## Final grade calculation

#### Example #1

Current grade is 70% (or C-).

Final exam weight is 50%.

Required grade is 80% (or B-).

##### Calculation:

The final exam grade is equal to the required grade, minus 100% minus the final exam weight (w) times the current grade (g), divided by the final exam weight (w):

Final exam grade =

= ( *required grade* - (100% - *w*)×*current grade* ) / *w*

= ( 80% - (100% - 50%)×70% ) / 50% = 90%

So the final exam grade should be 90% (or A-).

#### Example #2

Assigment 1: weight1=50%, grade1=16 out of 20.

Assigment 2: weight2=30%, max grade=30.

Assigment 3: weight3=20%, max grade=40.

Find average grade in assignments 2 and 3 needed to get class grade of 85%.

##### Calculation:

Current grade = Assignment 1 grade = grade1 / max grade1 = 16/20 = 0.8 = 80%

Required grade = 85%

Final exam weight = *w = weight2+weight3* = 30%+20% = 50%

Final exam grade =

= ( *required grade* - (100% - *w*)×*current grade* ) / *w*

= ( 85% - 50%×80% ) / 50% = 90%

This mean that you have to get an average grade of 90% in assignments 2 and 3 in order to get class grade of 85%.

Assignment 2 grade = 90% × *max grade* = 90% × 30 = 27

Assignment 3 grade = 90% × *max grade* = 90% × 40 = 36