Technically, you are riht. In practice, though, it doesn't matter all that much.
It matters a lot.
As you say, we don't know where the distribution is truncated,
But we do know where it is truncated. It is truncated at 0 and at Rand's/Lanfear's strength, There's no doubts about this.
but let's assume for the sake of argument that it stops abruptly at 5 standard deviations below the mean (which is the same as changing the lower integration limit from -Infinity to -5).
No can do. We can't make any assumptions on SD. However, we do have facts about the upper and lower limits of OP strength. That's what we need to base things on.
This lifts Daigan to a whooping 0.318639 standard deviations below the mean. Even setting the cutoff at 3 standard deviations only lifts her to 0.315081. There just aren't enough people that far out to change the numbers a whole lot.
It makes all the difference when you realize that below 0 is just plain impossible. Sure, the additional area under the curve is not that huge, but it makes a difference. Either way, with the curve being truncated, the conclusion that if Daigian is strength 25, everyone in the world would be less than 1 SD from the mean is perfectly acceptable.
How many standard deviations is Lanfear
- 15/11/2012 06:04:39 PM
2090 Views
Hmm...
- 15/11/2012 07:25:34 PM
1232 Views
see we CAN agree on stuff 
- 15/11/2012 07:56:12 PM
1077 Views
- 18/11/2012 08:37:22 PM
969 Views
- 15/11/2012 07:56:12 PM
1077 Views
- 18/11/2012 08:37:22 PM
969 Views
Re:
- 18/11/2012 11:07:17 PM
1174 Views
- 18/11/2012 11:07:17 PM
1174 Views
Re:
- 19/11/2012 05:16:00 AM
1006 Views
- 19/11/2012 05:16:00 AM
1006 Views
Re:
- 19/11/2012 03:13:01 PM
1006 Views
- 19/11/2012 03:13:01 PM
1006 Views
They only reject 37.5%, not 62.5%
- 19/11/2012 03:19:19 PM
1015 Views
Re: They only reject 37.5%, not 62.5%
- 19/11/2012 04:01:43 PM
1220 Views
Re: They only reject 37.5%, not 62.5%
- 19/11/2012 09:04:04 PM
962 Views
Hmmm...
- 20/11/2012 02:08:40 AM
1032 Views
Perhaps, but Egwene is also being a bit dramatic in the scene as she managed
- 20/11/2012 04:28:57 AM
986 Views
Nope...
- 20/11/2012 03:13:13 PM
1036 Views
I believe she is being over dramatic
- 20/11/2012 03:26:24 PM
935 Views
Keep believing that...
- 20/11/2012 03:30:14 PM
1067 Views
*shrugs*
- 20/11/2012 03:49:10 PM
1015 Views
Tired and forkroot are the same now?
- 20/11/2012 03:55:22 PM
921 Views
No it's the literary device
- 20/11/2012 04:04:28 PM
1045 Views
Impossible. Daigian is exactly 0.32SD below the mean
- 19/11/2012 11:06:04 AM
992 Views
You keep saying that, but it is either a linear or a non-linear distribution
- 19/11/2012 09:09:32 PM
1047 Views
That's the whole point. Thanks for finally seeing it.
- 19/11/2012 09:43:27 PM
1007 Views
keep believing that ... but you making up numbers isn't really relevant *NM*
- 20/11/2012 04:29:44 AM
660 Views
Please show me a number that is made up. The 0.32SD for Daigian is a rule of statistics.
- 20/11/2012 07:15:48 AM
970 Views
Ugh. I hate power level discussions. For real world applications, it should be kind of meaningless
- 16/11/2012 10:28:49 PM
959 Views
I don't really agree
- 18/11/2012 08:40:53 PM
899 Views
Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel
- 19/11/2012 09:13:48 PM
976 Views
Re: Perhaps, but we've seen that a MUCH weaker Channeler can win in a duel
- 20/11/2012 08:10:01 AM
943 Views
Since I've proven that it's not a normal distribution in units of absolute strength, SDs don't apply
- 17/11/2012 07:48:21 PM
996 Views
You have proven nothing, except that you have an opinion *NM*
- 18/11/2012 02:21:35 AM
641 Views
You simply don't get it. It is mathematically a fact. There is no opinion involved.
- 18/11/2012 02:19:40 PM
847 Views
Only because you've assigned numeric values. That you created.
- 18/11/2012 02:40:51 PM
971 Views
It doesn't matter what figure you use...
- 18/11/2012 03:01:56 PM
847 Views
What if Daigian is one third Lanfear's strength?
- 18/11/2012 04:37:58 PM
993 Views
Sure you can
- 18/11/2012 10:09:31 PM
1003 Views
Re: Sure you can
- 18/11/2012 10:54:50 PM
953 Views
You're right, though its 37.5%
- 19/11/2012 12:21:29 AM
920 Views
Oops, typo!
- 19/11/2012 02:54:25 AM
987 Views
Again, not possible, due to Daigian being just 0.3SD below the Mean
- 19/11/2012 08:37:01 AM
940 Views
Egwene is definitely not 2x Amys...
- 19/11/2012 04:05:12 PM
882 Views
Re: Egwene is definitely not 2x Amys...
- 19/11/2012 05:55:02 PM
809 Views
Egwene is about as strong as Melaine and Amys combined
- 19/11/2012 09:19:50 PM
933 Views
Re: Egwene is about as strong as Melaine and Amys combined
- 20/11/2012 02:11:26 AM
956 Views
Forkroot in every case
- 20/11/2012 04:32:26 AM
938 Views
No!
- 20/11/2012 03:15:16 PM
917 Views
I'm not going to go re-read the books to you on this
- 20/11/2012 03:39:46 PM
936 Views
You need to read it for yourself, since you're completely confused.
- 20/11/2012 03:54:26 PM
900 Views
Not going to argue this with you.
- 20/11/2012 04:09:44 PM
878 Views
Your own example disproved your point...
- 20/11/2012 04:39:25 PM
981 Views
let's see, she's both asleep and would need hours to regain her strength
- 20/11/2012 04:43:17 PM
864 Views
Enough!
- 20/11/2012 05:04:06 PM
949 Views
LOL ... whatever. You go on believing that ... no one else sees it this way. *NM*
- 20/11/2012 05:20:52 PM
630 Views
Re: Your own example disproved your point...
- 20/11/2012 05:10:15 PM
992 Views
Barasine + Katerine isn't that much less than
- 20/11/2012 05:26:31 PM
999 Views
Re: Egwene is definitely not 2x Amys...
- 20/11/2012 02:26:47 AM
869 Views
Re: Egwene is definitely not 2x Amys...
- 20/11/2012 09:03:40 AM
921 Views
Re: Egwene is definitely not 2x Amys...
- 20/11/2012 02:59:08 PM
954 Views
None of this is backed by any evidence...
- 20/11/2012 03:24:12 PM
873 Views
who said Cadsuane was 1.5x Moiraine or more?
- 20/11/2012 04:03:13 PM
883 Views
Nope...
- 20/11/2012 04:41:35 PM
911 Views
wrong
- 20/11/2012 04:48:50 PM
850 Views
Better evidence? LOL!
- 20/11/2012 03:18:55 PM
922 Views
Huh? How did you come to that conclusion?
- 20/11/2012 04:40:56 PM
915 Views
BEcause Cadsuane is close on the heels of Egwene?
- 20/11/2012 05:10:50 PM
831 Views
I'm not arguing that. I agree that Cadsuane is pretty close to Egwene
- 20/11/2012 05:50:34 PM
935 Views
Interesting, but let's go with your figures...
- 19/11/2012 06:54:54 AM
983 Views
Indeed
- 19/11/2012 08:16:44 AM
1029 Views
Rand is sort of a special case
- 20/11/2012 04:25:02 AM
853 Views
Regarding Mesaana...
- 20/11/2012 08:42:56 AM
929 Views
You continue to mix two things
- 20/11/2012 03:24:44 PM
850 Views
No
- 20/11/2012 04:54:19 PM
1076 Views
You are mistaken
- 20/11/2012 05:04:40 PM
930 Views
Probably, but the AS have no idea what 37.5% means
- 19/11/2012 02:59:26 AM
876 Views
It's irrelevant
- 19/11/2012 03:46:42 AM
948 Views
Agreed. Daigian is the marker of the absolute bottom of Aes Sedai strength.
- 19/11/2012 06:55:41 AM
911 Views
Daigian
- 19/11/2012 08:12:19 AM
930 Views
It is a direct marker due to RJ's quote
- 19/11/2012 08:50:26 AM
963 Views
You missed my point
- 19/11/2012 09:08:42 AM
890 Views
Asmodean would never have made the comment about 13 weakest AS
- 20/11/2012 04:41:11 AM
904 Views
Re: Asmodean would never have made the comment about 13 weakest AS
- 20/11/2012 09:07:49 AM
880 Views
Re: Sure you can
- 19/11/2012 09:22:09 AM
1019 Views
Care to explain this...
- 19/11/2012 05:06:28 PM
858 Views
Indeed
- 20/11/2012 07:16:37 AM
1080 Views
Explained far better than I ever could. Bravo.
- 20/11/2012 07:30:29 AM
901 Views
Well duh.
- 20/11/2012 02:57:24 PM
1006 Views
Incorrect.
- 20/11/2012 04:28:07 PM
993 Views
No
- 20/11/2012 04:44:16 PM
969 Views
You're integrating without lower limits...
- 20/11/2012 02:55:06 PM
941 Views
Re: You're integrating without lower limits...
- 20/11/2012 04:37:57 PM
968 Views
It matters.
- 20/11/2012 05:22:40 PM
941 Views
We are not talking about a normal distribution in any case
- 20/11/2012 04:44:24 AM
790 Views
Re: We are not talking about a normal distribution in any case
- 20/11/2012 07:02:47 AM
979 Views
You must tell me of this special math...
- 20/11/2012 03:10:09 PM
874 Views
Re: You must tell me of this special math...
- 20/11/2012 04:29:40 PM
908 Views
Morghase is a placeholder...
- 20/11/2012 04:45:42 PM
974 Views
Well...
- 18/11/2012 08:43:59 PM
1005 Views
Re: Well...
- 19/11/2012 03:40:44 PM
989 Views
Wow.
- 19/11/2012 03:53:47 PM
1034 Views
Well then you're both wrong I'm afraid
- 19/11/2012 06:09:36 PM
890 Views
Re: Well then you're both wrong I'm afraid
- 19/11/2012 07:42:58 PM
788 Views
this is why I think all of the Forsaken are very close in Power
- 20/11/2012 04:51:20 AM
980 Views
Re: this is why I think all of the Forsaken are very close in Power
- 20/11/2012 02:45:18 PM
927 Views
I think RJ went out of his way to keep strength a bit of a mystery
- 20/11/2012 08:42:44 PM
927 Views
Math gurus...Is it possible to find the missing variable...
- 21/11/2012 05:12:24 PM
935 Views
the problem is that the Mean is not going to tell us much really
- 22/11/2012 02:55:03 AM
990 Views
Re: the problem is that the Mean is not going to tell us much really
- 22/11/2012 03:15:33 AM
1289 Views
I do not think you can calculate the Mean without knowing the Units of Power
- 22/11/2012 03:53:59 AM
1080 Views