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the wikipedia version for anyone interested: https://en.wikipedia.org/wiki/Central_tendency#Solutions_to_variational_problems https://en.wikipedia.org/wiki/Cent

• ImaCake 6y ago
  Thanks this is a great way to extend and generalise OP's post. Thanks for sharing. I don't think I would have been able to understand the wikipedia argument without the more intuitive explanation in the original post. As an aside, I wonder if math is sometimes difficult to understand/explain because the language is so constrained. Obviously, careful use of words is important for translating mathematical definitions verbatim, but I think a more relaxed approach to word translations of math equations would be beneficial to everyone below second year math/statistics at university. Even if they are left with a technically incomplete/incorrect definition or intuition for a given concept.