Scatter Plots Quick Check

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Use the image to answer the 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

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

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

(2.5,87)
left parenthesis 2.5 comma 87 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 given scatterplot, we need to analyze the distribution of the other data points and see which one deviates significantly from this distribution.

From your description, a few key observations can be made:

1. The majority of the points are clustered between 1 and 4.5 hours studied, with test grades between 77 and 98.
2. The point (0.5, 45) is notably lower than the rest in terms of test grade compared to the amount of study time, indicating that it does not fit the general trend shown by the other points.

Given this analysis, the outlier in the scatterplot is:

(0.5, 45)

This point stands out due to its significantly lower test grade compared to the other data points plotted in the graph.