I felt like doing a some calculations regarding my CFA and I thought I'd share. I averaged 16 CFA scores from 16 appointees, and the average came out at 566.5(out of 800). 800 divided by 6(the number of CFA events) is 133.3. 566.5 divided by 6 is 94.4. If I assume the average scores listed on this pdf (
http://www.usma.edu/admissions/Shared Documents/CFA_Instructions.pdf) give you a 94.4, and the max scores listed on this pdf give you a 133.3, I can calculate a rough estimate of what I scored on the CFA. The averages(for males) listed on that document are 67 ft. basketball throw, 9 pull ups, 9.1 shuttle run, 72 sit ups, 54 push ups, and a 6:43 mile. The maxes(for males) listed on the document are 102 ft. basketball throw, 18 pull ups, 7.8 shuttle run, 95 sit ups, 75 push ups, and a 5:20 mile.
For basketball throw I scored got 71 ft. The difference between 67 ft. and 102 ft. is 35 ft. The difference between 94.4 and 133.3 is 38.9. 38.9 divided by 35 is 1.1114. I got 4 feet above the average, so I multiply 4 by 1.1114 and get 4.446. So on the basketball throw I got 4.446 points above average, so on the basketball throw I scored a 98.85 which rounds to 99.
For pull ups I did 14. I did the exact same thing I did for basketball throw except with the pull up numbers. I calculated the score I got and it is 116.
For shuttle run I did the same thing I did for basketball throw with shuttle run numbers. I calculated the score I got and it is 121.
For sit-ups I did the same thing I did for basketball throw with sit-up numbers. I calculated the score I got and it is 75.8.
For push-ups I did the same thing I did for basketball throw with push up numbers. I calculated the score I got and it is 107.36.
Doing the same thing I did for basketball throw with mile run numbers, I calculated that each over 5:20 on the mile costs you .4687 points. I was 171 seconds over this time, so I got a 53.1523.
Overall the score I calculated for myself is 572.3, which rounds to 572. 572 is several points above average(566.5).
If I cut a minute and a half off of my mile(which is realistic for me), I will add 42.18 to my score.
There are several problems with my calculations that could make them inaccurate(number 4 is probably the biggest problem):
1. I assumed that you get the same amount of points for doing pull up number 1 as you do for doing pull up number 10. One might actually get more points for doing pull up number 18. In other words, the point value of each pull up(or any other event in the CFA) may not be constant, but in my calculations the point value is constant for each repetition.
2. Based off of my calculations, one cannot get a very low score(like a 2) on a section. If a male did 0 pull ups, based on my calculations, he would get a 54.
3. The sample size I used to find the average CFA score is fairly small. The average I found is likely off by a bit, but I would guess it is not off by more than 10 so the level of inaccuracy probably did not impact my calculations very much.
4. I assumed each event is weighted equally, and they may not be. The mile may be worth more points than the shuttle run.
5. The 16 CFA scores I used to find the average are over a decade old. The averages and maxes may have changed since then.