Question

identifying outliers in a scatterplot
the point (4, 10) is in each scatterplot. in which one is it an outlier?

Explanation:

Step1: Understand the concept of an outlier in a scatter - plot

An outlier in a scatter - plot is a data point that is far away from the general pattern of the other data points.

Step2: Analyze each scatter - plot

• In the first scatter - plot, most of the points have \(x\) values in the range \(2 - 10\) and \(y\) values in the range \(1 - 7\). The point \((4,10)\) is far above the general pattern of the other points.
• In the second scatter - plot, the points are more spread out in both \(x\) and \(y\) directions, and \((4,10)\) does not seem to be extremely separated from the other points.
• In the third scatter - plot, the points have \(x\) values around \(2 - 8\) and \(y\) values around \(1 - 9\). The point \((4,10)\) is not extremely separated.
• In the fourth scatter - plot, the points follow a more continuous pattern, and \((4,10)\) is part of a relatively continuous distribution of points.

Answer:

The first scatter - plot.