Poor ‘mean’…, just because is ‘average’

Recently I had my private nightmare trying to explain…, well, better defend our poor ‘average’; it is most probably the most used and abused statistical measure, and is not always well employed. For starters, the biggest confussion between it and the ‘mean’ in probabilistic contexts; then, some misunderstandings on the use of the ‘median’, an ‘average’ ‘mean’ s cousin. Following with the lack of sampling information (type of sampling, sampling error, confidence, variance), and finishing with this post that hasn’t closed the gap between previous knowledge and current knowledge on the matter, for sure…, but that’s another history.
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