Identify the average score (Moy.) and coefficient (Coeff.) for each subject.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the average score (Moy.) and coefficient (Coeff.) for each subject.
• ANGLAIS: Moy. $4.9$, Coeff. $4$
• FRANCAIS: Moy. $11$, Coeff. $4$
• EDUCATION A LA CITOYENNETE ET A LA MORALE: Moy. $13$, Coeff. $1$
• GEOGRAPHIE: Moy. $11$, Coeff. $1$
• HISTOIRE: Moy. $11.3$, Coeff. $2$
• INFORMATIQUE: Moy. $11$, Coeff. $2$
• MATHEMATIQUES: Moy. $7$, Coeff. $4$
• SCIENCES: Moy. $13$, Coeff. $2$
• EDUCATION ARTISTIQUE ET CULTURELLE: Moy. $12$, Coeff. $1$
• CONDUITE: Moy. $16$, Coeff. $1$
• ECONOMIE SOCIALE ET FAMILIALE (ESF): Moy. $2$, Coeff. $1$
Step 2: Calculate the total weighted score by multiplying each subject's average by its coefficient and summing the results.
$$ \text{Total Weighted Score} = (4.9 \times 4) + (11 \times 4) + (13 \times 1) + (11 \times 1) + (11.3 \times 2) + (11 \times 2) + (7 \times 4) + (13 \times 2) + (12 \times 1) + (16 \times 1) + (2 \times 1) $$
$$ \text{Total Weighted Score} = 19.6 + 44 + 13 + 11 + 22.6 + 22 + 28 + 26 + 12 + 16 + 2 $$
$$ \text{Total Weighted Score} = 216.2 $$
Step 3: Calculate the total sum of coefficients.
$$ \text{Total Coefficients} = 4 + 4 + 1 + 1 + 2 + 2 + 4 + 2 + 1 + 1 + 1 $$
$$ \text{Total Coefficients} = 23 $$
Step 4: Calculate the overall average by dividing the total weighted score by the total coefficients.
$$ \text{Overall Average} = \frac{\text{Total Weighted Score}}{\text{Total Coefficients}} $$
$$ \text{Overall Average} = \frac{216.2}{23} $$
$$ \text{Overall Average} \approx 9.40 $$
The overall average is $\boxed{\text{9.40}}$.
