Question

At a certain high school, the respective weights for the following subjects are: Mathematics 3, English 3, History 2, Science 2, and Art 1. What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?

a) 85.7
b) 87.8
c) 88.9
d) 89.4
e) 90.2

Answer 1

The student's weighted average is calculated by multiplying each subject's grade by its weight, summing these products, and dividing by the total weight. After performing these calculations, the student's weighted average is found to be 88.9.

Step-by-step explanation:

To calculate the student's weighted average for their subjects, we multiply each subject's mark by its respective weight, add all the results together, and then divide by the sum of the weights.

• Mathematics (Geometry): 89 × 3 = 267
• English (American Literature): 92 × 3 = 276
• History (American History): 94 × 2 = 188
• Science (Biology): 81 × 2 = 162
• Art (Sculpture): 85 × 1 = 85

Add these values together to get the total score:

267 + 276 + 188 + 162 + 85 = 978

The sum of the weights is 3 + 3 + 2 + 2 + 1 = 11.

Now, to find the weighted average, divide the total score by the sum of the weights:

978 ÷ 11 = 88.9

The student's weighted average is 88.9, which corresponds to option (c).