In hierarchical clustering, the final clusters are represented using a ______________ diagram.Select one:a.Line graphb.Dendrogramc.Bar chartd.Scatter plot

Answer Breakdown

1. Identify the context: The question pertains to hierarchical clustering, a method of cluster analysis.

2. Understand the options:

   • a. Line graph: Typically used for representing data trends over a period.
   • b. Dendrogram: A tree-like diagram that visually represents the arrangement of clusters.
   • c. Bar chart: Used for comparing quantities among different groups.
   • d. Scatter plot: Displays values for typically two variables for a set of data.

Relevant Concepts

In hierarchical clustering, the relationships between data points are represented in a structure that shows how clusters are formed or merged based on their distances.

Analysis

• The dendrogram is specifically designed for this purpose, demonstrating how clusters relate to one another and at what level of similarity they group together. It provides a graphical representation of the merging process of clusters, making it easy to visualize the hierarchy.

Conclusion

The correct answer to the question is b. Dendrogram, as it is the diagram that represents the final clusters formed in hierarchical clustering.