942 PROF.W. H. MILLER ON THE CONSTRUCTION OF THE NEW STANDARD POUND. 
Probable errors of the weights (64), (32), (16), (8), (4), (2), J. 
Page. 
Weights compared. 
No. of com- 
parisons (w). 
Probable error of 
one comparison. 
Probable error < 
n comparisons. 
829 
(64) + l6, y(K + L-l-M+N + R + S) 
10 
^•000150 
0-000050 
830 
(64), (32) + (l6) + (8) + (4) + (2) + 2J 
5 
0-000144 
0-000072 
830 
(32), (l6) + (8) + (4) + (2)+2J 
5 
0-000095 
0-000047 
830 
(16), (8) + (4) + (2) + 2J 
5 
0-000082 
0-000041 
830 
(8), (4) + (2) + 2J 
5 
0-000036 
0-000018 
830 
(4), (2) + 2J 
5 
0-000031 
0-000016 
830 
(2), 2J 
5 
0-000141 
0-000070 
The probable error of K+L+M-j-N-j-R+S is O'OOOOlO grain, and the probable 
error of J is 0’000015 grain. 
Probable errors of the comparisons of 91, the Kilogramme des Archives, with 
K+L+B, and with the platinum kilogramme (B, and of the comparisons of 
^ with I+K-}-A, I+L+B, I+M+r, I-j-N+A. 
Page. 
Weights compared. 
No. of comparisons (n). 
Probable error of one comparison. 
gr- 
Probable error of n comp 
gr- 
891 
H, K + L + B 
60 
0-001769 
0-000230 
882 
% e 
200 
0-001594 
0-000113 
886 
e, i+k+a 
34 
0-001296 
0-000226 
886 
CB, I -)-L-)- B 
40 
0-000790 
0-000127 
887 
(£, i+M+r 
40 
0-001333 
0-000213 
888 
(£, I + N+A 
42 
0-000987 
0-000154 
Probable errors of the auxiliary weights used in obtaining the value of C in terms of L 
Page. 
Weights compared. 
No. of comparisons (w). 
Probable error of one comparison. 
gr- 
Probable error of n comparisons. 
gr- 
889 
I, A4-B-f~r-i-A 
24 
0-000469 
0-000097 
889 
A, z+e 
10 
0-000373 
0-000124 
889 
B, z + e 
10 
0-000510 
0-000170 
890 
r, z + e 
10 
0-000372 
0-000124 
890 
A, z+e 
10 
0-000467 
0-000146 
0 = sum of weights L, M of neaidy 80 grains each, J, the mean of two grain 
weights, and Q, the mean of the ten weights of 0'64509 grain, the probable errors of 
which are 0*000083 grain, 0*000066 grain, 0*000015 grain, 0*000004 grain respect- 
ively. Therefore the probable error of 0 is 0*000107 grain. Hence the probable 
error of (B in terms of I is 0*000193 grain. But the probable error of the com- 
parison of (B with 91 is 0*0001 13 grain. Therefore the probable error of the value of 
91 in grains of which I contains 7000*00000, is 0*000224 grain. 
The four different values of (B obtained by substituting for K, L, M, N their values 
in terms of I, and for A, B, F, A their values in terms of Z-j-0, are affected by the 
errors of the comparisons of (B with I-f-K-f-A, I-j-L+B, I-j-M-l-r, I-|-N-)-A, com- 
bined with the errors of the comparisons of A, B, F, A with Z-j-0. Their differences 
from the mean are -|-0*00176 grain, -f-0*00026 grain, —0*00105 grain, —0*00098 
grain respectively. 
The probable error of the value of 91 in grains of which I contains 7000*00000, 
obtained by comparing it with K-j-L-j-B, is 0*000334 grain. 
