Question

A student earned grades of​ 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 course​ grade, the final exam counts for​ 30%, the project counts for​ 10%, and homework counts for​ 20%. What is her weighted mean​ grade? Round to one decimal place.

Answer 1

Your weighted mean grade is 81.2%

Answer 2

The weighted mean grade is 81.2%.

Explanation:

A student earned grades of​ 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 course​ grade, the final exam counts for​ 30%, the project counts for​ 10%, and homework counts for​ 20%.

So, weighted mean​ grade can be calculated as :

`0.4* ((84+78+84+72)/4)+(0.3* 78)+(0.1* 86)+(0.2* 87)`

=>
`(0.4*79.5)+23.4+8.6+17.4`

=>
`31.8+23.4+8.6+17.4` = 81.2

Therefore, the weighted mean​ grade is 81.2%.