Not if the subset is not a random sampling. And the Tower is anything but a random sample. IT has several criteria of exclusion, like removing all women below a particular strength range, not having any women who do not come asking to be made AS, etc. As a result, the distribution will be skewed.
Further, if a subset has a distribution that violates the distribution of the superset, yoy have to assume an error in sampling.

That is indeed wrong.

You're assuming a discontinuous range then. That has absolutely no basis in fact. There is not one shred of proof that certain strengths between the lowest and highest strengths cannot exist, which is what you're implying by having 5 and 20 in your list, but not 10, 15, etc.

See above!

Yes necessarily. the mistake you're making is that you think the bell curve distribution is a hypothesis based on random statistical sampling of all channelers. In that case, it is indeed possible that you'll have no person occupying certain strength scales, which will shift the mean.
In this case however, RJ has declared that all his imaginary characters follow this law. And has given absolutely no indication that there are levels which no human can occupy between the minima and the maxima of the range.

No it cannot. Not in this bell curve. For that, you'll have to prove that no human has strengths like 12000, 11,000, etc. Which is not true at all.


I'm quite aware of this, thank you. Why this is being pointed out is my (as yet unanswered) question.

No he has not! There are women thrown out of the Tower because they're too weak. There are women who become Accepted, but not AS. All these women are rarer than women who can become AS, but the Tower doesn't know because they don't actively hunt out all channelers.

The shield theory works okay within the same gender. But we know men can shield men more easily than men can shield women and vice versa. So I think using this to compare male and female strengths is ridiculous.