No one (except the NBME) actually knows how the scoring system works and it's not apparently its not as simple as "get X number of questions right and your score = Y". On the real exam of 322 questions, not all 322 questions are counted. Some are just experimental questions, and a few are sometimes discounted because the overwhelming majority of people were unable to get them correct (indicating a possible question presentation error).
To further complicate the situation, not every question is valued at the same amount. Some are worth more than others. So a basic direct diagnosis question may be worth 1pt while a more complex question that takes into account multiple sub-specialties may be worth 2 or 3 points.
Right now there are only a few "assumptions" out in the wind:
(1) You need to answer about 60%-65% of the questions correctly to pass. Once again, this is a very rough estimate considering the variable scoring for each questions.
(2) Over the many years this exam has gone on, people have gotten really high scores, but no one has been able to hit 300. In fact I dont think anyone has ever gotten a 290+ on the exam, so the theory is that 290 might be the highest score, but since we are human and we like nice big round numbers and to adjust for error, we can say that around 300 is the absolute maximum score one could get for answering every single question correctly. Once again this is all just theoretical.
I personally believe that after a certain point, it takes less right answers to increase your score. For instance, the majority of people will get most of the 1pt. questions correct. A decent amount will get the 2pt. questions right. But what distinguishes a 240 from a 250 or a 260, is how many of the more complex 3-4pt questions you can get right. The assumption is you're not gonna get to 240 by missing all the simple questions and answering all the difficult questions, so by the time you get the 240 range, you've probably knocked out most of the easier questions and are left with the hard ones. So each question you get correct 240+ will add a lot more to your score than at 180. That's just my theory.
It would be fun to see how many questions right the guy with the 250 got vs the guy with the 260

Its probably something like 3-4 question difference lol.