a professor grades students on three tests, four quizzes, and a final examination. each test counts...
a professor grades students on three tests, four quizzes, and a final examination. each test counts as two quizzes and the final examination counts as two tests. sara has test scores of 64,84,75. saras quiz scores are 94,87,93,92, her final examination score is 64. use the weighted mean formula to find saras average for the course. round your answer to one decimal place
Homework Answers
let a quiz weight is a
therefore weight of a test =2a
and weight of a final =4a
therefore total weight of three tests, four quizzes, and a final examination =1
3*(2a)+4a+4a=1
a =1/14
from above:
| credits | |||
| source | weight(w) | score(x) | w*x |
| 1st test | 1/7 | 64 | 9.1429 |
| 2nd test | 1/7 | 84 | 12.0000 |
| 3rd test | 1/7 | 75 | 10.7143 |
| 1st quiz | 1/14 | 94 | 6.7143 |
| 2nd quiz | 1/14 | 87 | 6.2143 |
| 3rd quiz | 1/14 | 93 | 6.6429 |
| 4th quiz | 1/14 | 92 | 6.5714 |
| final | 2/7 | 64 | 18.2857 |
| total ∑ | 1 | 76.2857 | |
| weighted average ∑xi*wi/∑wi= | 76.3 |
weighted mean =76.3
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