Note

Go to the end to download the full example code

1.5.12.5. Normal distribution: histogram and PDFΒΆ

Explore the normal distribution: a histogram built from samples and the PDF (probability density function).

plot normal distribution
import numpy as np

import scipy as sp

import matplotlib.pyplot as plt



dist = sp.stats.norm(loc=0, scale=1)  # standard normal distribution

sample = dist.rvs(size=100000)  # "random variate sample"

plt.hist(sample,

         bins=51,  # group the observations into 50 bins

         density=True,  # normalize the frequencies

         label='normalized histogram')



x = np.linspace(-5, 5)  # possible values of the random variable

plt.plot(x, dist.pdf(x), label='PDF')

plt.legend()  # doctest: +SKIP

plt.show()

Total running time of the script: ( 0 minutes 0.091 seconds)

Gallery generated by Sphinx-Gallery