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Calculating median age for a group of US census blocks?

Responses to your questions:
Q1: No. It is not mathematically valid, sadly.

Q2: I do not know, but your intuition that this is a possible solution is correct.

I don't use US Census data anymore, but suspect that the data exists. Whether they are publicly-available is a different question. I suspect, though, that block level age-sex cohort in five-year intervals is available, given this is the usual ingredient for a population pyramid. That data could be used to calculate a less exact median, if you make some simplifying assumptions.

Best regards,
Jeff
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