math problem:
pedro wants to calculate his gpa.
he has the lab grades:90/100,98/100,90/100,94/100,90/100,90/100,95/100,98/100. Labs are worth 20%.
He has the test grades: 9/10,6/10,10/10,10/10,5/10,7/10,7/10,7/10,10/10,10/10,8/10,10/10. Homework is worth 20%
test grades are: 35/100, 20/100, 26/100, 34/100. Exams are worth 40%.
What is his grades so far? What would his grade be is he had a 90 on the final which is worth 20%?
I got 62 for his current grade but I am not sure
The way I calculate it Pedro is in trouble. He hasn't made over 34% on any test he has taken and he thinks he can make 90 on the final. Probably not. However, if he did, I calculate the final average as 64.6%. As for the current average, I don't know how to calculate that because he hasn't taken the final. As an estimate, we can add the averagae of his lab scores (93.125%) + average of homework (82.5%) + (2 x avg test scores since they count twice as much at 40% (2 x 28.75) and divide by 4 to obtain 58.3%.
To calculate Pedro's current grade, we need to consider the weightage of each component. The labs are worth 20%, the tests are worth 20%, and the exams are worth 40%.
Let's break it down step by step.
1. Lab grades:
- Pedro has 8 lab grades: 90/100, 98/100, 90/100, 94/100, 90/100, 90/100, 95/100, 98/100.
- To find the average, add up all the grades and divide by the total number of grades: (90 + 98 + 90 + 94 + 90 + 90 + 95 + 98) / 8 = 735 / 8 = 91.875.
- Since the labs are worth 20%, we need to calculate 20% of the lab average: 91.875 * 0.20 = 18.375.
2. Test grades:
- Pedro has 12 test grades: 9/10, 6/10, 10/10, 10/10, 5/10, 7/10, 7/10, 7/10, 10/10, 10/10, 8/10, 10/10.
- To find the average, add up all the grades and divide by the total number of grades: (9 + 6 + 10 + 10 + 5 + 7 + 7 + 7 + 10 + 10 + 8 + 10) / 12 = 99 / 12 = 8.25.
- Since the tests are worth 20%, we need to calculate 20% of the test average: 8.25 * 0.20 = 1.65.
3. Exam grades:
- Pedro has 4 exam grades: 35/100, 20/100, 26/100, 34/100.
- To find the average, add up all the grades and divide by the total number of grades: (35 + 20 + 26 + 34) / 4 = 115 / 4 = 28.75.
- Since the exams are worth 40%, we need to calculate 40% of the exam average: 28.75 * 0.40 = 11.5.
Now, let's calculate Pedro's current grade:
- Add up the weighted averages of labs, tests, and exams: 18.375 + 1.65 + 11.5 = 31.525.
- Pedro's current grade is 31.525 out of 80.
To find Pedro's grade if he had a 90 on the final, we need to calculate the weighted average with the final exam score:
- Final exam is worth 20%. Since it's out of 100, we can directly use the score.
- Add up the weighted averages of labs, tests, exams, and the final exam: 31.525 (current average) + 90 * 0.20 = 31.525 + 18 = 49.525.
- Pedro's grade with a 90 on the final would be 49.525 out of 100.
Please note that this calculation is based on the given weights and scores.