182 PROFESSOR KARL PEARSON, MATHEMATICAL 
(a) 
(^>) 
(^) 
(^0 
(^) 
if) 
fj) 
{h) 
(0 
(/.) 
(a) 
(h) 
(c) 
(d) 
if 
if) 
id) 
(A) 
(^) 
(A) 
(6.) Now these tables require a good deal of comment. In the first place they 
must not be considered as extending beyond the range of data on which they are 
based, thus Pt, F and H are the maximum lengths of bones measured with the 
cartilage attached, and in a humid state, T is the tibia length excluding spine. Ail 
the constants were worked out for the right members, except in one or two cases in 
which they were missing. The stature is the stature measured on the corpse. 
Further the measurements are made on the French race. 
We shall now proceed to generalise these formulae. In the first place, the 
* It may appear strange that the probable error of (e) is less than (/), but the difference is really 
less than the probable error of the observations. If be calculated from the known values of o-p, o-j 
and /-px, &c., we find it equals ‘8369 instead of '8384 the directly calculated value, while o-p+x thus calcu¬ 
lated =: 3'967 instead of 3‘979, whence e — 2'031/vb-’ instead of 2'023/vA’, which- is in agi’ceinent with 
the general theorem on p. 173. 
s- 
s- 
s- 
s- 
s- 
s - 
s - 
s - 
Q 
s 
Table V.—Male. 
Ms = 1-880 (F - Mp), 
Ms = 2-894 (H - Mh), 
Ms = 2-376 (T — Mt), 
Ms = 3-271 (R — Mb), 
Ms =1-159 (F + T-Mpx.t), 
Ms = 1-220 (F - Mp) + 1-080 (T — Mx), 
Ms = 1-730 (H -p P* -“ ^'^u + r)} 
Ms = 2-769 (H - Mh) + -195 (R - Mb), 
Ms = 1-030 (F - Mb) + 1-557 (H - Mh), 
Ms— -913 (F — Mp) +-600 (T — Mx) 
+ 1-225 (H - Mh) - -187 (Pv - Mb) 
Table VI.—Female. 
S — Ms = 1-945 (F - Mf), 
S-Ms = 2-754 (H-Mh), 
S - Ms = 2-352 (T - Mx), 
S - Mg = 3-343 (R - Mb), 
S - Ms = 1-126 (F + T - Mp+x), 
S - Ms = 1-117 (F - Mp) + 1-125 (T 
S - Ms = 1-628 (H + R - Mh+r), 
S — Ms = 2-582 (H — M„) + -281 (R - Mr), 
S - Ms = 1-339 (F - Mp) + P027 (H - Mh), 
S - Ms = -782 (F - Mp) + 1-120 (T - Mx) ' 
+ 1-059 (H - Mh) - -711 (R — Mr) 
- o 
2•174/^/p. 
2’666/\/ p. 
2-023/\/p.'' 
2-030/v/^ 
2-240/yp. 
2-179/x/p. 
1-9621 fp. 
= 1-961! Vp. 
Mx), e = 
2-182/v/p. 
2-343/vA9. 
2-2451 y/p, 
2-726l^p, 
2-068/yp, 
2-9651 y/Jx 
2-41-2/v/p. 
2-340/v/p. 
2-120/yp. 
e 2-024/v/p. 
