Your best bet is to check with your supplier as to their tolerances for a particular product.

different specs have different tol.
Most common grades are made to pass a number of different specs at once.  You need to ask the guys making (or selling) it.

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What material requirements?  The ASTM standards cover the dimensions, thickness tolerances and allowances.

ASTM A 176 covers stainless and chromium
ASTM A 480 covers sheet steel finish.  ASTM A 568 Steel, Sheet, Carbon, Structural, and High-Strength, Low-
Alloy, Hot-Rolled and Cold-Rolled, General Requirements
ASTM A 635 Steel, Sheet and Strip, Heavy-Thickness Coils, Hot-Rolled, Carbon, Structural, High-Strength Low-Alloy, and High-Strength Low-Alloy with Improved Formability,...

For A 568 the tolerances are for over thickness - with no under thickness.  For thickness down to 0.031 inch the tolerance is as low as 0.010 inch  --  increasing to 0.018 inch for thickness 0.180 on sheets over 40 inch wide.  Let's say that 11 gauge has a nominal thickness of 0.1196-inch (from memory).  The permitted thickness would be from 0.1196 to 0.1356 as this thickness permits 0.016-inch tolerance for sheets over 40 inch wide.  The tolerance is only 0.014-inch for sheet narrower than 40 inches.  This explains why 11 gauge at 0.1196-inch is called 1/8th inch.

Thanks guys, however I guess I was not specific enough. Yes I know to go to the manufacturer of the product. What I was looking for in a nutshell is a spread sheet that covers the different cold rolled steel sheet gages from 22 gauge to 7 gauge (.25 thick)showing the mills tolerances for each specific gauge. For example 16 ga crs .059 thk +/- .004

inch only
Gage #    Steel  Tubing    Alumin    Stainless
6/0    ----    ----    0.58    0.4687
5/0    ----    0.5    0.5165    0.4375
4/0    ----    0.454    0.46    0.4062
3/0    ----    0.425    0.4096    0.375
2/0    ----    0.38    0.3648    0.3437
0    ----    0.34    0.3249    0.3125
1    ----    0.3    0.2893    0.2812
2    ----    0.284    0.2576    0.2656
3    0.2391    0.259    0.2294    0.25
4    0.2242    0.238    0.2043    0.2344
5    0.2092    0.22    0.1819    0.2187
6    0.1943    0.203    0.162    0.2031
7    0.1793    0.18    0.1443    0.1875
8    0.1644    0.165    0.1285    0.1719
9    0.1495    0.148    0.1144    0.1562
10    0.1345    0.134    0.1019    0.1406
11    0.1196    0.12    0.0907    0.125
12    0.1046    0.109    0.0808    0.1094
13    0.0897    0.095    0.072    0.0937
14    0.0747    0.083    0.0641    0.0781
15    0.0673    0.072    0.0571    0.0703
16    0.0598    0.065    0.0508    0.0625
17    0.0538    0.058    0.0453    0.0562
18    0.0478    0.049    0.0403    0.05
19    0.0418    0.042    0.0359    0.0437
20    0.0359    0.035    0.032    0.0375
21    0.0329    0.032    0.0285    0.0344
22    0.0299    0.028    0.0253    0.0312
23    0.0269    0.025    0.0226    0.0281
24    0.0239    0.022    0.0201    0.025
25    0.0209    0.02    0.0179    0.0219
26    0.0179    0.018    0.0159    0.0187
27    0.0164    0.016    0.0142    0.0172
28    0.0149    0.014    0.0126    0.0156
29    0.0135    0.013    0.0113    0.0141
30    0.012    0.012    0.01    0.0125
31    0.0105    0.01    0.0089    0.0109
32    0.0097    0.009    0.008    0.0102
33    0.009    0.008    0.0071    0.0094
34    0.0082    0.007    0.0063    0.0086
35    0.0075    0.005    0.0056    0.0078
36    0.0067    0.004    0.005    0.007
37    0.0064    ----    0.0045    0.0066
38    0.006    ----    0.004    0.0062

AWG      inch     mm
OOOO    0.46    11.684
OOO    0.4096    10.40384
OO    0.3648    9.26592
0    0.3249    8.25246
1    0.2893    7.34822
2    0.2576    6.54304
3    0.2294    5.82676
4    0.2043    5.18922
5    0.1819    4.62026
6    0.162    4.1148
7    0.1443    3.66522
8    0.1285    3.2639
9    0.1144    2.90576
10    0.1019    2.58826
11    0.0907    2.30378
12    0.0808    2.05232
13    0.072    1.8288
14    0.0641    1.62814
15    0.0571    1.45034
16    0.0508    1.29032
17    0.0453    1.15062
18    0.0403    1.02362
19    0.0359    0.91186
20    0.032    0.8128
21    0.0285    0.7239
22    0.0254    0.64516
23    0.0226    0.57404
24    0.0201    0.51054
25    0.0179    0.45466
26    0.0159    0.40386
27    0.0142    0.36068
28    0.0126    0.32004
29    0.0113    0.28702
30    0.01    0.254
31    0.0089    0.22606
32    0.008    0.2032
Metric 2.0    0.00787    0.2
33    0.0071    0.18034
Metric 1.8    0.00709    0.18
34    0.0063    0.16002
Metric 1.6    0.0063    0.16002
35    0.0056    0.14224
Metric 1.4    0.00551    0.14
36    0.005    0.127
Metric 1.25    0.00492    0.125
37    0.0045    0.1143
Metric 1.12    0.00441    0.112
38    0.004    0.1016
Metric 1    0.00394    0.1
39    0.0035    0.0889
40    0.0031    0.07874
        

The tables are better in a spreadsheet format.  Submit your email in a non fishing format such as fname dot lname at URL dot com