As a designer, you specify a tolerance zone and accept the fact that you cannot rightfully reject any part that comes within any of the in-tolerance numbers. But you will always be looking at the numbers and thinking "Dang it'd sure be nice if we held this one to the tighter end," but you know if you detailed it to that tight of a dimension, it'll drive the price of the part up, so you loosen it up within acceptable means, and deal with what you get.
As an inspector, no number is any better than any other number. There is good and bad, go or no-go, black and white.
As a button-pusher, they may shoot for the median to make their life easier, or shoot toward LMC so they don't have to change their tools as they wear, as often, so they can boost their production numbers.
As a machinist worth their salt, they will look at the purpose of the part and do their best to make the best part they can, including consideration for fits, datums, and other functional surfaces/components/holes.
Depends on what seat you're in.
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NX8.0, Solidworks 2014, AutoCAD, Enovia V5