1910-11.] Study of the Tasmanian, Australian, and Papuan. 23 
Throughout the work, x refers to length, y to breadth, z to height, 
these symbols themselves standing for the differences of individual 
measurements from the corresponding true means. Accented letters refer 
to provisional or uncorrected values : x, y, z are the differences between the 
respective provisional and true means. 
The total number of crania in any investigation is denoted by N, n being 
the symbol for the number having any one particular measurement ; thus 
N = 'Efn). /u 1 is the average first moment about the mean ; /ul 2 the average 
second moment. 
One example is given in detail of the determination of each of the 
quantities. Thereafter only results are shown. 
For the benefit of those who are not familiar with this application of 
modern biometric methods, it may be mentioned that there is an excellent 
account of the same published in the Proceedings of the Anatomical and 
Anthropological Society of the University of Aberdeen for 1902-1904, by 
Mr John Gray, under the title of “ The Analysis of Anthropometric 
Statistics ” (22) ; whilst there is also another explanatory paper by 
Worthington in the Journal of Anatomy and Physiology, vol. xxxv. 
p. 455, entitled “ On Professor Pearsons Contributions to Osteology ” (23). 
The detailed results of the present investigation are set forth in the 
accompanying tables, and following these is a comparative table showing 
the results attained for the three races. 
Tasmanian. 
Table of measurements : Table I. 
Crania not separated into sexes. Length : Table II. 
In this table is displayed the method of working, the mean 
length, the standard deviation, the coefficient of variation, and the 
probable errors. 
Crania not separated into sexes. Breadth and height : Table III. 
This table shows the results only of the mean breadth and 
mean height, with their standard deviations, coefficients of varia- 
tion, and probable errors. 
Crania not separated into sexes. Coefficients of correlation : Table IV. 
Breadth-height. Height-length. Length-breadth. 
Male crania only : Table V. 
Length, breadth, height. Coefficients of correlation. 
Female crania only : Table VI. 
Details as under males. 
