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File:Normal Distribution PDF.svg

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Summary

Description
English: A selection of Normal Distribution Probability Density Functions (PDFs). Both the mean, μ, and variance, σ², are varied. The key is given on the graph.
Date
Source self-made, Mathematica, Inkscape
Author Inductiveload
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
SVG development
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Source code
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R code

Plot[
 {
  PDF[NormalDistribution[1, Sqrt[2]], x],
  PDF[NormalDistribution[2, 1], x],
  PDF[NormalDistribution[3, Sqrt[3]], x],
    },
 {x, -5, 5},
 PlotRange -> All,
 Axes -> False]

Data

#			Normal Distribution PDF
#range
x=seq(-5,5,length=200)
#plot each curve
plot(x,dnorm(x,mean=0,sd=sqrt(.2)),type="l",lwd=2,col="blue",main='Normal Distribution PDF',xlim=c(-5,5),ylim=c(0,1),xlab='X',
ylab='φμ, σ²(X)')
curve(dnorm(x,mean=0,sd=1), add=TRUE,type="l",lwd=2,col="red")
curve(dnorm(x,mean=0,sd=sqrt(5)), add=TRUE,type="l",lwd=2,col="brown")
curve(dnorm(x,mean=-2,sd=sqrt(.5)), add=TRUE,type="l",lwd=2,col="green")

Text

#                    Normal Distribution
import numpy as np
import matplotlib.pyplot as plt 

def make_gauss(N, sig, mu):
    return lambda x: N/(sig * (2*np.pi)**.5) * np.e ** (-(x-mu)**2/(2 * sig**2))

def main():
    ax = plt.figure().add_subplot(1,1,1)
    x = np.arange(-5, 5, 0.01)
    s = np.sqrt([0.2, 1, 5, 0.5])
    m = [0, 0, 0, -2] 
    c = ['b','r','y','g']

    for sig, mu, color in zip(s, m, c): 
        gauss = make_gauss(1, sig, mu)(x)
        ax.plot(x, gauss, color, linewidth=2)

    plt.xlim(-5, 5)
    plt.ylim(0, 1)
    plt.legend(['0.2', '1.0', '5.0', '0.5'], loc='best')
    plt.show()

if __name__ == '__main__':
   main()

Captions

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inception

2 April 2008

data size

64,852 byte

height

460 pixel

width

720 pixel

media type

image/svg+xml

checksum

b99eb650f05d6365525532a7cbc8dea005fcf187

determination method or standard: SHA-1

File history

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Date/TimeThumbnailDimensionsUserComment
current16:06, 29 April 2016Thumbnail for version as of 16:06, 29 April 2016720 × 460 (63 KB)RayhemLighten background grid
17:19, 22 September 2009Thumbnail for version as of 17:19, 22 September 2009720 × 460 (65 KB)StpashaTrying again, there seems to be a bug with previous upload…
17:15, 22 September 2009Thumbnail for version as of 17:15, 22 September 2009720 × 460 (65 KB)StpashaCurves are more distinguishable; numbers correctly rendered in roman style instead of italic
14:07, 27 June 2009Thumbnail for version as of 14:07, 27 June 2009720 × 460 (55 KB)Autiwafichier environ 2 fois moins gros. Purgé des définitions inutiles, et avec des plots optimisés au niveau du nombre de points.
18:22, 5 September 2008Thumbnail for version as of 18:22, 5 September 2008720 × 460 (109 KB)PatríciaRfrom http://tools.wikimedia.pl/~beau/imgs/ (recovering lost file)
19:09, 2 April 2008No thumbnail (109 KB)Inductiveload{{Information |Description=A selection of Normal Distribution Probability Density Functions (PDFs). Both the mean, ''μ'', and variance, ''σ²'', are varied. The key is given on the graph. |Source=self-made, Mathematica, Inkscape |Date=02/04/2008 |Author

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