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Your grade for this statistics course is a weighted average of five components (

ID: 3203789 • Letter: Y

Question

Your grade for this statistics course is a weighted average of five components (Exam 1, Exam 2, Final Exam, Quizzes, and Problem Sets). Define: E1= your percent grade on Exam 1 E2= your percent grade on Exam 2 F = your percent grade on the Final Exam Q = your percent grade on the quizzes P= your percent grade on the problem sets G = your percent grade for the entire course For this problem, assume "percent grade" is simply a number between 0 and 100. Write an expression for G as a function of the various components of the grade.

Explanation / Answer

Suppose the scores on each of the components is as follows:

Exam1 = e1

Exam2 = e2

Final Exam = f

Quizzes = q

Problem sets = p

The weighted average for the entire course = G

The percentage contribution of Exam 1 in the weighted average for the entire course is e1*E1

The same holds for other components

Therefore G = (e1 * E1) + (e2 * E2) + (f * F) + (q * Q) + (p * P)