In a Bell curve, mean=median=mode. I suppose that is untrue now?
fionwe1987 Send a noteboard - 18/12/2009 12:37:47 AM
I'll quote the wiki article on normal distribution/bell curve distribution just so there is no confusion on this:
Parameter ? is called the mean, and it determines the location of the peak of the density function. Point x = ? is at the same time the mean, the median and the mode of normal distribution.
Is that clear?
Now, RJ very very clearly said that all, I repeat ALL, channelers are distributed in a bell curve. Very clearly, people like Rand are not excluded from this distribution.
Therefore, if you're going to take Rand as the theoretical maximum in OP strength, and someone like Morghase as the theoretical minimum, the range of the bell curve will be from Morghase to Rand.
We have arbitrarily used strengths from 1 to 100 to designate the Morghase to Rand range. You can choose 2 to 947, for all I care, but the fact remains that no matter how you want to interpret the text, no matter how you want to curve your hand around your head to touch your nose, the mean, median and mode of this range will be the same for a bell curve distribution.
In a 1 to 100 range, 50 will have to be the median. As wiki says:
The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one. If there is an even number of observations, then there is no single middle value, so one often takes the mean of the two middle values.
Thus, 50 is the median. And since the range 1-100 is distributed normally among the channeling population, the mean of the channeling population is also going to be 50. This is a mathematical truth, and there's no other possible interpretation!
Which means the average woman has an effective strength of 50, which is half of Rand's strength. This also means more women will be of this strength than any other.
Now, you have several options.
You could make the infantile argument that RJ did not have any idea what a Bell Curve was.
You can say that there are tons of Egwene level (50 according to you) channelers out there who have never been discovered, and some mysterious force prevented every single one of these women from finding their way to the Tower for a thousand years.
Or, you can admit that me and Darius are correct, that the strength of 50 reflects the strength of a strong Aes Sedai like Anaiya and that women like Egwene are much rarer and likely somewhere between 60 and 70. You can also pay attention to the very well known fact that it is harder for women to shield men and vice versa.
Me and Darius think that math and RJ's quotes should colour ou reading of the text. This seems eminently reasonable to me, but perhaps you have some explanation that will convince me to disbelieve what math and RJ tell us and instead follow your perspective on the text?
Parameter ? is called the mean, and it determines the location of the peak of the density function. Point x = ? is at the same time the mean, the median and the mode of normal distribution.
Is that clear?
Now, RJ very very clearly said that all, I repeat ALL, channelers are distributed in a bell curve. Very clearly, people like Rand are not excluded from this distribution.
Therefore, if you're going to take Rand as the theoretical maximum in OP strength, and someone like Morghase as the theoretical minimum, the range of the bell curve will be from Morghase to Rand.
We have arbitrarily used strengths from 1 to 100 to designate the Morghase to Rand range. You can choose 2 to 947, for all I care, but the fact remains that no matter how you want to interpret the text, no matter how you want to curve your hand around your head to touch your nose, the mean, median and mode of this range will be the same for a bell curve distribution.
In a 1 to 100 range, 50 will have to be the median. As wiki says:
The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one. If there is an even number of observations, then there is no single middle value, so one often takes the mean of the two middle values.
Thus, 50 is the median. And since the range 1-100 is distributed normally among the channeling population, the mean of the channeling population is also going to be 50. This is a mathematical truth, and there's no other possible interpretation!
Which means the average woman has an effective strength of 50, which is half of Rand's strength. This also means more women will be of this strength than any other.
Now, you have several options.
You could make the infantile argument that RJ did not have any idea what a Bell Curve was.
You can say that there are tons of Egwene level (50 according to you) channelers out there who have never been discovered, and some mysterious force prevented every single one of these women from finding their way to the Tower for a thousand years.
Or, you can admit that me and Darius are correct, that the strength of 50 reflects the strength of a strong Aes Sedai like Anaiya and that women like Egwene are much rarer and likely somewhere between 60 and 70. You can also pay attention to the very well known fact that it is harder for women to shield men and vice versa.
Me and Darius think that math and RJ's quotes should colour ou reading of the text. This seems eminently reasonable to me, but perhaps you have some explanation that will convince me to disbelieve what math and RJ tell us and instead follow your perspective on the text?
The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha
17/12/2009 03:32:03 PM
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I assume you're referring to EFFECTIVE strength here...
17/12/2009 04:27:53 PM
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Re: I assume you're referring to EFFECTIVE strength here...
17/12/2009 05:05:18 PM
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Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha
17/12/2009 04:52:56 PM
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Alivia's rings and chains angreal multiplies strength by 4 times or more...
17/12/2009 04:57:17 PM
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Re: Alivia's rings and chains angreal multiplies strength by 4 times or more...
17/12/2009 06:07:39 PM
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Moiraine at 45 strength is way too high. She can't be that high. *NM*
17/12/2009 07:44:50 PM
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why?
17/12/2009 07:57:37 PM
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Re: why?
17/12/2009 08:11:13 PM
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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
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and yet RJ does
17/12/2009 08:27:39 PM
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Re: and yet RJ does
17/12/2009 09:49:20 PM
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Re: and yet RJ does
18/12/2009 04:20:16 AM
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No more liberty than you are taking assuming only a woman like Graendal could do it!
18/12/2009 05:08:04 PM
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Re: No more liberty than you are taking assuming only a woman like Graendal could do it!
19/12/2009 11:53:24 AM
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Re: No more liberty than you are taking assuming only a woman like Graendal could do it!
19/12/2009 05:12:47 PM
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Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha
17/12/2009 05:07:28 PM
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Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha
17/12/2009 06:24:12 PM
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Let's work with your figures...
17/12/2009 06:45:46 PM
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Re: Let's work with your figures...
17/12/2009 07:16:49 PM
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You have a good point about Daigian and Semirhage. That may have been a BS mistake. *NM*
17/12/2009 07:50:25 PM
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Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake.
17/12/2009 07:59:13 PM
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Re: You have a good point about Daigian and Semirhage. That may have been a BS mistake.
17/12/2009 08:14:01 PM
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Re: two women holding Nynaeve
17/12/2009 08:17:10 PM
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Re: two women holding Nynaeve
17/12/2009 08:19:34 PM
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I personally think Nynaeve gained strength slower than most because of her block.
17/12/2009 08:30:44 PM
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but we know as late as WH that she has not reached her full potential
17/12/2009 09:50:12 PM
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What? Where? *NM*
18/12/2009 04:22:36 AM
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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
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Gateway theory refutes this. The size of gateway is relevant to strength
17/12/2009 07:46:55 PM
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Re: Gateway theory refutes this. The size of gateway is relevant to strength
17/12/2009 07:55:38 PM
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What do you think of the gap between Moghedien and Semirhage in relation to
17/12/2009 05:40:41 PM
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It means even Moghedien is vastly stronger than the average modern Aes Sedai...
17/12/2009 05:48:09 PM
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Re: What do you think of the gap between Moghedien and Semirhage in relation to
17/12/2009 08:15:58 PM
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Re: The relative strength in the Power of Nynaeve vs Cadsuane vs Egwene/Elayne/Aviendha
17/12/2009 06:47:23 PM
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Except tthat Egwene herself says she has no chance against Moghedien...
17/12/2009 06:53:18 PM
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Re: Except tthat Egwene herself says she has no chance against Moghedien...
17/12/2009 07:26:55 PM
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uhm.... yes she knows
17/12/2009 08:04:08 PM
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Re: Except tthat Egwene herself says she has no chance against Moghedien...
17/12/2009 07:28:00 PM
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Re: Except tthat Egwene herself says she has no chance against Moghedien...
17/12/2009 08:23:01 PM
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Ishamael told her that she would never be strong enough to face him
17/12/2009 09:52:47 PM
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And Ishamael was killed be a shepherd and Bel'al balefired by a "weak" Aes Sedai.
17/12/2009 10:33:41 PM
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How can we be certain Egwene was at full strength when she said that?
17/12/2009 07:58:39 PM
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Elayne says Egwene was at her full strength in TSR, and thus was stronger than she currently was.
17/12/2009 10:25:31 PM
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Elayne says Egwene was forced and was thus currently stronger
17/12/2009 10:51:28 PM
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Definitely TSR, because I re-read that book constantly - will try to find the section!
17/12/2009 11:23:20 PM
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Re: Definitely TSR, because I re-read that book constantly - will try to find the section!
17/12/2009 11:25:31 PM
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Didn't the glossary say that Cadsuane was not far behind Eg/El? *NM*
17/12/2009 08:05:32 PM
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This thread has achieved absolutely nothing. When people don't accept quotes, what's the use...
17/12/2009 10:22:45 PM
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But you ignore RJ's own quotes... who're you to talk?
17/12/2009 11:13:40 PM
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I think they are secretly just trying to make Lanfear appear that much stronger *NM*
17/12/2009 11:17:38 PM
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You also forget something.
17/12/2009 11:36:50 PM
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That has nothing to do with what I said...
18/12/2009 12:21:06 AM
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Re: That has nothing to do with what I said...
18/12/2009 01:28:53 PM
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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
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Show me a random sample in the series that we can use *NM*
18/12/2009 06:45:08 PM
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I cannot. That's the point...
18/12/2009 08:33:38 PM
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The One Power Bell Curve's average strength is not 50, it is more like 15...
17/12/2009 11:41:48 PM
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In a Bell curve, mean=median=mode. I suppose that is untrue now?
18/12/2009 12:37:47 AM
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Re: In a Bell curve, mean=median=mode. I suppose that is untrue now?
18/12/2009 12:47:52 AM
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What do you mean, relative scale?
18/12/2009 12:53:29 AM
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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
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1 to 100 works perfectly well as a range...
18/12/2009 12:47:44 AM
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Here is an example with an absolute scale, converted to relative
18/12/2009 01:03:38 AM
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The Tower is not the whole range of channeler population!
18/12/2009 01:28:38 AM
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Re: The Tower is not the whole range of channeler population!
18/12/2009 02:03:00 AM
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Re: The Tower is not the whole range of channeler population!
18/12/2009 03:16:25 AM
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You're right, and that proves my point - here are the calculations and the evidence...
18/12/2009 07:51:26 AM
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Dude, read up on some statistics, then we'll continue this debate...
18/12/2009 06:05:26 PM
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Explain one thing to me...
18/12/2009 10:40:00 PM
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Who said she's stronger than two very strong AS? Silviana can shield her alone! *NM*
18/12/2009 11:01:01 PM
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Aviendha said so in FoH. It is a direct quote.
18/12/2009 11:04:21 PM
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which is also suspect
19/12/2009 12:04:14 AM
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OK, the Tower AS don't fall into a bell-curve, then.
18/12/2009 10:34:16 PM
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Re: But you ignore RJ's own quotes... who're you to talk?
18/12/2009 04:31:53 AM
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Re: But you ignore RJ's own quotes... who're you to talk?
18/12/2009 04:42:33 AM
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I've discussed this before...
18/12/2009 01:06:07 AM
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Re: I've discussed this before...
18/12/2009 04:37:30 AM
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Re: I've discussed this before...
18/12/2009 04:58:48 AM
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Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself...
18/12/2009 07:02:28 AM
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Why are you entertaining this?
18/12/2009 01:19:25 PM
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The other poster showed no proof that RJ's math was wrong. Read what he said again! *NM*
18/12/2009 06:09:49 PM
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Verin's circle matched Granedal dude. And average strength does not mean great strength.
18/12/2009 06:07:51 PM
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Re: Egwene + Lelaine + Romanda is weaker than one male Forsaken...according to Egwene herself...
19/12/2009 12:46:18 AM
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I can't imagine it being about skill
19/12/2009 12:06:42 PM
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of course it's about skill
19/12/2009 05:22:45 PM
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Not it isn't!
19/12/2009 05:52:02 PM
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If she was only thinking about strength why then didn't she have a plan to add Sheriam
19/12/2009 07:09:08 PM
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