Question

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.

Answer 1

The weighted mean grade is 81.2%.

Explanation:

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

`84+78+84+72=318`

The average of these tests

`(318)/(4)=79.5`

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

`Mean=(\sum x_iw_i)/(\sum w_i)`

`Mean=((79.5)(0.4)+(78)(0.3)+(86)(0.1)+(87)(0.2))/(1)`

`Mean=81.2`

Therefore the weighted mean grade is 81.2%.