I absolutely agree. The lower side of the curve MUST be intersected by zero after 1 SD... - Edit 4
Before modification by Shannow at 02/11/2012 03:27:53 PM
Which throws this entire model out the window. Ad by your reckoning Egwene is nearly as rare as Nynaeve. You are ignoring that there are 2 sides to a Bell Curve and your placements only address 1 half of it that suits your notions. I validate nothing by pointing out that you are just flat out wrong.
The fact is, this Bell Curve cannot have the Mean at half the maximum strength. Daigian's placement makes that impossible.
E.G.
If Moiraine is the Mean at 50 strength, then Daigian is one third of the Mean.
Daigian is 0.32SD from the Mean.
Meaning 0.32SD = 2/3 of the Mean.
Meaning that 1 SD = 2 times Moiraine strength.
Meaning that there are no channelers more than 0.5SD stronger or weaker than Moiraine.
This contradicts a Bell Curve, which has at least 32% of channelers beyond 1 SD.
The traditional Bell Curve is therefore refuted by the maths.
So the options are simple:
Either accept that the Bell Curve cannot apply to the channeling distribution, or else accept that the bottom half of the curve is intersected by zero just below 1 SD below the Mean.