Question

identifying a cluster from a table
which best describes the data in the table?
there are no outliers, but there is a cluster.
there is a cluster and outliers.
there are no clusters or outliers.
there are no clusters, but there are outliers.

Explanation:

Looking at the \(x\) values \(2.1,2.5,2.7,3.1,3.4,3.9,4.2\) and \(y\) values \(30,36,34,38,39,42,41\). The data points are relatively close together in terms of their distribution. There is no data point that is extremely separated from the rest (no outlier). And since the data points are grouped in a certain region (as the \(x\) and \(y\) values do not have a large spread where one point is far - off from the others), there is a cluster.

Answer:

There are no outliers, but there is a cluster.