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. |
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| Date | |||
| Source | Own work (Original text: self-made, Mathematica, Inkscape) | ||
| Author | Inductiveload | ||
| Permission (Reusing this file) |
|
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| SVG development |
Mathematica 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]
R Language Code
# Normal Distribution - Probability Density Function (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")
Python Code
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()
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:40, 27 December 2024 | | 720 × 460 (61 KB) | wikimediacommons>TheBooker66 | Minified the file a bit by removing unnecessary elements and fixed svg isues. |
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