The fact that Daigian's exact position is confirmed without a doubt makes certain implications unavoidable, thus invalidating most of your suggestions above.

For example.

Daigian IS 0.32 SD from the Mean. That's a fact, based on 37.5% of the population falling below her. That is indisputable. So, if as you suggest, we put Moiraine (who is at least 3 times Daigian's strength) at the Mean, that would mean that the SD is at least 6 times Daigian's strength (2 times Moiraine's strength).

That would mean that a channeler 1 SD above the mean would be 2 times as strong as Moiraine, and a channeler 2 SD above the Mean would be 4 times Moiraine's strength, invalidating the whole reason you put Moiraine at a hypothetical 50.

As I said in my first post, the numbers you assign to an individual are irrelevent. The maths remain the same in assigning proportionate strength to them. Meaning that if you make Daigian a 16 and Moiraine a 50, then it simply means that the strength scale becomes a 1-150 scale, instead of a 1-100 scale.

The fact is that for a normal distribution to apply, given Daigian's position 0.32 standard deviations from the Mean, and given the number of times Moiraine and Egwene are stronger than Daigian, the model HAS to have a Mean relatively close to Daigian's strength level.

The other issue you raised is Egwene. This model is based on the assumption that Egwene lies 3 SD above the Mean. You propose 4 SD as more appropriate.

This does not fit the evidence in the books, because a channeler 4 SD above the Mean would be a 1 in 32000 occurence more or less, using Sidious's quick reference guide above.

Egwene is not close to that level of rarity. We have 10 or more channelers of her strenth just from the 5,000-10,000 Aes Sedai, Aiel, Kin, and Windfinder channelers.

She is a 3 SD level of rarity at most.

I appreciate you making these suggestions, because in answering them, the correctness of the model is simply being confirmed.

Daigian being 0.32 SD below the Mean imposes a bunch of irrefutable restrictions that cannot be circumvented, and which solidifies the relative strength of the channeling population beyond doubt, to be honest.