But don't you think it'd be inaccurate to compare the median incomes from the two schools? There should be an adjustment to take into account the higher (how much?) grades you're likely to get at the scholarship school.
I mean, you are very likely to have higher GPA and LSAT than average (or maybe even 75th percentile) at the school you get a scholarship from. However, you are probably at or below the median at the higher ranked school. So, you're more likely to have higher grades and a higher class rank at the scholarship school. Surely, if that is the case, some of the disparity in earnings will be erased between the two school choices.