It depends on how many credits the "A" is worth vs. how many total credits the 1.82.
The less number of credits the 1.82 make up, the more the A (or an F) will influence it.
Let's say that the 1.82 is from 8 credits before this A. So that means the total points you've earned is:
1.82 * 8 = 14.56
If you got an A, we'll add 4 points to this, then divide it by 9 (since you now have 9 credits) to see what we get:
14.56 + 4 = 18.56
18.56 / 9 = 2.06
So the A increased the 1.82 to a 2.06
If we do the same math, assuming the 1.82 was from 16 credits instead, adding an A as a 17th credit does this:
1.82 * 16 = 29.12
29.12 + 4 = 33.12
33.12 / 17 = 1.95
So you can see that it increases be a lesser amount.
The F will lower the average, and again, the more credits you've already completed the less the F will affect your GPA. It adds no points to your score, just higher denominator, so using the same 2 examples, but adding 0 instead of 4, we get:
Like Some Body said, there's not really enough information for an answer here. The answer depends on how may total grade points the average is based on.
But, treating this as a math problem, the simplest fraction I can find that's equal to 1.82 when rounded to two decimal places is 20/11. So, that average could be the result of 11 equally-weighted grade point values with each in {0, 1, 2, 3, 4}.
In that case, removing one F would leave the 20 alone (subtracting 0 grade points for an F), but reduce the number of grades being averaged from 11 to 10. Then 20/10 would be a GPA of 2.0; a bare-minimum C minus.
What sort of school hands out grades one at a time, so that a single "recent A they got" could actually be received to produce a GPA change? Normally, grades points are computed for all classes at once in a given term.
It wouldn't. A 4.0 is an A; 3.0 a B; 2.0 a C; 1 a D and 0( ZERO ) is an F. The GPA (Grade Point Average) is determined by adding the points received from each class taken and the total divided by the total number of classes taken. A 1.82 GPA is basically a D+.
There’s no enough info to answer the question. How many credits or classes make up that gpa. You multiply the gpa by the number of credits or classes. Then subtract the points for the F then divide by the new number of classes or credits.
Let’s say it was 15 credits and the class was worth 3 credits so it’s 1.82(15) = 27.3. Subtract 3 (3 credits, F = 1 point). 24.3/12 = 2.025.
Not enough information. GPA is an average of grades. In order to know the impact a single grade will have, you also need to know the number of grades you have.
For example, someone who has 1 A and 1 B will have the same average as someone who has 100 As and 100 Bs. But the first person's GPA is easily changed, while the second person's GPA isn't.
Answers & Comments
It depends on how many credits the "A" is worth vs. how many total credits the 1.82.
The less number of credits the 1.82 make up, the more the A (or an F) will influence it.
Let's say that the 1.82 is from 8 credits before this A. So that means the total points you've earned is:
1.82 * 8 = 14.56
If you got an A, we'll add 4 points to this, then divide it by 9 (since you now have 9 credits) to see what we get:
14.56 + 4 = 18.56
18.56 / 9 = 2.06
So the A increased the 1.82 to a 2.06
If we do the same math, assuming the 1.82 was from 16 credits instead, adding an A as a 17th credit does this:
1.82 * 16 = 29.12
29.12 + 4 = 33.12
33.12 / 17 = 1.95
So you can see that it increases be a lesser amount.
The F will lower the average, and again, the more credits you've already completed the less the F will affect your GPA. It adds no points to your score, just higher denominator, so using the same 2 examples, but adding 0 instead of 4, we get:
1.82 * 8 = 14.56
14.56 / 9 = 1.62
----
1.82 * 16 = 29.12
29.12 / 17 = 1.71
So they get lowered to 1.62 or 1.71.
We need the total credits that make up the average.
If you had one A, one F and one C you would have a 2.0, changing the F to an A would change to a 3.33 average.
But if you had 10 C's you would still have a 2.0, but if you changed the F to an A you would only get 2.33 average.
Like Some Body said, there's not really enough information for an answer here. The answer depends on how may total grade points the average is based on.
But, treating this as a math problem, the simplest fraction I can find that's equal to 1.82 when rounded to two decimal places is 20/11. So, that average could be the result of 11 equally-weighted grade point values with each in {0, 1, 2, 3, 4}.
In that case, removing one F would leave the 20 alone (subtracting 0 grade points for an F), but reduce the number of grades being averaged from 11 to 10. Then 20/10 would be a GPA of 2.0; a bare-minimum C minus.
What sort of school hands out grades one at a time, so that a single "recent A they got" could actually be received to produce a GPA change? Normally, grades points are computed for all classes at once in a given term.
It wouldn't. A 4.0 is an A; 3.0 a B; 2.0 a C; 1 a D and 0( ZERO ) is an F. The GPA (Grade Point Average) is determined by adding the points received from each class taken and the total divided by the total number of classes taken. A 1.82 GPA is basically a D+.
One A isn't going to move it much at all...
Let me guess, you got the F in math.
There’s no enough info to answer the question. How many credits or classes make up that gpa. You multiply the gpa by the number of credits or classes. Then subtract the points for the F then divide by the new number of classes or credits.
Let’s say it was 15 credits and the class was worth 3 credits so it’s 1.82(15) = 27.3. Subtract 3 (3 credits, F = 1 point). 24.3/12 = 2.025.
Not enough information. GPA is an average of grades. In order to know the impact a single grade will have, you also need to know the number of grades you have.
For example, someone who has 1 A and 1 B will have the same average as someone who has 100 As and 100 Bs. But the first person's GPA is easily changed, while the second person's GPA isn't.