If someone has an 88% in a class and their total quiz grade is 95%, if they were to have a 2% extra credit added to their grade, could their total grade become a 90%? // They think it may have a score similar to 8/5 or 9/5.
This is just a regular question for a friend. Any help is welcome!
if the quiz is counted more than the other grades, things get more complicated.
If the quiz counts as much as all the rest, then the final grade would be (88+95)/2 = 91.5
I suspect there is missing information here.
The information that I can provide is this:
My current grade is: 88%
My average quiz grade is: 95%
A regular quiz counts for 15%, which isn't the highest of all assessments.
These extra credit assignments are with 2%, but they have scores similar to 8/5 and 9/5.
Maths
To determine whether adding a 2% extra credit to their grade could raise the total grade to 90%, let's break down the problem step by step.
First, we need to calculate the weight of the quiz grades and the weight of the extra credit. Let's assume that the quiz grades make up 100% of the total grade, and the extra credit is added on top of that. So the weight of the quiz grades is 100% and the weight of the extra credit is 2%.
Next, we'll determine the contribution of the quiz grades to the overall grade. Since the person currently has an 88% in the class and the quiz grade is 95%, we can calculate the contribution of the quiz grade using the formula:
contribution_of_quiz_grade = (current_grade / total_grade) * weight_of_quiz_grades
Applying the values:
contribution_of_quiz_grade = (88 / 100) * 100 = 88
Now, let's calculate the contribution of the extra credit using the formula:
contribution_of_extra_credit = extra_credit * weight_of_extra_credit
Given that the extra credit is 2%, the contribution of the extra credit would be:
contribution_of_extra_credit = 2 * 2 = 4
To find out if the final grade can become 90%, we need to determine the total contribution of both the quiz grades and extra credit:
total_contribution = contribution_of_quiz_grade + contribution_of_extra_credit
total_contribution = 88 + 4 = 92
Therefore, based on these calculations, even with the addition of 2% extra credit, the total grade would be 92%, not 90%. It seems that their idea of a score similar to 8/5 or 9/5 does not apply in this case.