IQ 160 排世界前十不靠谱。。。

来源: 湘西山民 2012-09-12 08:28:20 [] [博客] [旧帖] [给我悄悄话] 本文已被阅读: 次 (7854 bytes)
回答: 当今在世智商最高十大天才insight7772012-09-11 02:19:27

中点是100, SD = 15. 160 = 100 + 4 x SD

IQ_curve.svg(SVG file, nominally 600 × 480 pixels, file size: 12 KB)

 

IQ 160 3万人里就有一个!

 

Higher deviations

Because of the exponential tails of the normal distribution, odds of higher deviations decrease very quickly. From the Rules for normally distributed data:

Range Population in range Expected frequency outside range Approx. frequency for daily event
μ ± 1σ 0.682689492137086 1 in 3 Twice a week
μ ± 1.5σ 0.866385597462284 1 in 7 Weekly
μ ± 2σ 0.954499736103642 1 in 22 Every three weeks
μ ± 2.5σ 0.987580669348448 1 in 81 Quarterly
μ ± 3σ 0.997300203936740 1 in 370 Yearly
μ ± 3.5σ 0.999534741841929 1 in 2149 Every six years
μ ± 4σ 0.999936657516334 1 in 15,787 Every 43 years (twice in a lifetime)
μ ± 4.5σ 0.999993204653751 1 in 147,160 Every 403 years
μ ± 5σ 0.999999426696856 1 in 1,744,278 Every 4,776 years (once in recorded history)
μ ± 5.5σ 0.999999962020875 1 in 26,330,254 Every 72,090 years
μ ± 6σ 0.999999998026825 1 in 506,797,346 Every 1.388 million years
μ ± 6.5σ 0.999999999919680 1 in 12,450,197,393 Every 34.087 million years
μ ± 7σ 0.999999999997440 1 in 390,682,215,445 Every 1.070×109 years
μ ± xσ \textstyle\operatorname{erf}\left(\frac{x}{\sqrt{2}}\right) 1 in \textstyle \frac{1}{1-\operatorname{erf}\left(\frac{x}{\sqrt{2}}\right)} Every \textstyle \frac{1}{1-\operatorname{erf}\left(\frac{x}{\sqrt{2}}\right)} days

Thus for a daily process, a 6σ event is expected to happen less than once in a million years. This gives a simple normality test: if one witnesses a 6σ in daily data and significantly fewer than 1 million years have passed, then a normal distribution most likely does not provide a good model for the magnitude or frequency of large deviations in this respect. In The Black Swan, Nassim Nicholas Taleb gives the example of risk models for which the Black Monday crash was a 36-sigma event: the occurrence of such an event should instantly suggest a catastrophic flaw in a model.

请您先登陆,再发跟帖!

发现Adblock插件

如要继续浏览
请支持本站 请务必在本站关闭/移除任何Adblock

关闭Adblock后 请点击

请参考如何关闭Adblock/Adblock plus

安装Adblock plus用户请点击浏览器图标
选择“Disable on www.wenxuecity.com”

安装Adblock用户请点击图标
选择“don't run on pages on this domain”