Question

A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, "The evidence indicates that the correlation between the number of extracurricular activities a student participates in and his or her grade point average is close to 0." Which of the following is the most appropriate conclusion?

a. Students involved in many extracurricular activities tend to be students with poor grades.
b. Students with good grades tend to be students who are not involved in many extracurricular activities.
c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.
d. Students with good grades tend to be students who are involved in many extracurricular activities.
e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.

Answer 1

The most appropriate conclusion is that students involved in many extracurricular activities have an equal chance of achieving good grades as students who are not involved in many activities.

Step-by-step explanation:

The most appropriate conclusion based on the information provided is c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.

A correlation close to 0 indicates that there is no strong relationship between the number of extracurricular activities a student participates in and their grade point average. This means that the number of activities a student is involved in does not significantly impact their grades, whether they are good or bad.

Therefore, it can be concluded that students who participate in many extracurricular activities have an equal chance of achieving good grades as students who are not involved in many activities.