The score reports indicated that the average/mean was 500, with a standard deviation of 100. His 369 would fall in the "2nd decile". Some other people I know who scored in the 500s (around 80%) would fall in the "7th decile". Only about 20 questions separated them.
The other thing is, would you get a recount in that situation? I know the ABIM says a different score on recount would be very unlikely, and all they do is check the last clicked answer for each question with their records.