High School

Display the data in a dot plot.

Test Scores: 85, 82, 83, 90, 83, 82, 83, 81, 83, 84, 84, 84

Identify any clusters, peaks, or gaps in the data.

Answer :

Final answer:

The dot plot shows a cluster between 82, 83 and 84, with a peak at 83. There is a gap between the scores 85 and 90.

Explanation:

To display the data in a dot plot, we would first list the test scores in increasing order along a horizontal axis. For this data, the scores range from 81 to 90. We plot a dot above each score for each time it appears in the dataset:

81 - •
82 - ••
83 - ••••
84 - •••
85 - •
90 - •

This dot plot helps us visualize any clusters, peaks, or gaps in the data. A cluster is a group of data points closely bunched together. A peak is a value that appears more frequently than others. A gap is a space where no data points exist between range of values.

In this dataset, we can see a cluster between the scores of 82, 83 and 84. The peak or mode of this data is 83, since it appears most frequently. There is a gap between the scores 85 and 90 showing no scores were obtained between these values.

Learn more about Dot Plot here:

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