Question

12. Find the weighted average of the student's grades listed below, using the given percentage value for each category.AssignmentScore (%)WeightTest 18330%Test 29430%Homework8410%Quizzes8710%Final Exam7920% %

Answer 1

To find the weighted average we just need to sum all the scores multiplied by their respective weight.

To find 30% of a value, is the same as multiplying by 30 and dividing by 100. As a decimal, this can be represented as 0.3.

`(30)/(100)=0.3`

Now, doing the sum multiplying the scores by their respective weights, we have:

`\begin{gathered} \bar{x}=83*0.3+94*0.3+84*0.1+87*0.1+79*0.2 \\ \bar{x}=24.9+28.2+8.4+8.7+15.8 \\ \bar{x}=86 \end{gathered}`

The weighted average of this student is 86.