The final grades of a student in six subjects are as follows:
Subject No.of units Final grade
Philosophy 3 2.50
Chemistry 5 1.50
English 3 2.25
Computer 3 3.00
Filipino I 3 2.25
Calculus 6 2.50
a. Determine his weighted mean grade.
b. If the subjects are of equal number of units, what would be his average?
Answers
The weighted mean grade=2.19 and the average=2.17
Given:
Philosophy 3 2.50
Chemistry 5 1.50
English 3 2.25
Computer 3 3.00
Filipino I 3 2.25
Calculus 6 2.50
To find:
a. Determine his weighted mean grade.
b. If the subjects are of equal number of units, what would be his average?
Solution:
a. To determine the weighted mean grade, you need to multiply the number of units of each subject by its corresponding final grade, then add up all the products and divide by the total number of units.
Weighted mean grade = (3 x 2.50 + 5 x 1.50 + 3 x 2.25 + 3 x 3.00 + 3 x 2.25 + 6 x 2.50) / (3 + 5 + 3 + 3 + 3 + 6)
Weighted mean grade = (7.50 + 7.50 + 6.75 + 9.00 + 6.75 + 15.00) / 24
Weighted mean grade = 52.75 / 24
Weighted mean grade = 2.19
b. If the subjects are of equal number of units, then you can simply add up all the final grades and divide by the number of subjects.
Average = (2.50 + 1.50 + 2.25 + 3.00 + 2.25 + 2.50) / 6
Average = (13.00) / 6
Average = 2.17
Therefore the weighted mean grade=2.19 and the average=2.17
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Answer:
Step-by-step explanation: