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% %

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03-11-2022
Mathematics

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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% %

Sagot :

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NahyaJ626261idn NahyaJ626261idn · Answer 1 · 2022-11-03T09:28:50-04:00

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.

[tex]\frac{30}{100}=0.3[/tex]

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

[tex]\begin{gathered} \bar{x}=83\times0.3+94\times0.3+84\times0.1+87\times0.1+79\times0.2 \\ \bar{x}=24.9+28.2+8.4+8.7+15.8 \\ \bar{x}=86 \end{gathered}[/tex]

The weighted average of this student is 86.

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