File:IQ curve.svg

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Ibsa 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:
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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
Guyyaa
Lakkaddaa Hojii ofii
Barreessaa 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.

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amala wal waliif qoodamu
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
Ati bilisa:
  • qooduuf – hojicha garagalchuuf, faffacaasuu fi daddabarsuuf
  • walimakuuf – hojicha madaqsuuf
Haalota armaan gadii jalatti:
  • amala – 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.
  • wal waliif qoodamu – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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author name string Ingliffa: Alessio Damato
Wikimedia username Ingliffa: Alejo2083
URL Ingliffa: http://commons.wikimedia.org/wiki/User:Alejo2083

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2 Sadaasa 2012

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Guyyaa/Sa'aaQeensa abgudduuKallattiiwwanFayyadamaaYaada
amma23:11, 26 Sadaasa 2020Thumbnail for version as of 23:11, 26 Sadaasa 2020600 × 480 (9 KB)ParanajaReverted to version as of 21:27, 2 November 2012 (UTC)
21:27, 2 Sadaasa 2012Thumbnail for version as of 21:27, 2 Sadaasa 2012600 × 480 (9 KB)Mikhail RyazanovIQ values are now integers; gnuplot-only approach
09:20, 6 Muddee 2006Thumbnail for version as of 09:20, 6 Muddee 2006600 × 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

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