12th grade math

[Anonymous]

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:A far higher percentage of kids taking Calc BC exam get 5s than of those taking AB do. Same with Physics C than Physics 1. If you conclude from this that BC is easier than AB and C easier than 1, you yourself need to go back to school and take AP Stats.

Snark aside, I don’t think you understand my point. I agree that you shouldn’t look at percentages of 5 among all test takers, so lets move away from that argument.

To get an accurate comparison we’d need to find the students taking both BC and statistics and see how the scores differ. We don’t have this data so we need to make some assumptions.

Let’s say we look at the top 5% of students in US, that’s about 200k per grade. Let’s assume further that they all take both Statistics and BC through high school. Of those students 50k get a 5 in BC, but only 30k get a 5 in statistics. You can conclude that it is less likely to get a 5 in Statistics than a 5 in BC.

For Statistics it is easy to get the basics, but difficult to master the finer points. For Calculus, the basics are harder to grasp, but once you got them, it’s straightforward to apply to more complex situations.

You offer zero support for your substantial assumptions.

https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf

BC students getting a 5: 49544
Stats students getting a 5: 32165

It’s still better than “calculus is for strong students, statistics is for weak students” because my niece said so.

You don’t seem to understand why those stats don’t support your argument.

+1 Exactly! 😂

[Anonymous]

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:A far higher percentage of kids taking Calc BC exam get 5s than of those taking AB do. Same with Physics C than Physics 1. If you conclude from this that BC is easier than AB and C easier than 1, you yourself need to go back to school and take AP Stats.

Snark aside, I don’t think you understand my point. I agree that you shouldn’t look at percentages of 5 among all test takers, so lets move away from that argument.

To get an accurate comparison we’d need to find the students taking both BC and statistics and see how the scores differ. We don’t have this data so we need to make some assumptions.

Let’s say we look at the top 5% of students in US, that’s about 200k per grade. Let’s assume further that they all take both Statistics and BC through high school. Of those students 50k get a 5 in BC, but only 30k get a 5 in statistics. You can conclude that it is less likely to get a 5 in Statistics than a 5 in BC.

For Statistics it is easy to get the basics, but difficult to master the finer points. For Calculus, the basics are harder to grasp, but once you got them, it’s straightforward to apply to more complex situations.

You offer zero support for your substantial assumptions.

https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf

BC students getting a 5: 49544
Stats students getting a 5: 32165

It’s still better than “calculus is for strong students, statistics is for weak students” because my niece said so.

You don’t seem to understand why those stats don’t support your argument.

+1 Exactly! 😂

Please explain how “those stats” don’t support my “argument”.

I’m betting you can’t without embarrassing yourself! Prove me wrong.

[Anonymous]

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:A far higher percentage of kids taking Calc BC exam get 5s than of those taking AB do. Same with Physics C than Physics 1. If you conclude from this that BC is easier than AB and C easier than 1, you yourself need to go back to school and take AP Stats.

Snark aside, I don’t think you understand my point. I agree that you shouldn’t look at percentages of 5 among all test takers, so lets move away from that argument.

To get an accurate comparison we’d need to find the students taking both BC and statistics and see how the scores differ. We don’t have this data so we need to make some assumptions.

Let’s say we look at the top 5% of students in US, that’s about 200k per grade. Let’s assume further that they all take both Statistics and BC through high school. Of those students 50k get a 5 in BC, but only 30k get a 5 in statistics. You can conclude that it is less likely to get a 5 in Statistics than a 5 in BC.

For Statistics it is easy to get the basics, but difficult to master the finer points. For Calculus, the basics are harder to grasp, but once you got them, it’s straightforward to apply to more complex situations.

You offer zero support for your substantial assumptions.

https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf

BC students getting a 5: 49544
Stats students getting a 5: 32165

It’s still better than “calculus is for strong students, statistics is for weak students” because my niece said so.

You don’t seem to understand why those stats don’t support your argument.

Let me fix it for you.

You don’t understand why those stats support my argument.

To be fair, you don’t seem to understand even what the stats are or what my argument is.

Just for lolz I’ll try to explain it to you at the 3rd grade level, see if you can follow.

Let N(BC=5) be the number of students getting a 5 in AP Calculus BC exam.
Let N(Stat=5) be the number of students getting a 5 in AP Statistics exam.
Let N be the population size for determining the probability of receiving a 5 in the AP exams.

From the reference shown earlier:
N(BC=5) > N(Stat=5).

Dividing by N, the population size:
N(BC=5)/N > N(Stat=5)/N

The ratios represent the probabilities, P, of a student receiving the highest score:
P(BC=5) > P(Stat=5)

Hence it is less likely for a student to get a 5 in Statistics than a 5 in Calculus BC, when the probability is calculated for the same population that include all students getting a 5 on either exam.

QED.

But they are not the same population.

[Anonymous]

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:A far higher percentage of kids taking Calc BC exam get 5s than of those taking AB do. Same with Physics C than Physics 1. If you conclude from this that BC is easier than AB and C easier than 1, you yourself need to go back to school and take AP Stats.

Snark aside, I don’t think you understand my point. I agree that you shouldn’t look at percentages of 5 among all test takers, so lets move away from that argument.

To get an accurate comparison we’d need to find the students taking both BC and statistics and see how the scores differ. We don’t have this data so we need to make some assumptions.

Let’s say we look at the top 5% of students in US, that’s about 200k per grade. Let’s assume further that they all take both Statistics and BC through high school. Of those students 50k get a 5 in BC, but only 30k get a 5 in statistics. You can conclude that it is less likely to get a 5 in Statistics than a 5 in BC.

For Statistics it is easy to get the basics, but difficult to master the finer points. For Calculus, the basics are harder to grasp, but once you got them, it’s straightforward to apply to more complex situations.

You offer zero support for your substantial assumptions.

https://apcentral.collegeboard.org/media/pdf/ap-score-distributions-by-subject-2022.pdf

BC students getting a 5: 49544
Stats students getting a 5: 32165

It’s still better than “calculus is for strong students, statistics is for weak students” because my niece said so.

You don’t seem to understand why those stats don’t support your argument.

Let me fix it for you.

You don’t understand why those stats support my argument.

To be fair, you don’t seem to understand even what the stats are or what my argument is.

Just for lolz I’ll try to explain it to you at the 3rd grade level, see if you can follow.

Let N(BC=5) be the number of students getting a 5 in AP Calculus BC exam.
Let N(Stat=5) be the number of students getting a 5 in AP Statistics exam.
Let N be the population size for determining the probability of receiving a 5 in the AP exams.

From the reference shown earlier:
N(BC=5) > N(Stat=5).

Dividing by N, the population size:
N(BC=5)/N > N(Stat=5)/N

The ratios represent the probabilities, P, of a student receiving the highest score:
P(BC=5) > P(Stat=5)

Hence it is less likely for a student to get a 5 in Statistics than a 5 in Calculus BC, when the probability is calculated for the same population that include all students getting a 5 on either exam.

QED.

But they are not the same population.

Ok, now estimate the conditional probability that a student took AP Statistics given that they got a 5 in AP calculus BC. I don’t know any that didn’t, but let’s say 80%.

Find the upper bound for the conditional probability that a student gets a 5 in AP Statistics given he got a 5 in AP Calculus BC. Answer: p<65%, from the link I posted before. If you also include the estimate from the previous paragraph, then p<52%.

Now explain how AP Statistics is for weak math students.