Question

this question has several parts that must be completed sequentially. if you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. tutorial exercise a professor grades students on four tests, a term paper, and a final examination. each test counts as 15% of the course grade. the term paper counts as 20% of the course grade. the final examination counts as 20% of the course grade. a student has test scores of 95, 85, 87, and 77, an 87 on the term paper, and a final examination score of 89. use the weighted mean formula to find the students average for the course. step 1 the weighted mean is given by the formula below, where ( w_1,w_2,w_3,ldots,w_n ) are the weights and ( x_1, ) ( x_2,x_3,ldots,x_n ) are the data points (the test scores). weighted mean ( =\frac{sum(xcdot w)}{sum w} ) the weights can be summarized as follows. sum of the weights for four tests ( =15%+15%+15%+15%=% ) weight of the term paper ( =20% ) weight of the final examination ( =20% ) therefore, the total sum of the weights is given by the following. ( sum w=%+20%+20% ) ( =% )

Explanation:

Step1: Calculate sum of test weights

Sum of weights for four tests: \(15\%+15\%+15\%+15\% = 60\%\)

Step2: Calculate total sum of weights

Total sum of weights \(\sum w=60\% + 20\%+20\%=100\%\)

Answer:

The sum of the weights for four tests is \(60\%\), and the total sum of the weights is \(100\%\)