numpy.average() has a weights option, but numpy.std() does not.  Does anyone have suggestions for a workaround?
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Answer
How about the following short “manual calculation”?
def weighted_avg_and_std(values, weights):
    """
    Return the weighted average and standard deviation.
    values, weights -- Numpy ndarrays with the same shape.
    """
    average = numpy.average(values, weights=weights)
    # Fast and numerically precise:
    variance = numpy.average((values-average)**2, weights=weights)
    return (average, math.sqrt(variance))
