numpy.ma.average#
- ma.average(a, axis=None, weights=None, returned=False, *, keepdims=<no value>)[source]#
Return the weighted average of array over the given axis.
- Parameters:
- aarray_like
Data to be averaged. Masked entries are not taken into account in the computation.
- axisNone or int or tuple of ints, optional
Axis or axes along which to average a. The default, axis=None, will average over all of the elements of the input array. If axis is a tuple of ints, averaging is performed on all of the axes specified in the tuple instead of a single axis or all the axes as before.
- weightsarray_like, optional
An array of weights associated with the values in a. Each value in a contributes to the average according to its associated weight. The array of weights must be the same shape as a if no axis is specified, otherwise the weights must have dimensions and shape consistent with a along the specified axis. If weights=None, then all data in a are assumed to have a weight equal to one. The calculation is:
avg = sum(a * weights) / sum(weights)
where the sum is over all included elements. The only constraint on the values of weights is that sum(weights) must not be 0.
- returnedbool, optional
Flag indicating whether a tuple
(result, sum of weights)
should be returned as output (True), or just the result (False). Default is False.- keepdimsbool, 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 a. Note: keepdims will not work with instances of
numpy.matrix
or other classes whose methods do not support keepdims.New in version 1.23.0.
- Returns:
- average, [sum_of_weights](tuple of) scalar or MaskedArray
The average along the specified axis. When returned is True, return a tuple with the average as the first element and the sum of the weights as the second element. The return type is np.float64 if a is of integer type and floats smaller than
float64
, or the input data-type, otherwise. If returned, sum_of_weights is alwaysfloat64
.
- Raises:
- ZeroDivisionError
When all weights along axis are zero. See
numpy.ma.average
for a version robust to this type of error.- TypeError
When weights does not have the same shape as a, and axis=None.
- ValueError
When weights does not have dimensions and shape consistent with a along specified axis.
Examples
>>> import numpy as np >>> a = np.ma.array([1., 2., 3., 4.], mask=[False, False, True, True]) >>> np.ma.average(a, weights=[3, 1, 0, 0]) 1.25
>>> x = np.ma.arange(6.).reshape(3, 2) >>> x masked_array( data=[[0., 1.], [2., 3.], [4., 5.]], mask=False, fill_value=1e+20) >>> data = np.arange(8).reshape((2, 2, 2)) >>> data array([[[0, 1], [2, 3]], [[4, 5], [6, 7]]]) >>> np.ma.average(data, axis=(0, 1), weights=[[1./4, 3./4], [1., 1./2]]) masked_array(data=[3.4, 4.4], mask=[False, False], fill_value=1e+20) >>> np.ma.average(data, axis=0, weights=[[1./4, 3./4], [1., 1./2]]) Traceback (most recent call last): ... ValueError: Shape of weights must be consistent with shape of a along specified axis.
>>> avg, sumweights = np.ma.average(x, axis=0, weights=[1, 2, 3], ... returned=True) >>> avg masked_array(data=[2.6666666666666665, 3.6666666666666665], mask=[False, False], fill_value=1e+20)
With
keepdims=True
, the following result has shape (3, 1).>>> np.ma.average(x, axis=1, keepdims=True) masked_array( data=[[0.5], [2.5], [4.5]], mask=False, fill_value=1e+20)