Answer:
The weighted mean grade is 78.62
Step-by-step explanation:
We are given the following in the question:
Regular exam score = 79, 74, and 73
Weightage of regular exam = 12%
Final exam grade = 66
Weightage of final exams = 17%
Course project grade = 88
Weightage of project = 10%
Homework grade = 93
Weightage of homework = 37%
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
Mean of regular exam scores =
[tex]Mean =\displaystyle\frac{226}{3} = 75.33[/tex]
Weighted mean grade
[tex]w = \dfrac{\sum wx}{\sum w}[/tex]
[tex]\displaystyle\sum wx =\displaystyle\frac{12}{100}\times 75.33 + \frac{17}{100}\times 66 + \frac{10}{100}\times 88 + \frac{33}{100}\times 93\\\\\displaystyle\sum wx = 59.75\\\\\sum w = 0.12 + 0.17 + 0.10 + 0.37 = 0.76\\\\w = \frac{59.75}{0.76} = 78.62[/tex]
The weighted mean grade is 78.62