Mathematical Contributions to the Theory of Evolution. oo3 



Table VII. — Racial Ratios : French to Aino. 

 Correlations. 



Organs. 



$ 







y> VJO 



1 uoo 





\J vol 



J uou 



Femur and Ratlins, bj. and R 2 . or R^ 



U V-iO 



1 IUO 





1 loo 



1 .1 OA 



-LiDia ana itaaius, ±o. ana. xto. or ±3. ana. ±v^. . . 



yuz 



1 Uol 



Humerus and Radius, H. and R*., or Rj 



1 '089 



1 ' 152 



Tibia and Fibula, To. and Fib 



1-078 



1-014 





0-986 



1-024 



Humerus and Ulna, H. and U 



1-002 



1-150 



Radius and Ulna, Ro. or Rj. and U 



0-896 



0-948 





1 -0007 



1 -065 



Rate of progression of females over males in correlation = 1*065. 



5. Now the tables illustrate at once how little can be judged for 

 the problem of variation from any single measurement when the 

 series are so small, and the measurements do not entirely correspond. 

 We are forced to argue only from the general trend of the whole 

 group. On the other hand, with the exception of the clavicle and 

 scapular index, the probable errors in the correlation are sufficiently 

 small for fairly good inferences to be drawn.* We will deal first 

 with the general problems with regard to sex, and then with those 

 bearing on race. 



6. Sextial Ratios. — In all cases the sexual ratio for the mean length 

 of any bone is greater than unity. Grouping both French and Aino 

 together, we have 17 series giving a mean sexual ratio for the long- 

 bones in civilised and uncivilised man of 1*088. This agrees well 

 with the value 1*089 determined for a series of rather different 

 contents in the paper on 'Variation in Man and Woman ' (loc. tit., 

 p. 374) referred to above. Turning to sexual ratio in variation, we 

 find, for French and Aino together, the value 0*976. The value as 



* So far as these relate to the nature of the correlation between individual long 

 bones, we have placed our results at the disposal of Mr. E. Warren, who is dealing 

 with the long bones of the Libyan (?) skeletons. 



