Answer:
The weighted mean grade is 81.2%.
Step-by-step explanation:
Total marks earned by a student on her four regular tests is
[tex]84+78+84+72=318[/tex]
The average of these tests
[tex]\frac{318}{4}=79.5[/tex]
Grade in final test = 78
Grade in class project = 86
Grade in combined homework = 87
Weightage of four regular tests = 40% = 0.4
Weightage of final exam = 30% = 0.3
Weightage of project= 10% = 0.1
Weightage of home work = 20% = 0.2
The sum of weightage = 0.4+0.3+0.1+0.2 = 1
The formula for weighted mean is
[tex]Mean=\frac{\sum x_iw_i}{\sum w_i}[/tex]
[tex]Mean=\frac{(79.5)(0.4)+(78)(0.3)+(86)(0.1)+(87)(0.2)}{1}[/tex]
[tex]Mean=81.2[/tex]
Therefore the weighted mean grade is 81.2%.
