Alex scored an average of 80 points on quizzes and 60 points on the midterm for

Question

Alex scored an average of 80 points on quizzes and 60 points on the midterm for DS 412. According to the syllabus for that section of DS 412, the weights for the quizzes, midterm and the final are respectively 20%, 50%, and 30%. The catalog grade for a "C-" is [70.0, 72.99] therefore Alex needs to earn at least 70 points in total to pass this class. What is the minumum score Alex needs on the final to pass this class? HINT: Set up an equation with one unknown and solve for that unknown Select one: O a. 70 O b. 85 c. 80 O d. 74 O e. 84

Explanation / Answer

Given values:

Quizzes score (Q) = 80 points

Midterm score (M) = 60 points

Final score (F) = To be determined

Quizzes weight = 20% = 0.20

Midterm weight = 50% = 0.50

Final weight = 30% = 0.30

Total score required to pass the class = 70 points

Solution:

On the basis of the given information, below equation summarizes the weighted scores needed for Alex to pass the class,

Sum of (Weights x Scores) of each exam = 70

(0.20 x Q) + (0.50 x M) + (0.30 x F) = 70

Putting the given scores in the above equation, we get,

(0.20 x 80) + (0.50 x 60) + (0.30 x F) = 70

16 + 30 + 0.30 F = 70

0.30 F = 24

F = 80

Answer: The minimum score Alex needs on the final to pass this class is (c) 80

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