5 ms·

Arguably 5s on her APs tells her where she sat nationally, I was under the impression that AP tests were the same across the board, while they don’t rank you ag

by vxNsr 5y ago

Arguably 5s on her APs tells her where she sat nationally, I was under the impression that AP tests were the same across the board, while they don’t rank you against other students the test is made to be just as difficult for the top elite college prep private school students as it is for the inner city public school students. The assumption being the AP class material is the same.

kragen 5y ago
Sure but 38% of AP Calculus BC takers get a 5 so it doesn't give you much information.
- colinmhayes 5y ago
  Taking the Calculus BC test already puts you in the upper echelon of high school math students though. According to a quick google only 15% of high schoolers will take the BC exam, so getting a 5 is something only 5% of students achieve.
  - kragen 5y ago
    That's the student providing 2.7 bits of information ("I want to take this exam") and getting an additional 1.4 bits from the result. By contrast, being valedictorian is about 10 bits of information, and being in the 99th percentile on a test (1510+ on the SAT) is 6.6 bits. Scoring 1600 on the SAT is 12 bits. So the SAT can easily give you 7 times as much info as the AP BC, and it's more about your aptitude than your achievement.
    - colinmhayes 5y ago
      You don't need information theory to tell me that 1% is less than 5%. Obviously scoring in the top 1% of a test everyone takes provides more information than getting a 5 on an AP test. But that 5 still provides, as you put it, 4ish bits of information, which is a lot more than the 0 you have without it or other standardized tests. How many bits do you really need to know that you're a good candidate for continued education? Is being in the top 5% really not enough?
      - kragen 5y ago
        Zero bits, because everyone is a good candidate for continued education. From the point of view of MIT, admitting you has a significant downside: they have to turn down someone else, someone who might have been able to do better research than you do and donate more as an alumnus. But from the point of view of an individual person, more education is always better, because your alternative to education is not admitting someone better; your alternative to education is ignorance. (Schooling may not be the best way to get that education, however... far too many people opt for ignorance after their schooling.) I didn't say the 5 gives you 4ish bits of information. I said it gives you 1.4 bits of information. That's only 35% of 4, not very 4ish at all. It's barely in the order of magnitude centered on 4 (1.26 to 12.6).
        colinmhayes 5y ago
        > I didn't say the 5 gives you 4ish bits of information. I said it gives you 1.4 bits of information. Which is obviously wrong. The self-selection does provide a lot of information. Students who believe themselves unlikely to score well are unlikely to take the test, which is why so many students get a 5.
    - doetoe 5y ago
      If I understand you correctly you are assuming that being valedictorian, scoring 1510+ and scoring 1600 are all independent events.
      - kragen 5y ago
        No, I was considering them as happening to potentially different people at potentially different times. It's definitely true that if you somehow know you have scored 1510+ then finding out that you scored 1600 only gives you an extra 5.6 bits of information, and if you know that you scored 1600 then the fact that you scored 1510+ gives you 0 additional bits of information. And the correlation with being valedictorian is also pretty strong. Scoring 1600 intersection being valedictorian definitely does not give you 22 bits of information. Maybe 13. Also being valedictorian gives you less information than 10 bits about your relative countrywide or worldwide standing.
  - crackercrews 5y ago
    15% sounds very high. My quick google showed that only 15% take any calculus. [1] 1: https://www.edweek.org/teaching-learning/calculus-is-the-peak-of-high-school-math-maybe-its-time-to-change-that/2018/05#:~:text=Today%2C%20some%20800%2C000%20students%20nationwide,the%20course%20before%2011th%20grade https://www.edweek.org/teaching-learning/calculus-is-the-pea....
david927 5y ago
Yeah, there's some truth to that because she applied to Oxford earlier this year, before she got the SAT results and she got to the interview having passed the academic requirements with mainly the five APs of 5. Still, I think the SAT results proved it to her in a way that wasn't ambiguous.
- seanmcdirmid 5y ago
  Does Oxford care about SATs at all? They have their own system in the UK right?
  - david927 5y ago
    The SAT score played no role as far as I know.

by vxNsr 5y ago

kragen 5y ago

Sure but 38% of AP Calculus BC takers get a 5 so it doesn't give you much information.

colinmhayes 5y ago
Taking the Calculus BC test already puts you in the upper echelon of high school math students though. According to a quick google only 15% of high schoolers will take the BC exam, so getting a 5 is something only 5% of students achieve.
- kragen 5y ago
  That's the student providing 2.7 bits of information ("I want to take this exam") and getting an additional 1.4 bits from the result. By contrast, being valedictorian is about 10 bits of information, and being in the 99th percentile on a test (1510+ on the SAT) is 6.6 bits. Scoring 1600 on the SAT is 12 bits. So the SAT can easily give you 7 times as much info as the AP BC, and it's more about your aptitude than your achievement.
  - colinmhayes 5y ago
    You don't need information theory to tell me that 1% is less than 5%. Obviously scoring in the top 1% of a test everyone takes provides more information than getting a 5 on an AP test. But that 5 still provides, as you put it, 4ish bits of information, which is a lot more than the 0 you have without it or other standardized tests. How many bits do you really need to know that you're a good candidate for continued education? Is being in the top 5% really not enough?
    - kragen 5y ago
      Zero bits, because everyone is a good candidate for continued education. From the point of view of MIT, admitting you has a significant downside: they have to turn down someone else, someone who might have been able to do better research than you do and donate more as an alumnus. But from the point of view of an individual person, more education is always better, because your alternative to education is not admitting someone better; your alternative to education is ignorance. (Schooling may not be the best way to get that education, however... far too many people opt for ignorance after their schooling.) I didn't say the 5 gives you 4ish bits of information. I said it gives you 1.4 bits of information. That's only 35% of 4, not very 4ish at all. It's barely in the order of magnitude centered on 4 (1.26 to 12.6).
      - colinmhayes 5y ago
        > I didn't say the 5 gives you 4ish bits of information. I said it gives you 1.4 bits of information. Which is obviously wrong. The self-selection does provide a lot of information. Students who believe themselves unlikely to score well are unlikely to take the test, which is why so many students get a 5.
  - doetoe 5y ago
    If I understand you correctly you are assuming that being valedictorian, scoring 1510+ and scoring 1600 are all independent events.
    - kragen 5y ago
      No, I was considering them as happening to potentially different people at potentially different times. It's definitely true that if you somehow know you have scored 1510+ then finding out that you scored 1600 only gives you an extra 5.6 bits of information, and if you know that you scored 1600 then the fact that you scored 1510+ gives you 0 additional bits of information. And the correlation with being valedictorian is also pretty strong. Scoring 1600 intersection being valedictorian definitely does not give you 22 bits of information. Maybe 13. Also being valedictorian gives you less information than 10 bits about your relative countrywide or worldwide standing.
- crackercrews 5y ago
  15% sounds very high. My quick google showed that only 15% take any calculus. [1] 1: https://www.edweek.org/teaching-learning/calculus-is-the-peak-of-high-school-math-maybe-its-time-to-change-that/2018/05#:~:text=Today%2C%20some%20800%2C000%20students%20nationwide,the%20course%20before%2011th%20grade https://www.edweek.org/teaching-learning/calculus-is-the-pea....

david927 5y ago

Yeah, there's some truth to that because she applied to Oxford earlier this year, before she got the SAT results and she got to the interview having passed the academic requirements with mainly the five APs of 5. Still, I think the SAT results proved it to her in a way that wasn't ambiguous.

seanmcdirmid 5y ago
Does Oxford care about SATs at all? They have their own system in the UK right?
- david927 5y ago
  The SAT score played no role as far as I know.