STUDIES IN STELLAR Statistics. Il. Bw 
For obtaining the relative moments v, about the mean (= the 
centre), we make use of the mean values of the coordinates from 
table 13. Dividing the numbers in the last row of this table by N = 751 
we get: 
Mie") =m, == ass 
M(y") = ma = + 9.274 
M(e") = m; = — 15.028 
Using the formula 
en Ya mM, Ya Va Mm, 
Vp m MM, 
Pg DIDA TL De MN, 
we get 
y,—-4-408.7, % = + 1338.47 
| 
pe ogi taraen 
LA ae ze 530,72 5 Va, — "i 1141.20 
i = UR 
Having the form of the frequency function, we may now cal- 
culate the dispersions 6, and the coefficients of correlation r;, defined 
through the equations 
B= Vi, Ty = 99/0) . 
which give 
0; = -d-21.e65 , 1, = + 0.0264 
0) = Ar 00.59) c 7 — 1.0.0257 
0, = + 33.78 , Vo = — 0.0894 
Moreover we have, according to Medd. N:o 66 use of the de- 
minant 
[Sha MS e Poe l'in | 
| 
ra Lue E 
| . 
Mrs es à I 
and its subdeterminants, S,, of the first order. 
