Question

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

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

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

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

(4.5,97)

Answer 1

To identify the outlier in the scatterplot, we need to look for a point that stands out significantly from the other data points based on the general trend observed in the plot.

From the description:

• The point (0.5, 45) shows an extremely low test grade (45) compared to the other points which have much higher grades. This point is noticeably low for the amount of study hours (0.5) compared to the average test grades for the hours studied between 1 and 4.5 range.
• The points (1,78), (2.5,87), and (4.5,97) all show grades that are more consistent with the trend that higher study hours correlate to higher test grades.

Thus, the outlier in this context is:

(0.5, 45)