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this post was submitted on 23 Sep 2026
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For one thing, it maximizes the amount of information the census contains: if you’re splitting a group into bins, the splitting with the lowest entropy is the one with equal-sized bins. If the bin sizes fluctuate with time (as a proportion of the overall population), the amount of information the census captures will vary as well. If your definition of lower-income includes 100% (or 0%) of the population, then assigning someone to a category tells you nothing about them you didn't already know.