A name gated on nineteen microns
On this page10
Cashmere is a federally defined term and the definition is physical
The term may be used only if the fiber consists of the fine dehaired undercoat fibers produced by a cashmere goat, named in the rule as capra hircus laniger.
Then a mean
The average diameter of such cashmere fiber does not exceed 19 microns. A micron is a thousandth of a millimeter, so the rule is specifying a dimension no unaided eye can check.
Then a tail
The cashmere fibers in the product contain no more than 3 percent by weight of cashmere fibers with average diameters that exceed 30 microns. So the mean is not enough on its own; the coarse end of the distribution is capped separately.
And then a variance
The average fiber diameter may be subject to a coefficient of variation around the mean that shall not exceed 24 percent. Which is a statistical dispersion measure written into the Code of Federal Regulations.
A coefficient of variation is the standard deviation over the mean
It describes how spread out a distribution is relative to its center. Two batches can share a mean of 18 microns and only one of them satisfy this paragraph.
Nothing else in this library is indexed on a measure of spread
The other spines use a threshold, a proportion, an area, a volume, a temperature or a count. This one reaches for the shape of a distribution, which is a different kind of requirement altogether.
And it is the exact complement of the embroidery spine next door
Part 303 forbids naming a fiber that is under five percent of the total fiber weight. Part 300 permits naming a fiber only if it measures within a mean, a tail and a variance. Suppression by amount in one part, permission by measurement in the other.
Mohair is handled in the same section and more simply
The term may be used for the hair of the Angora goat in lieu of the word wool, provided the percentage of each such fiber is given, and qualified by the word recycled where the fiber is recycled wool.
With three worked examples in the text
50 percent mohair and 50 percent wool. 60 percent recycled mohair and 40 percent cashmere. 60 percent cotton and 40 percent recycled cashmere. The rule writes out the designations it will accept.