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.

Respuesta :

Answer:

Your weighted mean grade is 81.2%


Answer:

The weighted mean grade is 81.2%.

Step-by-step 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 :

[tex]0.4\times ((84+78+84+72)/4)+(0.3\times 78)+(0.1\times 86)+(0.2\times 87)[/tex]

=>[tex](0.4\times79.5)+23.4+8.6+17.4[/tex]

=> [tex]31.8+23.4+8.6+17.4[/tex] = 81.2

Therefore, the weighted mean​ grade is 81.2%.