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Far too early to math all the numbers, but one note to this is that it’s entirely possible to start with a median metric and switch to mean from there, their argument being how that’s not possible right off the bat.
Start off at a median number, which statisticians love because it flattens out the effects of excessive weights on any particular segment, such as we have in the USA with a small number of obscenely rich people.
But then strip the anomaly from the dataset and recalculate the mean and get a proper average. The median may not move any meaningful amount, but without the anomaly the mean becomes more true to the sample.
Far too early to math all the numbers, but one note to this is that it’s entirely possible to start with a median metric and switch to mean from there, their argument being how that’s not possible right off the bat.
Start off at a median number, which statisticians love because it flattens out the effects of excessive weights on any particular segment, such as we have in the USA with a small number of obscenely rich people.
But then strip the anomaly from the dataset and recalculate the mean and get a proper average. The median may not move any meaningful amount, but without the anomaly the mean becomes more true to the sample.