Question

which best describes the clusters in the data set? number of ripe tomatoes on each plant in the nursery there is no cluster in the data set. there is one cluster at 13, 14, and 15. there is one cluster at 12, 13, 14, and 15. there are two clusters at 13 and at 15.

Explanation:

Step1: Understand the concept of cluster

A cluster in a data - set is a group of data points that are close to each other.

Step2: Analyze the given data points

Looking at the number of ripe tomatoes on each plant:

• At \(10\), there is \(1\) data point.
• At \(11\), there is \(1\) data point.
• At \(12\), there are \(4\) data points.
• At \(13\), there are \(5\) data points.
• At \(14\), there are \(4\) data points.
• At \(15\), there are \(7\) data points.

The data points at \(13\) and \(15\) form two distinct groups (clusters) as they have a relatively large number of data points compared to \(10\), \(11\) and are separated (there is a gap in the number of data points between \(14\) and \(15\) in terms of density when compared to the concentration at \(13\) and \(15\) separately).

Answer:

There are two clusters at 13 and at 15.