To find Arden's total averages for each category (quiz, lab, and exam), we’ll first list the grades she received in each category and then find the average for each one.
Grades Breakdown
-
Quizzes:
- 80
- 60
- 90
- 50
- Total Quiz Grades = 80 + 60 + 90 + 50 = 280
- Total Quiz Count = 4
- Average Quiz Grade = Total Quiz Grades / Total Quiz Count = 280 / 4 = 70
-
Labs:
- 100
- 80
- Total Lab Grades = 100 + 80 = 180
- Total Lab Count = 2
- Average Lab Grade = Total Lab Grades / Total Lab Count = 180 / 2 = 90
-
Exams:
- 100
- Total Exam Grades = 100
- Total Exam Count = 1
- Average Exam Grade = Total Exam Grades / Total Exam Count = 100 / 1 = 100
Summary of Averages
- Average Quiz Grade: 70
- Average Lab Grade: 90
- Average Exam Grade: 100
Expressions
- Average Quiz Grade: \(\frac{80 + 60 + 90 + 50}{4} = 70\)
- Average Lab Grade: \(\frac{100 + 80}{2} = 90\)
- Average Exam Grade: \(\frac{100}{1} = 100\)
So, Arden’s average grades for the semester are:
- Quizzes: 70
- Labs: 90
- Exams: 100