34 CQ. V. li. CHARLIER, 
Table 8. Characteristics of the frequency distribution of the 
" 
& and =” coordinates. 
Subclass M(&") a(&") Ma") O(a") S E 
Bo — 1.919 + 7.729 — 5.93 + 23.88 — 0,070 + 0.008 
Bi 0.486 + 3.523 — 3.92 + 28.40 -- -— 
B» 4 0.407 4 4.130 + 2.78 + 28.91 — -— 
Bs 1.681 4 5.055 - 5.88 + 17.69 + 0.041 + 0.020 
B 5 — 0.244 + 5.521 — 0.80 + 18.11 + 0.005 + 0.025 
Table 9. Characteristics of the frequency distribution of the 
7" and y" coordinates. 
Subclass M (q^) o (11) M (y) o (y^) S E 
Bo + 8.145 + 14.326 + 9.72 + 44.27 4 0.226 + 0.021 
Bi + 1.297 + 6.629 + 10.45 + 53.43 — — 
B» + 2.390 + 6.623 + 16.32 4 45.94 — —- 
Bs + 2.630 + 8.054 + 9.20 + 28.19 — 0.142 + 0.072 
B5 4 1.603 + 7.087 + 5.26 + 23.25 — 0.082 — 0,060 
Table 10. Characteristics of the frequency distribution of the 
t" and the 2" coordinates. 
Subelass M(&) o (5) M(z") 0 (2^) S E 
Bo — 6.895 4 12.008 — 21.31 + 37.10 — 0.153 + 0.027 
B 1 — 2.838 + 6.314 — 22.87 + 50.89 — — 
B 2 - 0.203 + 6.485 — 1.39 + 44,29 — -- 
B3 — 8.884 + 7.972 — 13.59 + 27.90 4 0.305 + 0.098 
Bs — 3.385 + + 24.25 + 0.165 + 0.062 
7.393 — 11.10 
We find from these tables that the excess (E) is in every fre- 
quency distribution very small and exceeds on no oceasion 0.1. The 
skewness (5) is evanescent in the x-coordinate, but has notable values 
in the y and 2 coordinates of some of the subtypes. The mean error 
in S exceeds, however, 0.1 and the results from different subtypes 
counterbalance each other, so that even regarding the skewness no 
deviation from the normal form seems to be indicated. 
The small differences between the mean values of the coordi- 
nates given in these tables and those given in the tables of § 14 are 
naturally due to the division into classes used in tables 5— 7. 
The mean values of the coordinates as well as their dispersions 
are in all cases (for x", y", 2") expressed in Siriometers. We find 
that the sun in all eases is situated nearer than half the dispersion 
from the centre of the system. 
