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Answer:
The student's weighted mean score is 92.2.
Step-by-step explanation:
To find the student's weighted mean scored, we multiply each grade by it's weight.
Grades and weights:
Homework: Grade of 86, weight of 20% = 0.2
Quiz: Grade of 87, weight of 5% = 0.05
Quiz: Grade of 91, weight of 5% = 0.05
Project: Grade of 98, weight of 45% = 0.45
Final Exam: Grade of 88, weight of 25% = 0.25.
What is the student's weighted mean score?
0.2*86 + 0.05*87 + 0.05*91 + 0.45*98 + 0.25*88 = 92.2
The student's weighted mean score is 92.2.
The weighted mean score of the student is 92.2
The weighted mean of a set of values is calculated using
the relation :
Weighted mean = ΣScore × weight
Given the information :
____________Score ___ Weight
Homework __ 86 _______ 20%
Quiz _______ 87 ________ 5%
Quiz _______ 91 ________ 5%
Project _____ 98 _______ 45%
Final Exam __ 88 ________25%
The weights must add up to 100%.
(20 + 5 + 5 + 45 + 25) % = 100%
The weighted mean :
(86 × 20%) + (87 × 5%) + (91 × 5%) + (98 × 45%) + (88 × 25%)
(17.2 + 4.35 + 4.95 + 44.1 + 22)
= 92.2
Hence, the student's weighted mean score is 92.2
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