> But intelligence (like a lot of natural phenomena) is closer to a normal distribution.
This is a baffling comment - uniform distributions and normal distributions do not differ in any way that is relevant to this topic. What were you trying to say? Why did you leave this comment?
You're introducing fuzzy language/approximations, which I was avoiding: one can say - in absolute terms - that any person above the median is smarter than most of the population.
An IQ band of 85 to 115 has 68% of the population, but are those at the lower end "as smart" as the upper end? The accuracy of your statement depends entirely on how wide your histogram bands are.
In a normal distribution, "average" must always also refer to median; they are always the same value.
...and mode too! I am well aware of the characteristics of a normal distribution (this is HN after all). I was contrasting parents insinuation that gp's assertion on halving only works with uniform distributions
But intelligence (like a lot of natural phenomena) is closer to a normal distribution.