Question

a student has the following averages. homework: 94.6% 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 | 94.6 | | | | quizzes | 87.1 | | |

Explanation:

Step1: Convert weights to decimals

Homework weight: $0.05$, Quizzes weight: $0.05$, Mid - term weight: $0.35$, Final exam weight: $0.55$

Step2: Calculate Grade * Weight for Homework

$94.6\times0.05 = 4.73$

Step3: Calculate Grade * Weight for Quizzes

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

Step4: Calculate Grade * Weight for Mid - term

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

Step5: Calculate Grade * Weight for Final exam

Final exam grade is $62$, so $62\times0.55 = 34.1$

Step6: Calculate the final grade

$4.73 + 4.36+22.75 + 34.1=65.94$

The heavily - weighted final exam pulls down the overall grade because the final exam grade ($62$) is relatively low compared to the other grades. If the final exam was weighted less, the overall grade would be higher due to the higher grades in homework and quizzes.

Answer:

Category	Grade	Weight	Grade * Weight
Quizzes	87.1	0.05	4.36
Mid - term	65	0.35	22.75
Final exam	62	0.55	34.1

Overall grade: $65.94$