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This may not be a likely distribution of sex partners, but it certainly isn't logically impossible. I've written before about how the notion of "average" is confusing because it's ambiguous between two common measures of typicality―mean and median―and a third, less common one―mode. In this case, it appears that median and mean are being confused. It's not logically impossible for the median to be as reported, but it would be impossible for those numbers to be means. So, when the article ambiguously states that "it is logically impossible for heterosexual men to have more partners on average than heterosexual women", by "on average" it must be referring to the mean, not the median.


Source: Gina Kolata, "The Myth, the Math, the Sex", The New York Times, 8/12/2007


Source: Jordan Ellenberg, "Mean Girls", Do the Math, 8/13/2007


Resource: "Average" Ambiguity, 11/4/2002