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Agreed Sidious Send a noteboard - 18/12/2009 01:04:14 PM
It is, after all, merely a representation, and it doesn't make an ounce of actual difference if we take the range to be 1 to 1 million. The inescapable conclusion that most channelers have half of Rand's effective strength is still going to be there.

As for what the standard deviation here is, it seems clear, given the general rule of normal distributions that 68% of the population falls within one standard deviation of the mean, that the standard deviation is going to be rather high because the weakest Aes Sedai has 37.5% of channelers weaker than her according to RJ. This means that the one standard deviation exceeds the range from the weakest AS to a woman of strength 50.

Given a 21 level list, I'd say each level is of 4.75 strength, making the halfway mark to be around 50. Works well enough, overall.


These are just example. Again, I don't care if you think they are right or wrong - I'm trying trying to talk about statistics.

Rand - 25,000 units of OP
Moridin - 24,500
Lanfear - 24,000
Semirhage - 20,000
Nynaeve - 19,500
Moghiedien - 15,000
Egwene - 10,000
Moiraine - 4,000
The average AS - 3,000
Siuan - 2000

Considering the tower has ~1000 AS, and going by normal distribution, there will be 68% of AS within one standard deviation. That means, if we assume 3,000 units is the Tower mean, then 68% will be within one SD of that. The SD will be whatever strength level accounts for 34% of AS greater than the mean (or 34% less than the mean), going in sequential order of strength.

Let's just assume that that the standard deviation in the tower is 500 units. That 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).
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.

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.

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).
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The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha - 17/12/2009 03:32:03 PM 8504 Views
I assume you're referring to EFFECTIVE strength here... - 17/12/2009 04:27:53 PM 1700 Views
Re: I assume you're referring to EFFECTIVE strength here... - 17/12/2009 05:05:18 PM 1665 Views
Fair enough but the problem is... - 17/12/2009 05:13:39 PM 1479 Views
There's one thing that does suggest Lanfear is very dextrous... - 17/12/2009 05:49:14 PM 1579 Views
Re: Fair enough but the problem is... - 17/12/2009 08:08:27 PM 1157 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha - 17/12/2009 04:52:56 PM 1570 Views
Alivia's rings and chains angreal multiplies strength by 4 times or more... - 17/12/2009 04:57:17 PM 1458 Views
Indeed, and not only that - 17/12/2009 05:10:46 PM 1161 Views
Re: Alivia's rings and chains angreal multiplies strength by 4 times or more... - 17/12/2009 06:07:39 PM 1195 Views
Moiraine at 45 strength is way too high. She can't be that high. *NM* - 17/12/2009 07:44:50 PM 774 Views
why? - 17/12/2009 07:57:37 PM 1268 Views
Re: why? - 17/12/2009 08:11:13 PM 1340 Views
I don't think there is one scale you can put both men and women on is the point - 17/12/2009 08:21:21 PM 1309 Views
and yet RJ does - 17/12/2009 08:27:39 PM 1226 Views
Re: and yet RJ does - 17/12/2009 09:49:20 PM 1094 Views
Re: and yet RJ does - 18/12/2009 04:20:16 AM 1159 Views
No more liberty than you are taking assuming only a woman like Graendal could do it! - 18/12/2009 05:08:04 PM 1307 Views
Re: No more liberty than you are taking assuming only a woman like Graendal could do it! - 19/12/2009 11:53:24 AM 1052 Views
Re: No more liberty than you are taking assuming only a woman like Graendal could do it! - 19/12/2009 05:12:47 PM 996 Views
Meh... - 19/12/2009 06:01:56 PM 997 Views
Re: Meh... - 19/12/2009 06:43:58 PM 1058 Views
Re: Meh... - 19/12/2009 06:46:03 PM 1345 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha - 17/12/2009 05:07:28 PM 1274 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha - 17/12/2009 06:24:12 PM 1182 Views
Let's work with your figures... - 17/12/2009 06:45:46 PM 1113 Views
Re: Let's work with your figures... - 17/12/2009 07:16:49 PM 1109 Views
You have a good point about Daigian and Semirhage. That may have been a BS mistake. *NM* - 17/12/2009 07:50:25 PM 743 Views
Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake. - 17/12/2009 07:59:13 PM 1217 Views
Still, it's created more questions than it has solved. - 17/12/2009 08:13:26 PM 1233 Views
the obvious answer - 17/12/2009 10:06:33 PM 1071 Views
Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake. - 17/12/2009 08:14:01 PM 1118 Views
Re: two women holding Nynaeve - 17/12/2009 08:17:10 PM 1056 Views
Re: two women holding Nynaeve - 17/12/2009 08:19:34 PM 1234 Views
I personally think Nynaeve gained strength slower than most because of her block. - 17/12/2009 08:30:44 PM 1317 Views
I think all the main characters were forced - 17/12/2009 08:38:41 PM 1206 Views
agreed! - 17/12/2009 10:01:37 PM 1132 Views
but we know as late as WH that she has not reached her full potential - 17/12/2009 09:50:12 PM 1141 Views
What? Where? *NM* - 18/12/2009 04:22:36 AM 1195 Views
I'll have to dig up the quote, apologies but I'm at work and don't have the books - 18/12/2009 05:00:20 PM 1125 Views
Sorry, Path of Daggers not Winter's Heart - 20/12/2009 03:32:33 AM 1081 Views
Don't links amplify stength? - 17/12/2009 10:26:12 PM 1027 Views
The opposite, actually. - 17/12/2009 10:36:51 PM 1126 Views
What do you think of the gap between Moghedien and Semirhage in relation to - 17/12/2009 05:40:41 PM 1285 Views
Re: What do you think of the gap between Moghedien and Semirhage in relation to - 17/12/2009 08:15:58 PM 1170 Views
Agreed! *NM* - 17/12/2009 08:19:08 PM 659 Views
Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha - 17/12/2009 06:47:23 PM 1218 Views
Except tthat Egwene herself says she has no chance against Moghedien... - 17/12/2009 06:53:18 PM 1188 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... - 17/12/2009 07:26:55 PM 1419 Views
uhm.... yes she knows - 17/12/2009 08:04:08 PM 1266 Views
Re: uhm.... yes she knows - 17/12/2009 10:24:17 PM 1145 Views
yup *NM* - 17/12/2009 10:49:51 PM 615 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... - 17/12/2009 07:28:00 PM 1224 Views
Re: Except tthat Egwene herself says she has no chance against Moghedien... - 17/12/2009 08:23:01 PM 1411 Views
Ishamael told her that she would never be strong enough to face him - 17/12/2009 09:52:47 PM 1163 Views
And Ishamael was killed be a shepherd and Bel'al balefired by a "weak" Aes Sedai. - 17/12/2009 10:33:41 PM 1102 Views
I hope that's not your standard for dueling - 18/12/2009 04:24:09 AM 1135 Views
what you expect a Channeler to announce themselves and - 19/12/2009 12:47:17 AM 1137 Views
How can we be certain Egwene was at full strength when she said that? - 17/12/2009 07:58:39 PM 1062 Views
agreed - 17/12/2009 08:00:40 PM 1031 Views
Didn't the glossary say that Cadsuane was not far behind Eg/El? *NM* - 17/12/2009 08:05:32 PM 667 Views
I'll check *NM* - 17/12/2009 08:28:57 PM 638 Views
This thread has achieved absolutely nothing. When people don't accept quotes, what's the use... - 17/12/2009 10:22:45 PM 1191 Views
No people just interpret things differently - 17/12/2009 10:56:45 PM 992 Views
But you ignore RJ's own quotes... who're you to talk? - 17/12/2009 11:13:40 PM 934 Views
You also forget something. - 17/12/2009 11:36:50 PM 1027 Views
Re: You also forget something. - 17/12/2009 11:43:50 PM 1052 Views
Re: You also forget something. - 18/12/2009 02:09:08 AM 1078 Views
That has nothing to do with what I said... - 18/12/2009 12:21:06 AM 1050 Views
Re: That has nothing to do with what I said... - 18/12/2009 01:28:53 PM 959 Views
Dude, prove it in a random sample, not in a skewed sample like "women who want to be Aes Sedai". - 18/12/2009 05:43:22 PM 986 Views
Show me a random sample in the series that we can use *NM* - 18/12/2009 06:45:08 PM 976 Views
I cannot. That's the point... - 18/12/2009 08:33:38 PM 1005 Views
Re: I cannot. That's the point... - 19/12/2009 11:58:39 AM 1015 Views
Sorry, but no... - 19/12/2009 06:23:41 PM 1051 Views
The One Power Bell Curve's average strength is not 50, it is more like 15... - 17/12/2009 11:41:48 PM 1523 Views
but you are the person quantifying the actual strength levels. - 18/12/2009 12:09:08 AM 1021 Views
Yes, Sidious' scale is a relative scale not an absolute one *NM* - 18/12/2009 12:23:25 AM 918 Views
In a Bell curve, mean=median=mode. I suppose that is untrue now? - 18/12/2009 12:37:47 AM 967 Views
Re: In a Bell curve, mean=median=mode. I suppose that is untrue now? - 18/12/2009 12:47:52 AM 1017 Views
What do you mean, relative scale? - 18/12/2009 12:53:29 AM 971 Views
Re: What do you mean, relative scale? - 18/12/2009 01:16:53 AM 908 Views
Re: What do you mean, relative scale? - 18/12/2009 01:40:33 AM 979 Views
OK, I have no interest in OP Strength, but you comments about statistics and bell curve got me - 18/12/2009 12:20:27 AM 1039 Views
1 to 100 works perfectly well as a range... - 18/12/2009 12:47:44 AM 948 Views
Here is an example with an absolute scale, converted to relative - 18/12/2009 01:03:38 AM 1064 Views
The Tower is not the whole range of channeler population! - 18/12/2009 01:28:38 AM 1082 Views
Re: The Tower is not the whole range of channeler population! - 18/12/2009 02:03:00 AM 1147 Views
Re: The Tower is not the whole range of channeler population! - 18/12/2009 03:16:25 AM 1086 Views
You're right, and that proves my point - here are the calculations and the evidence... - 18/12/2009 07:51:26 AM 1069 Views
Dude, read up on some statistics, then we'll continue this debate... - 18/12/2009 06:05:26 PM 979 Views
Explain one thing to me... - 18/12/2009 10:40:00 PM 1002 Views
Who said she's stronger than two very strong AS? Silviana can shield her alone! *NM* - 18/12/2009 11:01:01 PM 567 Views
Aviendha said so in FoH. It is a direct quote. - 18/12/2009 11:04:21 PM 960 Views
This is why I have a hard time with anyone using too many - 19/12/2009 12:22:40 AM 1005 Views
Can you provide the quote? - 19/12/2009 06:24:40 PM 923 Views
Well, I was curious so I went and found it - 26/12/2009 08:59:46 PM 1100 Views
which is also suspect - 19/12/2009 12:04:14 AM 1003 Views
No it's not - 19/12/2009 12:04:21 PM 999 Views
we're in agreement - 19/12/2009 05:22:34 PM 945 Views
OK, the Tower AS don't fall into a bell-curve, then. - 18/12/2009 10:34:16 PM 1018 Views
So, RJ made that statement for what reason? - 18/12/2009 11:03:30 PM 992 Views
I don't think it's a lie - 18/12/2009 11:19:41 PM 1046 Views
Agreed - 18/12/2009 01:04:14 PM 987 Views
Re: But you ignore RJ's own quotes... who're you to talk? - 18/12/2009 04:31:53 AM 988 Views
Re: But you ignore RJ's own quotes... who're you to talk? - 18/12/2009 04:42:33 AM 953 Views
Re: But you ignore RJ's own quotes... who're you to talk? - 18/12/2009 01:04:39 PM 1006 Views
Bell curves CANNOT be skewed! - 18/12/2009 06:06:15 PM 1055 Views
I've discussed this before... - 18/12/2009 01:06:07 AM 1053 Views
Re: I've discussed this before... - 18/12/2009 04:37:30 AM 1034 Views
Re: I've discussed this before... - 18/12/2009 04:58:48 AM 1009 Views
Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself... - 18/12/2009 07:02:28 AM 1046 Views
Why are you entertaining this? - 18/12/2009 01:19:25 PM 1019 Views
Re: Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself... - 19/12/2009 12:46:18 AM 1023 Views
I can't imagine it being about skill - 19/12/2009 12:06:42 PM 1032 Views
of course it's about skill - 19/12/2009 05:22:45 PM 1018 Views
Not it isn't! - 19/12/2009 05:52:02 PM 1043 Views
I always thought that without her angreal... - 18/12/2009 06:27:07 AM 1099 Views
Egwene, Elayne, and Aviendha are equally matched. - 18/12/2009 07:47:03 AM 1244 Views

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