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In the United States, Canada, and Mexico, ring sizes are specified using a numerical scale with 1 ⁄ 4 steps, where whole sizes differ by 0.032 inches (0.81 mm) of internal diameter, equivalent to 0.1005 inches (2.55 mm) of internal circumference.
A gauge number denotes a thickness on a standardized scale which, for most purposes, starts at 20g (0.812 mm thick— often used for the posts for nose studs), and increases in thickness (as the gauge number decreases) to 0g, then 00g, and rarely goes any further as these thicknesses come closer and closer to 1 ⁄ 2 ″.
I've seen other pages that list it as ring_diameter = 11.54 + 0.83 * ring size, which more closely agrees with the size 0 number. On the other hand, a linear regression of this chart results in 11.634 + .8136 x ring_size. It's all over the place, and the charts don't even match from store to store.
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Examine the following interval scale chart. By examining the height of the bars, there seems to be as twice as many cats that are pets compared to dogs. Note the scale of the Y axis starts at 74 million. US Pet ownership for 2011-2012 using an interval scale. Data from Humane Society of the United States.
Gauge '3' corresponds to NEM II scale, also known as "Spur II" in Germany. The National 2.5 in Gauge Association continues to support live steam passenger hauling in 2.5-inch gauge using MES tracks. They use a "scale" appropriate to the original prototype modelling both standard and narrow gauge locomotives to run on 2.5-inch track. -1:16