LOL! You are "da bomb." I could swear the ranges I see of odd numbers I often encountered was wider than that. But perhaps I was riding too much in the narrow odd ranges (and maybe with enough variation to magically skip the even number that separates two odd series). I can't swear that wasn't an even thrown in every now and then that I didn't see, but I also was not in a position to write down all the numbers (or memorize them, which would be impossible for me)
I paid much more attention today and memorized the numbers (since there weren't many). On the first 1.5 hour of my trip, the temps jumped between 41, 43, 45, and 47... all odd, and "47" should not occur if they are using proper rounding. When I stopped and right before I turned off the bike, it then magically showed "46"! The one and only time it appeared, despite dozens of jumps between 45 and 47. And when I started the bike 10 min later for the next hour journey, it showed 46 again, and then went between 46, 48, and 50... jumping all the time. I wish there had been more temperature variation so I could report more, but that is what happened.
So, the conversion from C to F with rounding still explains the bulk of what is happening, but there are still some odd things that don't quite make sense.