Question

which scatterplots have clusters? check all that apply.

Explanation:

Define clusters in scatterplots

A cluster in a scatterplot is a distinct group of data points that are packed closely together, separated from the rest of the data.

Analyze each scatterplot option

• First plot: The points are widely and randomly scattered across the entire grid with no distinct, dense groupings.
• Second plot: There is a clear, dense grouping of many points concentrated in the bottom-right region, showing a distinct cluster.
• Third plot: There are only three highly isolated points spread far apart, with no groupings.
• Fourth plot: Most points are grouped closely together in a central diagonal band, representing a distinct cluster, while two points are isolated on the left and top-right.

Identify the correct plots

The second and fourth scatterplots contain distinct clusters of data points.

Answer:

• (A) First plot: scattered points with no distinct groupings
• (B) Second plot: a dense group of points clustered in the bottom-right (Correct answer)
• (C) Third plot: isolated points with no groupings
• (D) Fourth plot: a dense group of points clustered along a central diagonal trend (Correct answer)