Question

a student has the following averages:
homework: 94.5%
midterm: 65%
quizzes: 87.1%
final exam: 62%
find the students grade assuming these weights: homework (5%), quizzes (5%), midterm (35%), final exam (55%). what effect does the heavily - weighted final exam have in this case?

complete the table below.
(type integers or decimals rounded to two decimal places as needed.)

category	grade	weight	grade·weight
homework	94.5
quizzes	87.1

Explanation:

Step1: Convert weights to decimals

Homework weight: $5\%=0.05$, Quizzes weight: $5\% = 0.05$, Mid - term weight: $35\%=0.35$, Final exam weight: $55\% = 0.55$

Step2: Calculate Grade $\cdot$ Weight for Homework

$94.6\times0.05 = 4.73$

Step3: Calculate Grade $\cdot$ Weight for Quizzes

$87.1\times0.05=4.355\approx4.36$

Step4: Calculate Grade $\cdot$ Weight for Mid - term

Mid - term grade is $65\%$, so $65\times0.35 = 22.75$

Step5: Calculate Grade $\cdot$ Weight for Final exam

Final exam grade is $82\%$, so $82\times0.55=45.1$

Step6: Calculate the final grade

Final grade=$4.73 + 4.36+22.75 + 45.1=76.94$

The heavily - weighted final exam has a large impact on the final grade. Since it has a weight of $55\%$, a change in the final exam grade will have a significant effect on the overall grade. For example, if the final exam grade increases or decreases by a certain amount, the overall grade will change by $0.55$ times that amount.

Category	Grade	Weight	Grade $\cdot$ Weight
Quizzes	87.1	0.05	4.36
Mid - term	65	0.35	22.75
Final exam	82	0.55	45.1

Answer:

The student's final grade is $76.94$. The heavily - weighted final exam has a significant impact on the final grade as its weight is $55\%$.