Question

(a) answer the questions below. is there a cluster from 9 to 12? ∘yes ∘no is there a gap from 7 to 8? ∘yes ∘no is the data set symmetric? ∘yes ∘no (b) fill in the blank(s). the peak of the data set is at □ miles.

Explanation:

1. For the cluster question: A cluster is a group of data points close together. The plot has most points (4 at 9, 3 at 10, 3 at 11, 1 at 12) concentrated between 9-12, so there is a cluster.
2. For the gap question: A gap is an interval with no data. There are no points between 7-8, so there is a gap.
3. For symmetry: Symmetric data has mirror-image distribution. Most data is on the right (9-12) with only one point on the left at 6, so it is not symmetric.
4. For the peak: The peak is the value with the most data points. 9 has 4 points, more than any other value.

Answer:

(a)

• Is there a cluster from 9 to 12? Yes
• Is there a gap from 7 to 8? Yes
• Is the data set symmetric? No

(b)
The peak of the data set is at 9 miles.