A student's course grade is based on one midterm that counts as 1010% of his final grade, one class project that counts as 1010% of his final grade, a set of homework assignments that counts as 4040% of his final grade, and a final exam that counts as 4040% of his final grade. His midterm score is 6666, his project score is 8484, his homework score is 8484, and his final exam score is 6767. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Accepted Solution
A:
Answer:The overall final score of the student is 75.4, in letter scale, a C.Step-by-step explanation:Assuming that numbers are repeated (1010% means 10% and so on).To find his overall final score, we have to take into account that it is a weighted average.A weighted average is one where each score (x) has a specific weighing, for example, midterm's weighing in this case is 10%. If we add all weighings, we should get 100% (it is the case). The formula is:[tex]\mbox{Weighted average}= \sum_{i=1}^{n}x_{i}*\mbox{weighing}_{i}[/tex]With our data:[tex]\mbox{Weighted average}=66*10\%+84*10\%+84*40\%+67*40\%=75.4[/tex]As the mean is 75.4, higher than 70 but lower than 80, he earned a letter grade of C.