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Question

A scatterplot shows the number of hours studied versus test grade.
The horizontal axis shows the number of hours studied, ranging from 0 to 10 in increments of 1. The vertical axis shows the test grade, ranging from 0 to 100 in increments of 5, starting with a jump from 0 to 35. A kink is shown on the vertical axis close to origin. A dot is plotted at 0.5 on the horizontal axis and 45 on the vertical axis. A loosely packed cluster of data plots is plotted between 1 to 4.5 on the horizontal axis and 77 and 98 on the vertical axis.

A math teacher gave a math test. Interpret the scatterplot to determine which point is the outlier.

(1 point)
Responses

(2.5,87)
left parenthesis 2.5 comma 87 right parenthesis

(0.5,45)
left parenthesis 0.5 comma 45 right parenthesis

(4.5,97)
left parenthesis 4.5 comma 97 right parenthesis

(1,78)
left parenthesis 1 comma 78 right parenthesis
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Answer 1

To identify the outlier in the scatterplot based on your description, we need to look for a point that deviates significantly from the general trend of the other data points.

From your description:

• The point at (0.5, 45) is below the cluster and shows a low test grade for only a half-hour of study, which is not aligned with the higher grades generally associated with more hours studied.
• The other points you mentioned (2.5, 87), (4.5, 97), and (1, 78) all fall within a cluster of points that are closer together and show higher test grades for the corresponding hours studied.

Given this information, the point (0.5, 45) stands out as the outlier since it is significantly lower than the other points in terms of both hours studied and test grade.

So, the outlier is (0.5, 45).