High Volume Instrumentation (HVI) corrects a test specimen for beard linear density using a measurement of fiber fineness such as micronaire. Although accounting is not made for fiber fineness distribution, this factor may be of importance in enhanced technology of the HVI. For introductory discussion, twenty cotton samples have been examined for their length-fineness distributions. Suter-Webb sorting methods have been used to obtain these distributions. Ramifications of these distributions on the fineness of fibers within a randomly prepared test specimen are presented.