Math

QuestionCalculate the final score for a student with midterm 70, project 93, homework 87, final exam 74 using weights: midterm 5%5\%, project 20%20\%, homework 50%50\%, final 25%25\%. What letter grade did he earn?

Studdy Solution

STEP 1

Assumptions1. The midterm counts as5% of the final grade. The class project counts as20% of the final grade3. The homework assignments count as50% of the final grade4. The final exam counts as25% of the final grade5. The scores for the midterm, project, homework, and final exam are70,93,87, and74 respectively6. The grading scale is as follows90 or above is an A; at least80 but less than90 is a B; at least70 but less than80 is a C; at least60 but less than70 is a D; and less than60 is an F

STEP 2

First, we need to calculate the weighted score for each component of the final grade. This can be done by multiplying the score by the weight of that component.
Weightedscore=ScoretimesWeightWeighted\, score = Score \\times Weight

STEP 3

Calculate the weighted score for the midterm.
Weightedmidtermscore=70times5%Weighted\, midterm\, score =70 \\times5\%

STEP 4

Convert the percentage to a decimal value.
%=0.05\% =0.05Weightedmidtermscore=70times0.05Weighted\, midterm\, score =70 \\times0.05

STEP 5

Calculate the weighted midterm score.
Weightedmidtermscore=70times0.05=3.5Weighted\, midterm\, score =70 \\times0.05 =3.5

STEP 6

Repeat the process for the project, homework, and final exam scores.
Weightedprojectscore=93times20%=18.6Weighted\, project\, score =93 \\times20\% =18.6Weightedhomeworkscore=87times50%=43.5Weighted\, homework\, score =87 \\times50\% =43.5Weightedfinalexamscore=74times25%=18.5Weighted\, final\, exam\, score =74 \\times25\% =18.5

STEP 7

Now that we have the weighted scores for each component, we can add these together to find the final score.
Finalscore=Weightedmidtermscore+Weightedprojectscore+Weightedhomeworkscore+WeightedfinalexamscoreFinal\, 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 final score.
Finalscore=3.5+18.6+43.5+18.5Final\, score =3.5 +18.6 +43.5 +18.5

STEP 9

Calculate the final score.
Finalscore=3.5+18.6+43.5+18.5=84.Final\, score =3.5 +18.6 +43.5 +18.5 =84.

STEP 10

Now that we have the final score, we can determine the letter grade. According to the grading scale, a score of84. corresponds to a B.
The student's final score is84. and his letter grade is B.

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