Grafika:IQ curve.svg

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IQ_curve.svg‎ (Plik SVG, rozmiar bazowy 600 × 480 pikseli, rozmiar pliku: 12 kB)

Plik IQ curve.svg [ edytuj opis ] umieszczony jest w Wikimedia Commons, repozytorium wolnych zasobów projektów Fundacji Wikimedia. Wyjaśnienie podanej poniżej licencji znajdziesz na stronie Opisy licencji grafiki.

[edit] Summary

Description

The IQ test is scored so that the mean score is 100 and the distribution has the shape of a Gaussian function, with a standard deviation of 15. The plot shows the percentage of people getting a score versus the score itself, from 55 to 145 IQ, i.e. (145-55)/15 = 6 times the standard deviation. Lengths as long as the standard deviation are represented with different colours. In order to create it, first I ran the following Octave code:

%standard deviation:
sigma = 15;

%IQ values:
IQ=55.5:144.5;

%Gaussian function:
G=exp(-(IQ-100).^2./(2*sigma^2));
H=exp(-(IQ-100).^2./(2*sigma^2));

%Normalisation in the [0:100] range
G=100*G/sum(G);
H=100*H/sum(H);

%to plot them in different colors
G(1:15)=0;
G(31:45)=0;
G(61:75)=0;

H(16:30)=0;
H(46:60)=0;
H(76:90)=0;

%output to text file:
T=[IQ; G; H];
T = T';
save -ascii 'IQ_curve.dat' T;

Since I wanted a symmetric plot, I shifted the domain by 0.5. It will save the samples in an external file called IQ_curve.dat. In order to get the plot in different colours, the function is split in two different functions, when one is zero the other one is non-null and vice versa. Plotting G and H we will get the effect we want. In order to get the SVG, I used the following Gnuplot code:

set terminal svg
set output "IQ_curve.svg"
set xrange [55.5:144.5]
set key off
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
plot "IQ_curve.dat" using 1:2 with impulses linewidth 1.5, \
     "IQ_curve.dat" using 1:3 with impulses linewidth 1.5

Then I post-processed the file with Inkscape.

Source

own work

This vector image was created with gnuplot.

Date

6 December 2006

Author

Alessio Damato

Permission
(Reusing this image)

see below

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license".

This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0

You may select the license of your choice.

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	Data/czas	Wymiary	Użytkownik	Opis
aktualny	11:20, 6 gru 2006	600×480 (12 kB)	Alejo2083	( {{Information \|Description= The IQ test is made so that most of the people will score 100 and the distribution will have the shape of a Gaussian function, with a standard deviation of 15. The plot shows the percentage of people getting a score versus the)