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Fasciculus:IQ curve.svg

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Summarium

Descriptio Current IQ tests typically have standard scores such that the mean score is 100 with each standard deviation from the mean counting for 15 IQ points.[1] The plot shows, assuming that such scores have a normal distribution, the percentage of people getting a score versus the score itself, from 55 to 145 IQ, that is over a span of six standard deviations. Spans are represented with different colors for each standard deviation above or below the mean. The plot was created with the following gnuplot code:
SVG genesis
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Source code
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Gnuplot code

set terminal svg name 'IQ_curve' size 600,480 font ',10' rounded
set output 'IQ_curve.svg'

mu    = 100.0
sigma = 15.0
from  = 55
to    = 145

# Normal distribution:
# (continuos normalization approximation, good to ~10 digits in this case)
P(x) = exp(-(x - mu)**2 / (2 * sigma**2)) / (sqrt(2 * pi) * sigma) * 100
# By sigma intervals:
oddsi(x) = (int(abs(x - mu) / sigma) % 2) ^ (x < mu)
Pm(x) =               (x == mu)  ? P(x) : 1/0 # sample at mu
Po(x) = ( oddsi(x) && (x != mu)) ? P(x) : 1/0 # samples in odd sigma intervals
Pe(x) = (!oddsi(x) && (x != mu)) ? P(x) : 1/0 # samples in even sigma intervals

set key off
set border 3
set xlabel 'IQ'
set xtics 10 out nomirror
set mxtics 2
set ylabel 'Population, %'
set ytics 1 out nomirror
set mytics 2
set samples (to - from + 1)
set style function impulses
plot [x = from:to] \
 Pm(x) lw 2, \
 Po(x) lw 2, \
 Pe(x) lw 2
Datum
Fons Opus proprium
Auctor Alessio Damato, Mikhail Ryazanov
  1. ↑ Kaufman, A.S. (2009) IQ Testing 101, New York (NY): Springer Publishing, pp. 104−109 ISBN: 978-0-8261-0629-2.

Potestas usoris

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Licet hoc documentum exscribere vel distribuere vel demutare sub GNU Liberarum Litterarum Licentiae conditionibus in editione 1.2 aut in ulla editione recentiori a Fundatione Liberarum Programmationis Partium publicata; praeterquam Sectiones Immutabiles et Verba Involucra Adversa et Aversa. Licentiae exemplar praesto est in sectione intitulata GNU Free Documentation License.
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attributio aequa parte 		This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Tibi licet:
  • communicare – copiare, distribuere et committere hoc opus
  • to remix – to adapt the work
His condicionibus:
  • attributio – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • aequa parte – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attributio aequa parte
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
Tibi licet:
  • communicare – copiare, distribuere et committere hoc opus
  • to remix – to adapt the work
His condicionibus:
  • attributio – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • aequa parte – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Tibi typum permissionis ligere licet.

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Historia fasciculi

Presso die vel tempore fasciculum videbis, sicut tunc temporis apparuit.

Dies/TempusMinutioDimensionesUsorSententia
recentissima23:11, 26 Novembris 2020Minutum speculum redactionis 23:11, 26 Novembris 2020 factae600 × 480 (9 chiliocteti)ParanajaReverted to version as of 21:27, 2 November 2012 (UTC)
21:27, 2 Novembris 2012Minutum speculum redactionis 21:27, 2 Novembris 2012 factae600 × 480 (9 chiliocteti)Mikhail RyazanovIQ values are now integers; gnuplot-only approach
09:20, 6 Decembris 2006Minutum speculum redactionis 09:20, 6 Decembris 2006 factae600 × 480 (12 chiliocteti)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

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