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# scipy.stats.cumfreq

scipy.stats.cumfreq(a, numbins=10, defaultreallimits=None, weights=None)

  Return a cumulative frequency histogram, using the histogram function.

  A cumulative histogram is a mapping that counts the cumulative number of observations in all of the bins up to the specified bin.

  Parameters:
    a array_like

      Input array.

    numbins int, optional

      The number of bins to use for the histogram. Default is 10.

    defaultreallimits tuple (lower, upper), optional

      The lower and upper values for the range of the histogram. If no value is given, a range slightly larger than the range of the values in a is used. Specifically `(a.min() - s, a.max() + s)`, where `s = (1/2)(a.max() - a.min()) / (numbins - 1)`.

    weights array_like, optional

      The weights for each value in a. Default is None, which gives each value a weight of 1.0

  Returns:
    cumcount ndarray

      Binned values of cumulative frequency.

    lowerlimit float

      Lower real limit

    binsize float

      Width of each bin.

    extrapoints int

      Extra points.

  Examples

      >>> import numpy as np
      >>> import matplotlib.pyplot as plt
      >>> from scipy import stats
      >>> rng = np.random.default_rng()
      >>> x = [1, 4, 2, 1, 3, 1]
      >>> res = stats.cumfreq(x, numbins=4, defaultreallimits=(1.5, 5))
      >>> res.cumcount
      array([ 1.,  2.,  3.,  3.])
      >>> res.extrapoints
      3

  Create a normal distribution with 1000 random values

      >>> samples = stats.norm.rvs(size=1000, random_state=rng)

  Calculate cumulative frequencies

      >>> res = stats.cumfreq(samples, numbins=25)

  Calculate space of values for x

      >>> x = res.lowerlimit + np.linspace(0, res.binsize*res.cumcount.size,
      ...                                  res.cumcount.size)

  Plot histogram and cumulative histogram

      >>> fig = plt.figure(figsize=(10, 4))
      >>> ax1 = fig.add_subplot(1, 2, 1)
      >>> ax2 = fig.add_subplot(1, 2, 2)
      >>> ax1.hist(samples, bins=25)
      >>> ax1.set_title('Histogram')
      >>> ax2.bar(x, res.cumcount, width=res.binsize)
      >>> ax2.set_title('Cumulative histogram')
      >>> ax2.set_xlim([x.min(), x.max()])

      >>> plt.show()