If you don't care what I think, then you shouldn't be debating with me!



I'll let this stand.


The normal distribution encompasses all women according to RJ, not just women in the Tower or women strong enough to be admitted in the Tower.
Women like Sorilea and Morghase can never be Aes Sedai, but they must be considered in the bell curve. Meaning that in your range, we need values below 2000 to get any accurate values.
Second, if the strongest possible woman has an effective strength of 25000 units (which is true, since RJ said that effectively, the strongest woman equals the strongest man), and the weakest 100 (or one or 20, take your pick), then the mean will be the median of these values.

I see no reason to assume such a ridiculous value for the mean. It violates the central feature of a normal distribution that the mean equals the median. And the median of the range 2000 to 25000 is most certainly not 3000!

Again, you assume female channeler=Aes Sedai. You're also working from a very weird assumption for the value of the mean that is mathematically insupportable.
I frankly don't see why the standard deviation is being dragged into this at all. Whatever the standard deviation turns out to be for this range of 2k-25k, the median and the mean of the distribution will be 13500.

I haven't done the calcualtions, but on what basis is this assumed? Further, why is this assumed at all? Sure, the standard deviation can help us define the range. But with the range already defined, this is a needless calculation for our pusposes.
quoteThat puts Moirane (4,000 units) in the top 2.5% of the Tower (25 strongest Aes Sedai) and the new Siuan (2,000 units) in the bottom 2.5 % of the Tower (25 weakest Aes Sedai).
Okay... I'm still waiting to see what all this says about channelers as a whole.

Each is 2 standard deviations from the mean of 3,000, which means the middle of the bell curve accounts for 95% of sisters, with Moiraine and Siuan on opposite ends of the curve.

Dude, you assumed the mean (erroneously), you assumed the standard deviations, you assumed the distance from the mean at which Moiraine and Siuan are placed and then strung these together to give me "proof" that Moiriane being less than a sixth as strong as Rand is supported by the bell curve. I could have done the same thing and "proved" that Moiraine is of strength 20, and Rand 25000!

Notice that the "Big Dogs" are well above that. You have to consider that there are very few "Big Dogs" compared to your run of the mill AS.

There should also be an equally tiny number of "small dogs" which you seem to have ignored completely.

I believe Sidious' scale was meant to be (or should be) some sort of exponential scale. There is no way that 2 average AS would be able to subdue Rand (in fact, they can't).

Well, no one is saying two average AS can subdue Rand. Show me where anyone assumed that and I'll concede the point. All we're saying is that by any twisting you do, the average female strength, which will be the strength of the largest number of women, will be half that of Rand's.