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In case you haven't seen the source, these figures appear to be from the Raj Chetty research on 'equality of opportunity' - they calculated mobility rates for colleges and universities. The CUNY system ranks among the highest nationally, at 7.2% ('the fraction of students who come from a family in the bottom fifth of the income distribution and end up in the top fifth of the income distribution'), which is probably about 6X the rate for the Ivies.

The data for it are here: http://www.equality-of-opportunity.org/college/

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