Mathematics, 19.05.2020 03:26 ghernadez
Could the number of extracurricular activities in which a student is involved be associated with the student's grade point average (GPA)? In a local high school, a simple random sample of 200 students was selected. Data was collected on each individual's GPA and the number of extracurricular activities they were involved in. The data was then presented in the frequency table:
Number of Extracurricular Activities Grade Point Average Total
>3.0 <3.0
Zero 24 50 74
One 27 25 52
Two or more 57 17 74
Total 108 92 200
Part A: Calculate the proportion of students in the sample who have a GPA of more than 3.0 and are enrolled in at least one extracurricular activity and the proportion of students in the sample who have a GPA less than 3.0 and are enrolled in at least one extracurricular activity. (5 points)
Part B: The responses of the 200 students are summarized in the segmented bar graph shown.
A horizontal bar chart is shown with two bars, less than 3.0 and greater than 3.0; separated into three sections, Zero Activity, One Activity, Two or More Activities. Section percentages are for less than 3.0, zero activity, 54 percent; for less than 3.0, one activity, 27 percent; for less than 3.0, two or more activities, 19 percent; and for greater than 3.0, zero activity, 22 percent; for greater than 3.0, one activity, 25 percent; and greater than 3.0, two or more activities, 53 percent.
Write a few sentences summarizing what the graph reveals about the association between GPA and level of participation in extracurricular activities among the 200 students in the sample. (5 points)
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