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For your Kinesiology class, the instructor is using the following gradingscheme: Percentage of gradeHomework 30%Midterm Exam 20%Project 15%Attendance 5%Final Exam 30%1.1. If there are 12 Homework assignments over the course of the semester,how much does each single Homework assignment contribute to your finalgrade?1.2. If you raise your Midterm Exam grade by 11 points (out of 100), howmuch will that raise your final grade?1.3. The instructor gives the class an extra credit assignment which willallow you to raise your Midterm grade by 11 points (out of 100) or raise yourFinal Exam grade by 15 points (out of 200). Which choice will improve yourfinal grade the most?1.4. Going into the Final Exam, you are hoping to get an A- in the course,which requires getting an overall 90% without rounding; having a grade of89.9 won’t be enough. If you have attended every class, averaged an 94% onthe Homework, scored an 85% on the Midterm, and a 93% on the Project,what is the minimum score (out of 100) you need on the Final Exam to getan A- in the course?1.5. You scored a 97% on the Final Exam, congratulations! Is there areasonable way to change the weights of the different grades in the coursesuch that your overall grade would be a 97% (given your scores on other

Question

For your Kinesiology class, the instructor is using the following gradingscheme: Percentage of gradeHomework 30%Midterm Exam 20%Project 15%Attendance 5%Final Exam 30%1.1. If there are 12 Homework assignments over the course of the semester,how much does each single Homework assignment contribute to your finalgrade?1.2. If you raise your Midterm Exam grade by 11 points (out of 100), howmuch will that raise your final grade?1.3. The instructor gives the class an extra credit assignment which willallow you to raise your Midterm grade by 11 points (out of 100) or raise yourFinal Exam grade by 15 points (out of 200). Which choice will improve yourfinal grade the most?1.4. Going into the Final Exam, you are hoping to get an A- in the course,which requires getting an overall 90% without rounding; having a grade of89.9 won’t be enough. If you have attended every class, averaged an 94% onthe Homework, scored an 85% on the Midterm, and a 93% on the Project,what is the minimum score (out of 100) you need on the Final Exam to getan A- in the course?1.5. You scored a 97% on the Final Exam, congratulations! Is there areasonable way to change the weights of the different grades in the coursesuch that your overall grade would be a 97% (given your scores on other

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Solution

1.1. The homework contributes 30% to your final grade. If there are 12 homework assignments, each assignment contributes 30/12 = 2.5% to your final grade.

1.2. If you raise your midterm exam grade by 11 points out of 100, it will raise your final grade by 11 * 20% = 2.2%.

1.3. If the extra credit assignment raises your midterm grade by 11 points out of 100, it will raise your final grade by 11 * 20% = 2.2%. If it raises your final exam grade by 15 points out of 200, it will raise your final grade by 15/2 * 30% = 2.25%. Therefore, choosing to raise your final exam grade will improve your final grade the most.

1.4. To get an A- in the course, you need an overall 90%. If you have attended every class (5%), averaged a 94% on the homework (94% * 30% = 28.2%), scored an 85% on the midterm (85% * 20% = 17%), and a 93% on the project (93% * 15% = 13.95%), you have so far earned 5 + 28.2 + 17 + 13.95 = 64.15%. Therefore, you need to score at least (90 - 64.15)% = 25.85% on the final exam. Since the final exam contributes 30% to your final grade, the minimum score you need on the final exam is 25.85/30 * 100 = 86.17%.

1.5. If you scored a 97% on the final exam (97% * 30% = 29.1%), your overall grade with the current weights is 5 + 28.2 + 17 + 13.95 + 29.1 = 93.25%. To get an overall grade of 97%, you would need to increase the weights of the grades you scored higher on. However, this would not be reasonable or fair to other students, as the grading scheme was set at the beginning of the course and should be applied consistently to all students.

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