Use the image to answer the question.

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

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

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

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

To determine which point is the outlier in the scatterplot describing the relationship between hours studied and test grades, we need to consider the overall trend and pattern of the other points.

The majority of the points are clustered around higher test grades (77 to 98) when students have studied between 1 and 4.5 hours. However, the point (0.5, 45) stands out as it lies significantly below the other points in terms of test grade for the amount of study time.

The point (0.5, 45) is particularly noteworthy because:

• It corresponds with only 0.5 hours of study, which tends to align with lower grades.
• The test grade of 45 is much lower than the grades achieved by those who studied longer.

Thus, the outlier is:

(0.5, 45)