218 
PROFESSOR KARL PEARSON, MATHEMATICAL 
Franks 500-800 a.d. 
1 
F. 
H. 
T. 
R. 
Male. 
Female. 
f47) 
45-18 
(16) 
40-87 
(23) 
33-23 
(8) 
-29-39 
(31) 
36-81 
(') 
32-77 
(7) 
25-31 
(3) 
22-80 
This gives us :— 
Frankish Stature. 
Formula. 
Male. 
Female. 
(a) 
166-24 
152-34 
(G 
166-81 
152-41 
(c) 
16612 
151-85 
(cl) 
168-71 
157-44 
(e) 
166-30 
152-07 
if) 
166-32 
152-08 
(g) 
168-13 
154-88 
(h) 
166-74 
152-83 
(i) 
166-67 
152-.34 
(h) 
166-36 
151-03 
]\Iean 
166-84 (166-42) 
152-93 (152-12) i 
Sexual ratio / $ = 1'091. 
The lueans in brackets are obtained by omitting the results of formulm (cl) and {g), 
which are clearly exaggerated, owing to otdy the larger radii having survived. 
It is clear, accordingly, that the Frankish conquerors of Fomano-Gaul were not a 
tall race—nothing like as tall as the Anglo-Saxons who conquered Piomano-Britain.'" 
Further, while the English commonalty have, if anything, slightly progressed on the 
stature of their Teutonic invaders, the French commonalty have, if anything, 
regressed. 
* Of course, occasionally we find tall Franks, as tliose buried at Harmignies (Hainaut), Rahon 
loc. cit., p. 440. These give :— 
F. 
H. 
T. 
r. 
(a.) 
(h.) 
(r.) 
(d.) 
C-) 
(/-) 
0-) 
{h.) 
(i.) 
(h.) 
Mean. 
Jtale. . 
Female . 
50-52 
45-83 
34-9 
30-5 
41-0 
34-1 
27-3 
2i-5 
176-28 
161-98 
171-64 
155'47 
176-O.S 
154-98 
175-22 
159-78 
177'o4 
159-16 
177-36 
159-12 
174-46 
157-82 
171-75 
155-90 
174-77 
160-12 
170-03 
157-09 
174-5 
158-1 
These are tall as compared with tlie average Frencb of to-day, but not specially tall from the English 
standpoint, and certainly not comparable with Eaid Bkithnoth, 
