W, R. Macdonell 
193 
On comparing this with the result obtained by the ordinary method, viz. 
r = '1831 + "0119, we conclude that we might improve our result by taking other 
limits of division ; we therefore re-form our table as follows : 
Height (feet and inches). 
5"7j% and under 
over 5'7^g- 
Totals 
15'3 and uuder 
1799 
397 
2196 
over 15-3 
587 
217 
804 
Totals 
2,386 
614 
3000 
Here 
= -464000 
A; = -61889 
e = -186974 
= -590667 
h = -82507 
log M = 2-9708265 
and the equation in 6 is : 
•186974 = e + -255314^2 - -133837^^ + -044029^^. 
Approximating to the root by Newton's rule, we find : 
d = -1794814 = 10" 17' 1" and r = -1785, 
a better result than before, but we will try yet another division, viz. 
TABLE X. 
Height (feet and inches). 
5'4j3j; and under 
over 
Totals 
H'8 and under 
over H'8 
455 
599 
622 
1324 
1077 
1923 
Totals 
1054 
1946 
3000 
Here a^ = - -297333 a„ = - -282000 
/^ = - -38173 = - -36114 
log OT= 1-1420742 e= -184125. 
The equation in 6 now becomes : 
•184125 = ^ + -068929^2 - 042689^^ + -024088^^ 
a solution of which is ^ = -1820710 = 10° 25' 55", 
and r = -1811 
with a probable error of ± '0210. 
As this result coincides very closely with that obtained by the usual method, 
we will rest satisfied with it, and in subsequent tables adopt the divisions of 
Biometrika i 17 
