Question

grading system 1. grading system 2test average-35% 45%final exam grade- 25% 15%projects-15% 15%homework-15% 10%class participation-10% 15%If your values are the following in your math class, which grading system would you prefer and why?test average=84final exam grade=72projects=68homework=88class participation=95

Answer 1

We have two grading systems, with different weights for different items.

We have to calculate, for a certain points of the different items, which grading systems gives a higher weighted average score.

To do so we multiply each percentage to each of the items points and add them all.

We start with grading system 1:

`\begin{gathered} P1=0.35\cdot84+0.25\cdot72+0.15\cdot68+0.15\cdot88+0.1\cdot95 \\ P1=29.4+18+10.2+13.2+9.5 \\ P1=80.3 \end{gathered}`

The grading system 1 gives an average score of 80.3.

We apply the grading system 2 coefficients and we get:

`\begin{gathered} P2=0.45\cdot84+0.15\cdot72+0.15\cdot68+0.10\cdot88+0.15\cdot95 \\ P2=37.8+10.8+10.2+8.8+14.25 \\ P2=81.85 \end{gathered}`

The grading system 2 gives an average score of 81.85.

With the grading system 2, the final score is a little higher than with grading system 1. So we would prefer the system 2.