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1. If a series of measurements, physical, biological, anthropological, or economical, not of the same object, but of a group of objects of the same type or family, be made, and a curve be constructed by plotting up the number of times the measurements fall within a given small unit of range to the range, this curve may be termed afrequency curve . As a rule this frequency curve takes the well known form of the curve of errors, and such a curve may be termed anormal frequency curve . The latter curve is symmetrical about its maximum ordinate. Occasionally, however, frequency curves do not take the normal form, and are then generally, but not necessarily, asymmetrical.

III. Contributions to the mathematical theory of evolution