents the central point of a cluster, serving as a reference for assigning data points (consumers, in this case) to the nearest cluster. When consumers are grouped into clusters based on their characteristics or behaviors, each consumer is assigned to the cluster whose centroid is closest to them, typically measured using a distance metric such as Euclidean distance.

The correct choice indicates that consumers A and E are the closest to centroid 2. This means that the data characteristics of consumers A and E align more closely (in terms of the distance metric used) with those represented by centroid 2 compared to the other consumers in the options.

The assessment of which consumers belong to a specific cluster is determined by the proximity of each consumer’s data point to the centroid of that cluster. So, if A and E are indeed the closest to centroid 2, it confirms that they share more similar attributes or behaviors than the other consumer pairs listed. This indicates that cluster analysis effectively categorizes consumers based on patterns identified in the data, allowing businesses to tailor strategies for distinct groups.