Math

QuestionCalculate the final score based on weights: midterm (5\%), project (15\%), homework (30\%), final (50\%). Scores: midterm 66, project 99, homework 76, final 72. What is the final score and letter grade?

Studdy Solution

STEP 1

Assumptions1. The midterm counts as 5%5 \% of the final grade. The class project counts as 15%15 \% of the final grade3. The homework assignments count as 30%30 \% of the final grade4. The final exam counts as 50%50 \% of the final grade5. The student's scores are Midterm -66, Project -99, Homework -76, Final exam -726. The grading scale is as follows A -90 or above, B -80 to89, C -70 to79, D -60 to69, F - below60

STEP 2

First, we need to calculate the weighted score for each component of the final grade. The weighted score is calculated by multiplying the score by the weight of the component.
Weightedscore=ScoretimesWeightWeighted\, score = Score \\times Weight

STEP 3

Calculate the weighted score for the midterm.
Weightedmidtermscore=66times5%Weighted\, midterm\, score =66 \\times5\%

STEP 4

Convert the percentage to a decimal value.
%=0.05\% =0.05Weightedmidtermscore=66times0.05Weighted\, midterm\, score =66 \\times0.05

STEP 5

Calculate the weighted midterm score.
Weightedmidtermscore=66times0.05=3.3Weighted\, midterm\, score =66 \\times0.05 =3.3

STEP 6

Repeat steps3 to5 to calculate the weighted scores for the project, homework, and final exam.
Weightedprojectscore=99times15%=14.85Weighted\, project\, score =99 \\times15\% =14.85Weightedhomeworkscore=76times30%=22.8Weighted\, homework\, score =76 \\times30\% =22.8Weightedfinalexamscore=72times50%=36Weighted\, final\, exam\, score =72 \\times50\% =36

STEP 7

Now that we have the weighted scores for each component, we can add them up to get the overall final score.
Overallfinalscore=Weightedmidtermscore+Weightedprojectscore+Weightedhomeworkscore+WeightedfinalexamscoreOverall\, final\, score = Weighted\, midterm\, score + Weighted\, project\, score + Weighted\, homework\, score + Weighted\, final\, exam\, score

STEP 8

Plug in the values for the weighted scores to calculate the overall final score.
Overallfinalscore=3.3+14.85+22.8+36Overall\, final\, score =3.3 +14.85 +22.8 +36

STEP 9

Calculate the overall final score.
Overallfinalscore=3.3+14.85+22.8+36=76.95Overall\, final\, score =3.3 +14.85 +22.8 +36 =76.95

STEP 10

Now that we have the overall final score, we can determine the letter grade. According to the grading scale, a score of76.95 falls into the C range.
The student's overall final score is76.95, which corresponds to a C grade.

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