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Arden completes the course and receives the following grades for the second half of the semester.

Arden’s Grades for the Second Half of the Semester
Category
Grade
Quiz
80
Quiz
60
Lab
100
Quiz
90
Quiz
50
Lab
80
Exam
100
What are the student’s total averages for the entire semester in each category (quiz, lab, and exam)? Write expressions for each of them, and solve them.
What grade did Arden receive for the course? Would you be happy with this grade if it were you taking the course? Why or why not?
Which category should Arden have spent more time on to improve her grade? Explain your answer.
6th grade words

1 answer

To find Arden’s total averages for the entire semester in each category (quiz, lab, and exam), we first need to calculate the average for each category based on the grades provided during the second half of the semester and then include any previous grades from the first half (if needed).

Grades for the Second Half of the Semester

  • Quizzes: 80, 60, 90, 50
  • Labs: 100, 80
  • Exams: 100

Step 1: Calculate Averages for Each Category

Quizzes:

  1. Add up all quiz grades: \[ 80 + 60 + 90 + 50 = 280 \]
  2. Count the total number of quizzes: \[ 4 \]
  3. Calculate the average: \[ \text{Average Quiz Grade} = \frac{280}{4} = 70 \]

Labs:

  1. Add up all lab grades: \[ 100 + 80 = 180 \]
  2. Count the total number of labs: \[ 2 \]
  3. Calculate the average: \[ \text{Average Lab Grade} = \frac{180}{2} = 90 \]

Exams:

  1. Since there is only one exam grade: \[ 100 \]
  2. Count the total number of exams: \[ 1 \]
  3. The average is: \[ \text{Average Exam Grade} = 100 \]

Summary of Averages

  • Average Quiz Grade: 70
  • Average Lab Grade: 90
  • Average Exam Grade: 100

Step 2: Overall Semester Grade

Now to compute Arden's overall course grade, we could average the three category averages together. Let’s assume all categories carry equal weight.

  1. To find the overall average: \[ \text{Overall Average} = \frac{\text{Average Quiz} + \text{Average Lab} + \text{Average Exam}}{3} = \frac{70 + 90 + 100}{3} = \frac{260}{3} \approx 86.67 \]

Arden's Course Grade

Arden’s average grade for the entire semester is approximately 86.67.

Would I Be Happy with This Grade?

Yes, an 86.67 is a good grade and shows that Arden has performed well overall. Of course, whether one would be happy with this grade can depend on personal expectations, goals, and the difficulty of the course.

Which Category Should Arden Improve?

Arden should focus on improving her quiz scores. Her average quiz grade is 70, which is considerably lower than her lab and exam grades (90 and 100 respectively). Improving her quiz scores would likely raise her overall average because quizzes are part of the overall grading for the course.

Summary

  • Average Quiz: 70
  • Average Lab: 90
  • Average Exam: 100
  • Overall Average: 86.67

Arden should spend more time on quizzes to improve her overall grade!