TL;DR - min of N is bounded below by the true, necessary time to do some 
calculation and can substitute for a "best case analysis". On the other side, 
max of N times on a multi-tasking system is not bounded by anything and 
polluted by everything. The upper tails mostly measure things that probably "do 
not generalize" to other systems (or even the same system at other times). max 
of N times cannot substitute for worst case analysis and mostly creates 
confusion which I suspect is the case here.

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