Saturday, May 13, 2006

Ascent into the 3rd Standard Deviation

Here's a fun chart about IQ, borrowed from here:

Practical Significance of IQ
IQ Range
Frequency
Cumulative
Frequency
Typical Educability
Employment
Options
Below 30
>1%
>1% below 30 Illiterate Unemployable. Institutionalized.
30 to 50
>1%?
>1% below 50 1st-Grade to 3rd-Grade Simple, non-critical household chores.
50 to 60
~1%?
1.5% below 60 3rd-Grade to 6th-grade Very simple tasks, close supervision.
60 to 74
3.5%?
5% below 74 6th-Grade to 8th-Grade "Slow, simple, supervised."
74 to 89
20%
25% below 89 8th-Grade to 12th-Grade Assembler, food service, nurse's aide
89 to 100
25%
50% below 100 8th-Grade to 1-2 years of College. Clerk, teller, Walmart
100 to 111
50%
1 in 2 above 100 12th-Grade to College Degree Police officer, machinist, sales
111 to 120
15%
1 in 4 above 111 College to Master's Level Manager, teacher, accountant
120 to 125
5%
11 in 10above 120 College to Non-Technical Ph. D.'s. Manager, professor, accountant
125 to 132
3%
1 in 20 above 125 Any Ph. D. at 3rd-Tier Schools Attorney, editor, executive.
132 to 137
1%
1 in 50 above 132 No limitations. Eminent professor, editor
137 to 150
0.9%
1 in 100 above 137 No limitations. Leading math, physics professor
150 to 160
0.1%
1 in 1,100 above 150 No limitations Lincoln, Copernicus, Jefferson
160 to 174
0.01%
1 in 11,000 above 160 No limitations Descartes, Einstein, Spinoza
174 to 200
0.0099%
1 in 1,000,000
above 174
No limitations Shakespeare, Goethe, Newton

The earlier link uses the normal distribution to break down your average consumer at Wal-Mart. It's either funny or scary, depending on your perspective!

The thing that makes a 'normal' distribution interesting is that 99.73002039367% of the population (nearly everyone) is within three standard deviations of the average. In other words, if you know the average IQ and the standard deviation from that average, than you can be 99.73% sure that anyone you meet at Wal-Mart has an IQ higher than the average - (3 * STD) and less than the average + (3 * STD).

But not everyone you meet will fall into that range! In fact, 0.13% of them won't! Welcome to the top 10% of the top 10% of the top 10% (if you believe in IQ tests)! I'm not just talking about me; there are many friends here, and chances are, (against statistical odds) you're probably one of them! Let's get together and create statistical aberrations! :)

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