Spanky, re-read your own post if you need to, but it does not explain anywhere how the term "median" is ambiguous. You explain why medians and means diverge, and you explain why medians will change if you data sets change, but there's nothing ambiguous about the term.
Let's make this concrete. Here's a data series:
1, 2, 3, 9, 10.
What's the median? 3, right? What's ambiguous about that? The mean is 5, so the mean is greater than the median, but that's not a defect in the concept of medians, it's just a reflection that the two terms mean different things.
You seem to be especially combative about this because you think I was using median incomes to imply mean incomes were falling. But that's not what I said. I just said medians were falling.
