230 
PROFESSOR KARL PEARSON, MATHEMATICAL 
Now, there appears from this table to be a very clear rule, namely, that the sexual 
ratio for stature is certainly not sensibly larger than the least sexual ratio for the 
long bones. It would seem accordingly improbable that the sexual ratio for the 
Andamanese can exceed 1'034. If we compare this result with Man’s measurements 
on 48 male and 41 female Andamanese of which the statures were : male, mean 
149’2 centims. ; female, mean 140'3 centims., we find d/? = 1'063, a value 
much nearer that of the Aino. Sir W. H, Flower’s own estimated statures'"" give a 
sexual ratio of b034 ; the fundamental formulae for a normal population (p. 19G of 
this paper) give 1‘048 ; Manouvrter’s “ Coefficients moyens ultimes” give 1‘030, and 
by applying the ratios of stature to long bones as obtained from the average French 
population we find 1'023. The mean of all these results is 1‘038. For the Laps 
Mantegazza found male = 152’3 and female = 145'0, or the sexual ratio = 1’050. 
For the Negritos del Monte, or the Aigtas of Luzon in the Philippines, Marche and 
Montano give male = 144‘1 centims. and female = 138’4 centims., from v/hich we 
find the sexual ratio of 1’041. Topinard gives for races under 150 centims. a mean 
difterence of 4 per cent, between male and female which corresponds to a sexual ratio 
of P042. Feitsch found a mean difference between male and female Bushmen of 
4 centims. which gives (male = ]44'4 centims.) a sexual ratio of P028 ; while 
Parry’s observations on the Esquimaux appear to give a sexual ratio of 1'025, 
Sutherland’s I’036. From all this it is clear that the dwarfs have a very small 
sexual ratio for stature as compared with the normal population. At first sight it 
might seem best to assume this sexual ratio for dwarf races to be Topinard’s average 
of P042, but as we are going to apply our chart in connection with the sexual ratios 
found for the long bones of the Andamanese in the table above, I doubt whether it 
ought to be taken greater than 1’035, say 1‘034 in agreement with the value obtained 
from Flower’s estimates. Accordingly I formulate the following rule for ascer¬ 
taining from the chart the probable stature of a female of dw^arf race :— 
Pteduce the female long bones to male long bones by multiplying their lengths by 
P034 in the case of femur and tibia, by 1’049 iu the case of the humerus and 
1‘071 in the case of the radius. Find the corresponding male statures from the 
chart and multiply it by •9G62 [i.e., the reciprocal of 1‘035); these are the probable 
values of the female stature as estimated from the several long hones, and their mean 
may be taken as the best result available. 
(c) It seems very desirable to compare the results thus obtained for male and 
female of dwarf races with their statures otherwise estimated. If we form a table 
similar to that on p. 222, but for the case of dwarfs, we have— 
* Uflng the values given, ‘ .Journal of Anthropological Institute,’ vol. 14, p. II7. 
