Elendur_Krown t1_j1hfuas wrote
Reply to comment by AlexHanson007 in Compared to your other family members, how would you rate yourself as a gift giver on a scale of 0-100? [OC] by GradientMetrics
Why would it have to be normally distributed?
In my eyes a non-biased relative comparison could end up with a whole host of distributions. A relative measure only means that you'll translate and perhaps rescale the original distribution.
Do you have a theorem or specific result to refer to?
I should also point out that the Lake Wobegon effect is at its most relevant when the underlying distribution is symmetric. Meaning that the average and the median are equivalent. This does hold for e.g. normal distributions. But if we allow for distributions with long smaller-than-mean tails, it would be possible that a majority are better than the mean.
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