# 8th Grade Math : Statistics

## Example Questions

### Example Question #1 : Statistics

The scatter plot provided displays a group of students' test scores versus the length of time the students spent studying for a test. Based on plot, select the answer choice with the data point that if added to the graph, would be an outlier.

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

Let's look at our answer choices:

This point is showing that a student who studied for  hours received a  on the test. If we look at our graph, we can see that the two students that spent  hours studying received scores of  and . A score of  fits in with that data; thus,  is not an outlier.

This point is showing that a student who studied for  hour received a  on the test. If we look at our graph, we can see that the two students that spent  hour studying received scores of  and . A score of  fits in with that data; thus,  is not an outlier.

This point is showing that a student who studied for  hours received a  on the test. If we look at our graph, we can see that the two students that spent  hours studying received scores of  and . A score of  fits in with that data; thus,  is not an outlier.

This point is showing that a student who studied for  hours received a  on the test. If we look at our graph, we can see that the student who spent  hours studying received a score of . Also, if we look at the student who studied for  hours, that student received an . Based on this results,   would be an outlier.

### Example Question #2 : Statistics

Select the answer choice with a data set that includes an outlier.

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

has a much smaller value than the other number in the set; thus,  is an outlier.