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Sagot :
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:
[tex]\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}[/tex]The grading system 1 gives an average score of 80.3.
We apply the grading system 2 coefficients and we get:
[tex]\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}[/tex]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.
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