Professor Cramer determines a final grade based on attendance, two papers, three

Question

Professor Cramer determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, activities carry different weights. Attendance is worth 5%, each paper is worth 5%, each test is worth 19%, and the final is worth 28%. (a) What is the average for a student with 80 on attendance, 76 on the first paper, 89 on the second paper, on test 1, 81 on test 2, 62 on test 3, and 74 on the final exam? (b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 18 on attendance.

Explanation / Answer

a) The average for a student is computed by multiplying the scores with their respective weights. The weighted average here is computed as:

= 80*0.05 + 76*0.05 + 89*0.05 + 70*0.19 + 81*0.19 + 62*0.19 + 74*0.28

= 73.44

Therefore the average score here is 73.4

b) The average score here is computed in a similar way as:

= 18*0.05 + 76*0.05 + 89*0.05 + 70*0.19 + 81*0.19 + 62*0.19 + 74*0.28

= 70.3

Therefore the average score here is 70.3

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