Question

24. Find the weighted average of the student's grades listed below, using the given percentage value for each category.AssignmentScore (%)WeightTest 18030%Test 29230%Homework7610%Quizzes9010%Final Exam7520% %

Answer 1

The weighted average is given by

$WA=\sum x_i\cdot w_i$

The sum of each value is multiplied by its weight.

$\begin{gathered} WA=(80\cdot0.30)+(92\cdot0.30)+(76\cdot0.10)+(90\cdot0.10)+(75\cdot0.20) \\ WA=24+27.6+7.6+9+15_{} \\ WA=83.2\% \end{gathered}$

Therefore, the weighted average of student's grades is 83.2%