Table V. tells us that the percentage of whorls in the right ring-finger is 45, and in the left ring-finger 31. Table VI_a_ tells us that the percentage of the double event of a whorl occurring on both the ring-fingers of the same person is 26. It is required to express the relationship between the right and left ring-fingers on a centesimal scale, in which 0 deg. shall stand for no relationship at all, and 100 deg. for the closest possible relationship. If no relationship should exist, there would nevertheless be a certain percentage of instances, due to pure chance, of the double event of whorls occurring in both ring-fingers, and it is easy to calculate their frequency from the above data. The number of possible combinations of 100 right ring-fingers with 100 left ones is 100 x 100, and of these 45 x 31 would be double events as above (call these for brevity "double whorls"). Consequently the chance of a double whorl in any single couplet is (45x31)/(100x100), and their average frequency in 100 couplets,--in other words, their average percentage is (45x31)/100 = 13.95, say 14. If, then, the observed percentage of double whorls should be only 14, it would be a proof that the A. L. W. classes of patterns on the right and left ring-fingers were quite independent; so their relationship, as expressed on the centesimal scale, would be 0 deg. There could never be less than 14 double whorls under the given conditions, except through some statistical irregularity. Now consider the opposite extreme of the closest possible relationship, subject however, and this is the weak point, to the paramount condition that the average frequencies of the A. L. W. classes may be taken as _pre-established_. As there are 45 per cent of whorls on the right ring-finger, and only 31 on the left, the tendency to form double whorls, however stringent it may be, can only be satisfied in 31 cases. There remains a superfluity of 14 per cent cases in the right ring-finger which perforce must have for their partners either arches or loops. Hence the percentage of frequency that indicates the closest feasible relationship under the pre-established conditions, would be 31. The range of all possible relationships in respect to whorls, would consequently lie between a percentage frequency of the minimum 14 and the maximum 31, while the observed frequency is of the intermediate value of 26. Subtracting the 14 from these three values, we have the series of 0, 12, 17. These terms can be converted into their equivalents in a centesimal scale that reaches from 0 deg. to 100 deg. instead of from 0 deg. to 17 deg., by the ordinary rule of three, 12:_x_::17:100; _x_=70 or 71, whence the value _x_ of the observed relationship on the centesimal scale would be 70 deg. or 71 deg., neglecting decimals.