File:Normal Distribution CDF.svg

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Summary

Description

English: A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied. The key is given on the graph.

Date

2 April 2008

Source

Own work (Original text: self-made, Mathematica, Inkscape)

Author

Inductiveload

Permission
(Reusing this file)

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

The SVG code is valid.

This chart was created with Mathematica.

This chart uses embedded text.

Mathematica Code

Plot[
 {
  CDF[NormalDistribution[0, Sqrt[0.2]], x],
  CDF[NormalDistribution[0, 1], x],
  CDF[NormalDistribution[0, Sqrt[5]], x],
  CDF[NormalDistribution[-2, Sqrt[0.5]], x]
  },
 {x, -5, 5},
 PlotRange -> All,
 Axes -> False]

R language Code

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

File history

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	Date/Time	Dimensions	User	Comment
current	23:43, 27 December 2024	720 × 460 (75 KB)	TheBooker66	Minified the file a bit by removing unnecessary elements.
	16:17, 29 April 2016	720 × 460 (76 KB)	Rayhem	Lighten background grid
	16:17, 12 September 2014	720 × 460 (73 KB)	Wereldburger758	Valid SVG now.
	21:12, 23 September 2009	720 × 460 (84 KB)	Stpasha	re-uploading same file, since upload is buggy
	19:28, 23 September 2009	720 × 460 (84 KB)	Stpasha	Lines are made thicker and more visible, all numbers rendered in roman instead of italic, white background added
	14:14, 27 June 2009	720 × 460 (55 KB)	Autiwa	nouvelle version où j'ai enlevé la courbe qui était en double. (en gros, j'ai enlevé la grosse version de 600 points, pour garder la petite)
	19:17, 2 April 2008	720 × 460 (80 KB)	Inductiveload	Cliiping path caused rendering fault. hopefully fixed now.
	19:12, 2 April 2008	720 × 460 (78 KB)	Inductiveload	{{Information \|Description= \|Source= \|Date= \|Author= \|Permission= \|other_versions= }}
	19:10, 2 April 2008	720 × 460 (78 KB)	Inductiveload	{{Information \|Description=A selection of Normal Distribution Cumulative Density Functions (CDFs). 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=