Compute the qth percentile of the data along the specified axis, while ignoring nan values.
Returns the qth percentile(s) of the array elements.
Parameters: 

a : array_like 
Input array or object that can be converted to an array, containing nan values to be ignored. 
q : array_like of float 
Percentile or sequence of percentiles to compute, which must be between 0 and 100 inclusive. 
axis : {int, tuple of int, None}, optional 
Axis or axes along which the percentiles are computed. The default is to compute the percentile(s) along a flattened version of the array. 
out : ndarray, optional 
Alternative output array in which to place the result. It must have the same shape and buffer length as the expected output, but the type (of the output) will be cast if necessary. 
overwrite_input : bool, optional 
If True, then allow the input array a to be modified by intermediate calculations, to save memory. In this case, the contents of the input a after this function completes is undefined. 
interpolation : {‘linear’, ‘lower’, ‘higher’, ‘midpoint’, ‘nearest’} 
This optional parameter specifies the interpolation method to use when the desired percentile lies between two data points i < j :  ‘linear’:
i + (j  i) * fraction , where fraction is the fractional part of the index surrounded by i and j .  ‘lower’:
i .  ‘higher’:
j .  ‘nearest’:
i or j , whichever is nearest.  ‘midpoint’:
(i + j) / 2 . 
keepdims : bool, optional 
If this is set to True, the axes which are reduced are left in the result as dimensions with size one. With this option, the result will broadcast correctly against the original array a . If this is anything but the default value it will be passed through (in the special case of an empty array) to the mean function of the underlying array. If the array is a subclass and mean does not have the kwarg keepdims this will raise a RuntimeError. 
Returns: 

percentile : scalar or ndarray 
If q is a single percentile and axis=None , then the result is a scalar. If multiple percentiles are given, first axis of the result corresponds to the percentiles. The other axes are the axes that remain after the reduction of a . If the input contains integers or floats smaller than float64 , the output datatype is float64 . Otherwise, the output datatype is the same as that of the input. If out is specified, that array is returned instead. 
Notes
Given a vector V
of length N
, the q
th percentile of V
is the value q/100
of the way from the minimum to the maximum in a sorted copy of V
. The values and distances of the two nearest neighbors as well as the interpolation
parameter will determine the percentile if the normalized ranking does not match the location of q
exactly. This function is the same as the median if q=50
, the same as the minimum if q=0
and the same as the maximum if q=100
.
Examples
>>> a = np.array([[10., 7., 4.], [3., 2., 1.]])
>>> a[0][1] = np.nan
>>> a
array([[10., nan, 4.],
[ 3., 2., 1.]])
>>> np.percentile(a, 50)
nan
>>> np.nanpercentile(a, 50)
3.0
>>> np.nanpercentile(a, 50, axis=0)
array([6.5, 2. , 2.5])
>>> np.nanpercentile(a, 50, axis=1, keepdims=True)
array([[7.],
[2.]])
>>> m = np.nanpercentile(a, 50, axis=0)
>>> out = np.zeros_like(m)
>>> np.nanpercentile(a, 50, axis=0, out=out)
array([6.5, 2. , 2.5])
>>> m
array([6.5, 2. , 2.5])
>>> b = a.copy()
>>> np.nanpercentile(b, 50, axis=1, overwrite_input=True)
array([7., 2.])
>>> assert not np.all(a==b)