File:IQ curve (2).svg
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[edit]- ↑ Kaufman, A.S. (2009) IQ Testing 101, New York (NY): Springer Publishing, pp. 104−109 ISBN: 978-0-8261-0629-2.
| Description | 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 development | |
| Source code | Gnuplot codeset 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
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| Date | |
| Source | Own work |
| Author | Alessio Damato, Mikhail Ryazanov |
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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. |
  
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:40, 13 July 2020 | | 600 × 480 (9 KB) | Rohnjones (talk | contribs) |
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