`scipy.stats._probability_distribution:_ProbabilityDistribution.median`

source: /scipy/stats/_probability_distribution.py :378

Signature

def median ( self , * , method )

Summary

Median (50th percentile)

Extended Summary

If a continuous random variable $X$ has probability $0.5$ of taking on a value less than $m$ , then $m$ is the median.

More generally, a median is a value $m$ for which:

P (X \leq m) \leq 0.5 \geq P (X \geq m)

For discrete random variables, the median may not be unique, in which case the smallest value satisfying the definition is reported.

Parameters

method : {None, 'formula', 'icdf'}

The strategy used to evaluate the median. By default (None), the infrastructure chooses between the following options, listed in order of precedence.

'formula': use a formula for the median
'icdf': evaluate the inverse CDF of 0.5

Not all method options are available for all distributions. If the selected method is not available, a NotImplementedError will be raised.

Returns

out : array: The median

Examples

Instantiate a distribution with the desired parameters:

from scipy import stats
X = stats.Uniform(a=0., b=10.)

✓

Compute the median:

X.median()

✓

X.median() == X.icdf(0.5) == X.iccdf(0.5)

✗

Aliases

scipy.stats._distribution_infrastructure._ProbabilityDistribution.median