Question

25. Find the weighted average of the student's grades listed below, using the given point value for each category.AssignmentScore (%)PointsTests88200Projects95100Homework8750Final Exam87150 %

Answer 1

From the table given, the weighted average is calculated as shown;

`\begin{gathered} (((88)/(100)*200)+((95)/(100)*100)+((87)/(100)*50)+((87)/(100)*150))/(200+100+50+150) \\ =((0.88*200)+(0.95*100)+(0.87*50)+(0.87*150))/(500) \\ =(176+95+43.5+130.5)/(500) \\ =(445)/(500) \\ =0.89 \\ =0.89*100 \\ =89\text{ \%} \end{gathered}`

Therefore, the weighted average is 89%