If I have an 85% in a course, what mark would I need to raise to an 89+ if my final is worth 25% of the whole course?
0.75*85 + 0.25*F = 89
63.75 + 0.25F = 89
0.25F = 89-63.75 = 25.25
F = 101 = Finals score.
Cannot be done!
0.75*85 + 0.25*100 = 88.75% = Max. possible score.
Aww.. :(
Oh well, I'll be happy with an 88!
Thanks Henry :)
Glad I could help.
To determine the mark you would need on your final to raise your overall course grade from 85% to 89% or higher, you can follow these steps:
Step 1: Calculate your current weighted course grade
Since your final is worth 25% of the whole course, you first need to determine your current grade excluding the final. Multiply your current grade (85%) by 75% (100% - 25%) to get your weighted course grade so far:
85% x 0.75 = 63.75%
This means that your current weighted course grade, without considering the final exam, is approximately 63.75%.
Step 2: Calculate the remaining weighted course grade
To find out how much weight the final exam carries on your overall course grade, subtract the current weighted course grade from 100%:
100% - 63.75% = 36.25%
This means that the final exam is worth approximately 36.25% of your overall course grade.
Step 3: Determine the desired final exam grade
Since you want to raise your overall course grade from 85% to 89% or higher, subtract your target grade (89%) from 100%:
100% - 89% = 11%
This implies that you need to earn at least 11% on your final exam to achieve your desired grade.
Step 4: Calculate the needed raw score on the final exam
Now, divide the needed final exam grade by the remaining weighted course grade to find out the raw score you need to achieve on the final exam:
11% ÷ 36.25% = 0.3034
Multiply this result by 100 to convert it to a percentage:
0.3034 x 100 = 30.34%
Therefore, you would need to score approximately 30.34% or higher on your final exam to raise your overall course grade from 85% to 89% or higher.