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
(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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Based on the description of the scatterplot, the outlier point would be (0.5, 45).
To interpret the scatterplot and determine which point is the outlier, we can analyze the distribution of the data points.
First, let's look at the general pattern of the data points. We have a loosely packed cluster of data points between 1 to 4.5 on the horizontal axis and 77 and 98 on the vertical axis. This suggests that as the number of hours studied increases within this range, the test grade tends to increase as well.
Now, let's consider the outlier. An outlier is a data point that is significantly different from the other data points. In this case, we can see that there is a kink on the vertical axis close to the origin, which suggests a jump in test grades from 0 to 35. However, given the information provided, this is not necessarily indicative of an outlier.
To identify the outlier, we need to compare the given data points with the general pattern of the scatterplot. Among the options provided, the point (4.5, 97) seems to be significantly higher than the other data points in the cluster. This suggests that it may be the outlier.
Therefore, the answer is:
(4.5, 97)