Question

in jeromes statistics class, the final grade is based on four categories. the categories are tests, labs, homework assignments, and a final exam. the final average for the course is the weighted average of scores earned in these categories with the following weights.

category	weight
labs	30%
tests	10%
final exam	30%

suppose jerome earned the following grades on each of the categories:

homework	47%
labs	56%
tests	85%
final exam	46%

determine jeromes weighted average in the course.
record the average below as a percentage accurate to two decimal places.
course average: %

next question

Explanation:

Step1: Convert weights to decimals

$0.3$ (homework weight), $0.3$ (labs weight), $0.1$ (tests weight), $0.3$ (final - exam weight)

Step2: Multiply each grade by its weight

Homework: $0.3\times47 = 14.1$; Labs: $0.3\times56 = 16.8$; Tests: $0.1\times85 = 8.5$; Final Exam: $0.3\times46 = 13.8$

Step3: Sum the products

$14.1 + 16.8+8.5 + 13.8=53.2$

Answer:

$53.20\%$