# numpy.ma.average

ma.average(a, axis=None, weights=None, returned=False)

  Return the weighted average of array over the given axis.

  Parameters
    a array_like

      Data to be averaged. Masked entries are not taken into account in the computation.

    axis int, optional

      Axis along which to average a. If None, averaging is done over the flattened array.

    weights array_like, optional

      The importance that each element has in the computation of the average. The weights array can either be 1-D (in which case its length must be the size of a along the given axis) or of the same shape as a. If `weights=None`, then all data in a are assumed to have a weight equal to one. The 1-D calculation is:

          avg = sum(a * weights) / sum(weights)

      The only constraint on weights is that sum(weights) must not be 0.

    returned bool, optional

      Flag indicating whether a tuple `(result, sum of weights)` should be returned as output (True), or just the result (False). Default is False.

  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 always `float64`.

  Examples

      >>> 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)
      >>> 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)

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