02 // Visual Math & Finance SolversCourse Grade = ∑(Weight_i × Score_i) / ∑(Weight_i)
Visual Course Grade & Final Exam Weight Fulcrum Calculator
A syllabus-weighted course grade combines component scores $G_i$ with syllabus weights $w_i$ via $G_{total} = \frac{w_{hw}G_{hw} + w_{mid}G_{mid} + w_{fin}G_{fin}}{w_{hw} + w_{mid} + w_{fin}}$.
Course Grade = ∑(Weight_i × Score_i) / ∑(Weight_i)Inputs & Parameters (6)
%
0%±1100%
%
5%±5100%
%
0%±1100%
%
5%±5100%
%
0%±1100%
%
5%±5100%
Weighted Mean (Fulcrum)
86.55
∑(wᵢxᵢ) = 8,655 / ∑w = 100
Unweighted Simple Mean
87
Weighting shift Δ = -0.45
Normalized Shares
25 / 35 / 40%
Relative mass distribution on beam
Balanced Torque (∑τ = 0)
±194.3
Equal counter-clockwise & clockwise moments
20-Row Comparison Table
Compare across:
| # | Homework / Labs Score (%) | Weighted Mean (x̄_w) | Simple Mean | Weight Shift Δ |
|---|---|---|---|---|
| 01 | 0 % | 63.55 | 56.33 | +7.22 |
| 02 | 5 % | 64.8 | 58 | +6.8 |
| 03 | 11 % | 66.3 | 60 | +6.3 |
| 04 | 16 % | 67.55 | 61.67 | +5.88 |
| 05 | 21 % | 68.8 | 63.33 | +5.47 |
| 06 | 26 % | 70.05 | 65 | +5.05 |
| 07 | 32 % | 71.55 | 67 | +4.55 |
| 08 | 37 % | 72.8 | 68.67 | +4.13 |
| 09 | 42 % | 74.05 | 70.33 | +3.72 |
| 10 | 47 % | 75.3 | 72 | +3.3 |
| 11 | 53 % | 76.8 | 74 | +2.8 |
| 12 | 58 % | 78.05 | 75.67 | +2.38 |
| 13 | 63 % | 79.3 | 77.33 | +1.97 |
| 14 | 68 % | 80.55 | 79 | +1.55 |
| 15 | 74 % | 82.05 | 81 | +1.05 |
| 16 | 79 % | 83.3 | 82.67 | +0.63 |
| 17 | 84 % | 84.55 | 84.33 | +0.22 |
| 18 | 89 % | 85.8 | 86 | -0.2 |
| 19 | 95 % | 87.3 | 88 | -0.7 |
| 20 | 100 % | 88.55 | 89.67 | -1.12 |
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Key Analytical Takeaways
- 01Slide the Final Exam Score ($x_3$) left and right to immediately see the minimum score needed to cross an 80% (B) or 90% (A) threshold.
- 02A 10-point boost in a 40%-weighted Final Exam raises your course average by $+4.0$ points, whereas the same boost in 20%-weighted Homework adds $+2.0$ points.
- 03The sensitivity table below lists exact resulting course averages as your final exam score varies from 0% to 100%.
Frequently Asked Questions
How do I calculate what score I need on my final exam to get an A (90%)?+
Use: Required_Final = (Target_Grade − Current_Grade × (1 − Final_Weight)) / Final_Weight, or slide the Final Exam Score slider until the fulcrum readout hits 90.0%.
What if my syllabus weights don't add up to 100 yet?+
The solver divides by the sum of active weights, showing your current standing in the graded portion of the course.
How do I calculate the minimum final exam score needed for a target course grade?+
Let W_f be the final exam syllabus weight and C be your current weighted average across completed categories (weight 1 − W_f): Required Final = [Target − C × (1 − W_f)] / W_f.