J. F. Tocher 
331 
in having low variability in the distribution of that character. The male and 
female inmates at Fife are a selected group with respect to stature, their 
variability being significantly less than that of the general population. The 
variabilities of the diametral product {LBH) among the male inmates at Ayr 
and Gartloch are significantly less than the general population, wliile the females 
at Lenzie and Govan are also significantly less. The variabilities for the remaining 
asylums approximate to the general mean with the exception of the females at 
Aberdeen and Montrose, which show for jj^, as they do for H, significantly greater 
variabilities than the general population. The accompanying table (Table XII.) 
shows the values of the relative local differences in variabilities. Maps and 
diagrams have also been prepared to illustrate this variability, but their repro- 
duction has been considered unnecessary, the only facts of note being as just 
stated. The means and standard deviations of the differences, interlocally (shown 
in the table), measure (1) the fall in variability in passing from the general 
population to the individual groups for any one character, and (2) the amount of 
agreement, as to magnitude, among the differences themselves. It will be seen 
that // ((/ and % ) has the greatest negative value among the means, and the 
greatest variability among the differences in passing from asylum to asylum. 
So far as the question as to homogeneity or heterogeneity of district groups 
can be answered, it is answered in the following summary of differences probably 
significant. 
TABLE XIII. 
Variability Differences which are probably significant. 
L 
B 
H 
BjL 
Greater 
Less 
Greater 
Less 
Greater 
Less 
Greater 
Less 
Greater 
Less 
Greater 
Less 
Ayr^J 
Ayr S 
Invenie,s.s $ 
BaniT ? 
Inverness 
Aberdeen J 
Montrose 9 
Dundee i j. 
Argyll o, 
T rand 
Lenzie i „ 
Govan / * 
Paisley ^ 
Greenock (? 
Gartloch 
Perth 9 
Dumfries 9 
Fife 9 
Ayrc? 
Alierdeen 9 
Montrose 9 
Ayr S 
Gartloch $ 
Lenzie 9 
Govan 9 
FifecJ 
and 9 
(5) Differences between, Male and Female Values of Coefficients 
of Variation. 
In the Supplement to this memoir (pp. 5 — ^96) the values of the coefficients of 
variation for the various characters are given alongside the values of the means 
and standard deviations. In determining the differences between the values for 
