.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "intro/scipy/auto_examples/plot_normal_distribution.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_intro_scipy_auto_examples_plot_normal_distribution.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_intro_scipy_auto_examples_plot_normal_distribution.py:


=======================================
Normal distribution: histogram and PDF
=======================================

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

.. GENERATED FROM PYTHON SOURCE LINES 9-25



.. image-sg:: /intro/scipy/auto_examples/images/sphx_glr_plot_normal_distribution_001.png
   :alt: plot normal distribution
   :srcset: /intro/scipy/auto_examples/images/sphx_glr_plot_normal_distribution_001.png
   :class: sphx-glr-single-img





.. code-block:: default


    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()


.. rst-class:: sphx-glr-timing

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


.. _sphx_glr_download_intro_scipy_auto_examples_plot_normal_distribution.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example




    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_normal_distribution.py <plot_normal_distribution.py>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_normal_distribution.ipynb <plot_normal_distribution.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_