Because the stock that you buy is sold by nominal weight, but the raw materials are purchased by actual weight, you will very, very rarely see a bar on the plus side of the tolerance zone.
It's like selling air for the price of an equivalent volume of metal. The volume, and the savings, become significant in mill order quantities.
Extending the same logic, selling you a fatter than nominal bar at the nominal weight price amounts to giving away metal, and no sane mill manager is going to do that.
I get the impression that all metal mills aim their processes at a point below the midpoint of the lower half of the commercial tolerance zone for each dimension.
If you're going to use the as- delivered stock in a stackup where the dimension is important, and I suggest that you don't, don't assume that the mean of the delivered distribution will come in anywhere near the center of the standard tolerance zone. Also be aware that 'normal handling' will produce burrs and scars that may affect your stackup, unless you pay extra for individual wrapping on each bar, and there goes your savings.
Mike Halloran
Pembroke Pines, FL, USA