.. _sphx_glr_api_gallery_statistics_descriptive:

Descriptive statistics
------------------------

The five-number summary, skewness, and kurtosis, and Gauss's normal law
of measurement errors.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Summarizes a skewed dataset (exponential-ish waiting times) and visualizes its five-number summary as a boxplot.">

.. only:: html

  .. image:: /api/gallery/statistics/descriptive/images/thumb/sphx_glr_plot_01_five_number_summary_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/descriptive/plot_01_five_number_summary`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Descriptive statistics and the five-number summary</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Repeated measurements of one quantity scatter around its true value. Gauss (1809) asked which error law makes the arithmetic mean of the measurements the most probable value of the quantity, and found the normal law. This example simulates noisy measurements, compares their errors with the normal curve, and checks that the mean both maximizes the normal error probability and minimizes the sum of squared errors.">

.. only:: html

  .. image:: /api/gallery/statistics/descriptive/images/thumb/sphx_glr_plot_02_gauss_error_law_thumb.png
    :alt:

  :doc:`/api/gallery/statistics/descriptive/plot_02_gauss_error_law`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Gauss's normal law of errors</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/statistics/descriptive/plot_01_five_number_summary
   /api/gallery/statistics/descriptive/plot_02_gauss_error_law