a student has the following averages:\nhomework: 94.5%\nmidterm: 65%\nquizzes: 87.1%\nfinal exam: 62%\nfind…
a student has the following averages:\nhomework: 94.5%\nmidterm: 65%\nquizzes: 87.1%\nfinal exam: 62%\nfind 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?\n\ncomplete the table below.\n(type integers or decimals rounded to two decimal places as needed.)\n| category | grade | weight | grade·weight |\n| homework | 94.5 | | |\n| quizzes | 87.1 | | |
Answer
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 |
|---|---|---|---|
| Homework | 94.6 | 0.05 | 4.73 |
| 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 $55%$.