Scatter Plots & Data Analysis Online Practice

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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.

What ordered pair is the outlier?

(1 point)
Responses

(3,97)
left parenthesis 3 comma 97 right parenthesis

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

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

(1,80)

1 answer

To identify the outlier in the scatterplot you described, let's analyze the points:

  1. (3, 97) - This point appears to fall within the range of test grades given the context of the other data points.
  2. (4.5, 97) - This point also seems to fit within the cluster of data points.
  3. (0.5, 45) - This point is notably lower in test grade compared to the other points plotted. It is distant from the densely packed cluster of points between 1 and 4.5 hours studied.
  4. (1, 80) - This point falls within the context of the other data points.

The point (0.5, 45) stands out as it is significantly lower in the test grade compared to others near it. Thus, it is considered the outlier.

The ordered pair that is the outlier is (0.5, 45).