The scores and their percent of the final grade for a statistics student are given. What is the student's weighted mean score? Score Percent of final grade Homework 86 20 Quiz 87 5 Quiz 91 5 Project 98 45 Final Exam 88 25 The student's weighted mean score is 91.00.

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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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.

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step-by-step explanation: