I noticed that the OP put 139 as the result if the second IQ test in the first place, then goes on to wonder whether he sounds like a 136 kid.
That said, the scores are still clustered pretty close, especially considering the kids young age - before the age of 7, the scores can be all over the place after all. It stands to reason that a test in which the child was noticeably distracted might underestimate a bit, so the 143 resp. 145 results are probably closer to his real ability/achievement. I'd imagine the school might place more emphasis on the achievement testing anyway, and it would surprise me to hear of any school (I mean teachers and administrators, obviously some a schools have staff like aeh!) who realized exactly what difference 136 and 145 makes. It's out of range for what they are used to and can accommodate, period.
So unless you have a gifted program in mind that has hard and fast cutoffs at the 145 mark, it shouldn't really matter for your advocacy, as schools are much more likely to react to the child they see as opposed to test scores. In your case, it sounds like he might be a good candidate for a grade skip, especially if he does well on medication.
Last edited by Tigerle; 12/08/14 12:27 AM.