They addressed that back then and said it is mislabeled, the last one should be 40+. No need for conspiracy theories
It's not a "conspiracy theory" to say that errors happen, especially when WotC openly admits that an error happened. It's more correct to say that there's no need for apologism.
sure, but there is being skeptical, and being paranoid.
Yes, and this the former, not the latter.
If I have a reason to assume some numbers are fabricated that is one thing, if I all have is a a distrust and no evidence, that is quite another.
Again, skepticism is the default. You don't need evidence to be skeptical of someone reporting on themselves and not showing how they reached their conclusions; you need a reason
not to be skeptical.
Here it sounds like you expect the numbers to be fabricated
No, it doesn't sound like that. I don't "expect" anything; that's the point. I'm waiting to be convinced, and an infographic with nothing to show how its numbers were reached, on a topic where WotC has a vested interest in what the results say, isn't convincing.
even though you admitted that you do not even know in which direction to manipulate them to make them look better.
Yeah, that's what skepticism is; I'm not starting out with a conclusion, I'm looking at what's been presented and saying that it's insufficient to reach one.
If you do not even know that, then I'd say you should take them at face value.
Quite the contrary, if you take things at face value, you're effectively asking to get things wrong. Just ask everyone who didn't see the mention of the lack of players 46+ years and older in the infographic being a typo; if they took that at face value, they'd think that 5E had no older players. Hence, skepticism is better.
sure, and your evidence for any is?
An absence of evidence is not evidence of absence. In order to conclude that there are no other errors, I'd need to see the underlying data myself.
I assume nothing whatsoever...
You literally just stated that we should take WotC's presentation at face value. That's an assumption, i.e. that it's something which merits being valued on its face.
So given your information concerning the errors in the data, how do you correct the results to account for them?
Again, I'm not presenting "information" regarding the data; I'm pointing out that we don't have sufficient information in that regard. WotC corrects that by turning over their available data for public consumption. If they don't want to do that, that is (as I said before) their prerogative, but it's mine to then continue to find insufficient reason to believe what they tell me.
If all you are saying is, I do not fully trust that these numbers are accurate, there can be polling / statistical anomalies that make them slightly off and there could be math errors too that is one thing.
I'd say it's the right thing.
It is quite another to then make up your own numbers and prefer them over the official ones (or draw your own conclusions that are not supported by the numbers that were presented but could be explained by your tweaks).
Which is why it's fortunate that I haven't done that, which I presume is why you haven't quoted me doing that. Saying that the possibility of there being other, unnoticed errors is just that: a possibility. I need more data in order to rule it out.
So if all you say is 'I am not sure these are 100% reliable', no problem, but for more than that you need better numbers, not a distrust of the presented ones
Which is why we'd all be better served if WotC would release more information about how they got the conclusions they did. And yet we're still waiting for them to do so.