Scatter Plots Quick Check

Question

3 of 53 of 5 Items

Question
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

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

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

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

(4.5,97)

Answer 1

In the given scatterplot, the point (0.5, 45) stands out as the outlier.

Here's why:

• The points (1, 78), (2.5, 87), and (4.5, 97) are all clustered within a higher range of test grades (from about 78 to 97) for hours studied between 1 and 4.5.
• In contrast, the point (0.5, 45) has a considerably lower test grade despite the relatively few hours studied. This indicates a discontinuity compared to the other points, making it the outlier.

Therefore, the outlier is (0.5, 45).