Question

identifying clusters, gaps, and peaks on a dot plot
runs scored per game
the dot plot shows the number of runs scored by the boys baseball team for each game last season.
which describes the data in the dot plot? select all that apply.
there are two gaps in the data.
there is a cluster between 3 and 6.
there is a cluster at 7.
there is a peak at 5.
there is a gap between 6 and 8.

Explanation:

• Gaps: A gap is an interval with no data points. In the dot - plot, there are no dots between 6 and 8 (since there are no dots at 7), so there is one gap. The statement "There are two gaps in the data" is incorrect.
• Clusters: A cluster is a group of data points that are close together. The data points at 3, 4, 5 are not a cluster between 3 and 6 (a cluster should have data points densely packed. Here, 3, 4, 5 have some separation in terms of density compared to a proper cluster definition for this context). There are no data points at 7, so "There is a cluster at 7" is incorrect.
• Peak: A peak is the value with the most data points. At 5, there are more data points (dots) than at other values, so "There is a peak at 5" is correct.
• Gap (re - examined): As mentioned, there is a gap between 6 and 8 (no data points in between).

Answer:

There is a peak at 5. There is a gap between 6 and 8.