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A professor grades students on 4 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. Alan has test scores of 80, 78, 92, and 84. Alan received an 84 on his term paper. His final examination score was 88. Use the weighted mean formula to find Alan’s average for the course. Hint: The sum of all the weights is 100%=1.

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TomShelby

Answer:

Final grade:     84.50

Step-by-step explanation:

We multiply the score by the weight in the final note. THen, we add up all the weighted scored and get the final score.

15% x 80  =      12

15% x 78  =       11.7

15% x 92  =      13.8

15% x 84  =      12.6

20% x 84  =      16.8

20% x 88  =       17.6    

Final grade:     84.50

Using the weighed mean, it is found that Alan's average for the course is of 84.5.

The weighed mean is given by each grade multiplied by it's proportion weight.

We have that the grades are:

  • Test scores of 80, 78, 92 and 84 with a weight of 0.15.
  • Term paper of 84 with a weight of 0.2.
  • Examination score of 88 with a weight of 0.2.

Hence, the average is:

[tex]E(X) = 0.15(80 + 78 + 92 + 84) + 0.2(84 + 88) = 84.5[/tex].

Alan's average for the course is of 84.5.

A similar problem is given at https://brainly.com/question/16233451

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