A student’s final grade in chemistry is determined by the following weights:

Quizzes 5%
Exam 1 20%
Exam 2 20%
Lab Reports 15%
Research Paper 15%
Final Exam 25%

The student received the following grades:

Lab reports: 75 80 70 75 85 69 90 75
Quizzes: 85 60 70 0 75 80 80 80
Exam 1: 80
Exam 2: 70
Research Paper: 85
Final Exam: 75

What is the final grade for this student?

The answer I got was 75.95 and it came out to be wrong. To get this answer I added each one category at a time and then divided it by the appropriate percentage. I do not know what I am doing wrong. Please help me.

multiply each average score by its weight, and add them up.

quizzes: 66.25
Labs: 77.375

Now weight the scores as indicated:

0.05*66.25 + 0.20*80 + 0.20*70 + 0.15*77.375 + 0.15*85 + 0.25 * 75 = 76.42

You do it this way because if all the weights (percentages) add up to 1, then those portions of a perfect score (100) will add up to the total.

If all the scores are 100, then since all the weights add up to 1, the final grade is also 100.

Well, it sounds like you're doing the calculations correctly. However, it seems like there might be a mistake in one of your category calculations.

Let's go through each category and see if we can find the error:

1. Lab Reports: The student received scores of 75, 80, 70, 75, 85, 69, 90, and 75. To find their average score for lab reports, we add up all the scores and divide by the number of scores:

(75 + 80 + 70 + 75 + 85 + 69 + 90 + 75) / 8 = 78.125

2. Quizzes: The student received scores of 85, 60, 70, 0, 75, 80, 80, and 80. To find their average quiz score, we add up all the scores and divide by the number of scores:

(85 + 60 + 70 + 0 + 75 + 80 + 80 + 80) / 8 = 68.75

3. Exam 1: The student received a score of 80.

4. Exam 2: The student received a score of 70.

5. Research Paper: The student received a score of 85.

6. Final Exam: The student received a score of 75.

Now let's calculate the weighted score for each category by multiplying the average score by the corresponding weight percentage:

Lab Reports: 78.125 * 15% = 11.71875
Quizzes: 68.75 * 5% = 3.4375
Exam 1: 80 * 20% = 16
Exam 2: 70 * 20% = 14
Research Paper: 85 * 15% = 12.75
Final Exam: 75 * 25% = 18.75

Finally, let's add up all the weighted scores:

11.71875 + 3.4375 + 16 + 14 + 12.75 + 18.75 = 76.65625

So, the student's final grade is approximately 76.66. Please note that this might not be the exact answer you were expecting, but it could be due to rounding errors or a different grading scale. Keep in mind that my calculations are based on the information and weights you provided.

To calculate the final grade for this student, you need to follow these steps:

1. Calculate the average grade for lab reports by adding all the lab report grades and dividing by the number of lab reports:
(75 + 80 + 70 + 75 + 85 + 69 + 90 + 75) / 8 = 77.625

2. Calculate the average grade for quizzes by adding all the quiz grades and dividing by the number of quizzes:
(85 + 60 + 70 + 0 + 75 + 80 + 80 + 80) / 8 = 68.75

3. Calculate the weighted grades for exams, lab reports, research paper, and quizzes by multiplying the average grade in each category by its corresponding weight.

- Exam 1: 80 * 20% = 16
- Exam 2: 70 * 20% = 14
- Lab Reports: 77.625 * 15% = 11.64375
- Research Paper: 85 * 15% = 12.75
- Quizzes: 68.75 * 5% = 3.4375

4. Calculate the final exam grade by multiplying the final exam grade by its weight:
75 * 25% = 18.75

5. Sum up the weighted grades in step 3 and step 4 to find the final grade:
16 + 14 + 11.64375 + 12.75 + 3.4375 + 18.75 = 76.58125

Therefore, the final grade for this student is approximately 76.58, not 75.95 as previously calculated.

To calculate the final grade for this student, you need to follow these steps:

1. Calculate the average grade for each category:
a. For Lab Reports: Add up all the lab report grades and divide by the number of lab reports (8 in this case):
(75 + 80 + 70 + 75 + 85 + 69 + 90 + 75) / 8 = 79.375
b. For Quizzes: Add up all the quiz grades and divide by the number of quizzes (8 in this case):
(85 + 60 + 70 + 0 + 75 + 80 + 80 + 80) / 8 = 69.375
c. For Exam 1: The student received a grade of 80.
d. For Exam 2: The student received a grade of 70.
e. For Research Paper: The student received a grade of 85.
f. For Final Exam: The student received a grade of 75.

2. Calculate the weighted grade for each category by multiplying the average grade by the corresponding weight:
a. Lab Reports weighted grade: 79.375 * 15% = 11.90625
b. Quizzes weighted grade: 69.375 * 5% = 3.46875
c. Exam 1 weighted grade: 80 * 20% = 16
d. Exam 2 weighted grade: 70 * 20% = 14
e. Research Paper weighted grade: 85 * 15% = 12.75
f. Final Exam weighted grade: 75 * 25% = 18.75

3. Add up all the weighted grades:
11.90625 + 3.46875 + 16 + 14 + 12.75 + 18.75 = 77.875

4. The final grade is the sum of the weighted grades:
77.875

Therefore, the final grade for this student is 77.875. It seems like there was an error in your calculations. Double-check each step to ensure accuracy.