Question

In the data set below, which of these points is most likely an outlier?

Answer 1

GIVEN:

We are given a set of x and y values as shown in the attached image.

Required;

To identify the point that is most likely an outlier.

Step-by-step solution;

We observe that the ordered pairs have y-values with differences as follows;

`\begin{gathered} 38-5=33 \\ \\ 9-38=-29 \\ \\ 12-9=3 \\ \\ 15-12=3 \end{gathered}`

Now we can see that the values of y have 3 units increments. However the difference between the first and second and between the second and third is much larger, which means the value 38 does not cluster around the other data points. Therefore, we can conclude that the ordered pair (4, 38) is an outlier among the entire data set.

ANSWER:

Option D is the correct answer

`(4,38)`