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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

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

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

To identify the outlier in the scatterplot, we need to analyze the given points in relation to the overall pattern of the data.

  1. (0.5, 45): This point shows low hours studied (0.5) and a significantly lower test grade (45). It is separate from the other data points which cluster much higher in grade for similar or slightly higher hours studied.

  2. (1, 78): This point has low hours studied (1) but still shows a reasonable test grade (78), which aligns better with the main cluster of points.

  3. (2.5, 87): This point shows a moderate number of hours studied (2.5) and a high corresponding grade (87), which is within the cluster.

  4. (4.5, 97): This point has a high number of hours studied (4.5) and a high test grade (97), which also matches the pattern of the other points in the main cluster.

Given this assessment, the point (0.5, 45) is the outlier because it does not fit the pattern of higher grades for relatively low hours studied that is observed in the other plotted points.

Thus, the response is: (0.5, 45).