A student at Fort Hays State University earned grades 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and the homework counts for 20%. What is her weighted mean grade? Round to one decimal place.

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erinna erinna · Answer 1 · 2019-08-06T08:17:49+02:00

Answer:

The weighted mean grade is 81.2%.

Step-by-step explanation:

Total marks earned by a student on her four regular tests is

[tex]84+78+84+72=318[/tex]

The average of these tests

[tex]\frac{318}{4}=79.5[/tex]

Grade in final test = 78

Grade in class project = 86

Grade in combined homework = 87

Weightage of four regular tests = 40% = 0.4

Weightage of final exam = 30% = 0.3

Weightage of project= 10% = 0.1

Weightage of home work = 20% = 0.2

The sum of weightage = 0.4+0.3+0.1+0.2 = 1

The formula for weighted mean is

[tex]Mean=\frac{\sum x_iw_i}{\sum w_i}[/tex]

[tex]Mean=\frac{(79.5)(0.4)+(78)(0.3)+(86)(0.1)+(87)(0.2)}{1}[/tex]

[tex]Mean=81.2[/tex]

Therefore the weighted mean grade is 81.2%.