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bpo-36546: Add more tests and expand docs (#13406)
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@ -511,22 +511,33 @@ However, for reading convenience, most of the examples show sorted sequences.
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is not least 1.
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The *dist* can be any iterable containing sample data or it can be an
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instance of a class that defines an :meth:`~inv_cdf` method.
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instance of a class that defines an :meth:`~inv_cdf` method. For meaningful
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results, the number of data points in *dist* should be larger than *n*.
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Raises :exc:`StatisticsError` if there are not at least two data points.
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For sample data, the cut points are linearly interpolated from the
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two nearest data points. For example, if a cut point falls one-third
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of the distance between two sample values, ``100`` and ``112``, the
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cut-point will evaluate to ``104``. Other selection methods may be
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offered in the future (for example choose ``100`` as the nearest
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value or compute ``106`` as the midpoint). This might matter if
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there are too few samples for a given number of cut points.
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cut-point will evaluate to ``104``.
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If *method* is set to *inclusive*, *dist* is treated as population data.
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The minimum value is treated as the 0th percentile and the maximum
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value is treated as the 100th percentile. If *dist* is an instance of
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a class that defines an :meth:`~inv_cdf` method, setting *method*
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has no effect.
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The *method* for computing quantiles can be varied depending on
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whether the data in *dist* includes or excludes the lowest and
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highest possible values from the population.
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The default *method* is "exclusive" and is used for data sampled from
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a population that can have more extreme values than found in the
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samples. The portion of the population falling below the *i-th* of
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*m* data points is computed as ``i / (m + 1)``.
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Setting the *method* to "inclusive" is used for describing population
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data or for samples that include the extreme points. The minimum
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value in *dist* is treated as the 0th percentile and the maximum
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value is treated as the 100th percentile. The portion of the
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population falling below the *i-th* of *m* data points is computed as
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``(i - 1) / (m - 1)``.
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If *dist* is an instance of a class that defines an
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:meth:`~inv_cdf` method, setting *method* has no effect.
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.. doctest::
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