i have 78% in the course
the exam is worth 30% and i got 65%
what is my overall mark in the course
We have to make a few assumptions baed on the vagueness of the question, but ...
The tests break down into two classes: the final exam and all others. The final exam is worth 30% of your overall grade, and the others, combined, are worth 70%.
So your overall grade, G, is 70% of your non-exam percent, 78, plus 30% of your exam score, 65.
G = 0.7(78) + 0.3(65)
To determine your overall mark in the course, you need to calculate the weighted average of your course grade and exam grade.
First, convert your course grade to its weighted value:
Course grade = 78%
Weight of course grade = 100% - 30% (since the exam is worth 30%) = 70%
Next, multiply your course grade by its weight:
Weighted course grade = Course grade * Weight of course grade/100
Weighted course grade = 78% * 70% = 54.6%
Now, calculate the weighted value of your exam grade:
Exam grade = 65%
Weight of exam grade = 30%
Weighted exam grade = Exam grade * Weight of exam grade/100
Weighted exam grade = 65% * 30% = 19.5%
Finally, add the weighted course grade and weighted exam grade to find your overall mark in the course:
Overall mark = Weighted course grade + Weighted exam grade
Overall mark = 54.6% + 19.5% = 74.1%
Therefore, your overall mark in the course is 74.1%.