Question

A student earned grades of 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and homework counts for 20%.What is her weighted mean grade? Round to one decimal place

Answer 1

Answer and Step-by-step explanation:

To calculate the student’s weighted mean grade, we need to find the average of her four regular test grades and then multiply each component of her grade by its respective weight.

The average of her four regular test grades is (84 + 78 + 84 + 72) / 4 = 79.5.

Her weighted mean grade is calculated as follows:

Weighted mean grade = (0.4)(79.5) + (0.3)(78) + (0.1)(86) + (0.2)(87) = 31.8 + 23.4 + 8.6 + 17.4 = 81.2

So, her weighted mean grade is approximately 81.2 when rounded to one decimal place.