1. An instructor has set a grading policy as follows in their class:
Homework is worth 10%
Quizzes are worth 20%
The midterm exam is worth 30%
The final exam is worth 40%
Chris' score is 80.86 for the homework, 67.87 on the quizzes, 80.14 on the midterm exam, and 63.24 on the final exam.
What was Chris' final grade in the class?
Report your answer to two decimal places, and include the score only. An example answer is: 87.65
Assuming that each of the 4 components has maximum marks out of 100, the final grade here is computed as the sum product of the weightage with the marks obtained in each component
= homework weightage * Marks in homework + Quizzes weightage * Marks in Quizzes + midterm exam weightage * Marks in midterm exam + final exam weightage * Marks in final exam
= 0.1*80.86 + 0.2*67.87 + 0.3*80.14 + 0.4*63.24
= 70.998
Therefore 71.00 is the required final grade here ( rounded to 2 decimal places )
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