256 On Corrections for Moment Coefficients 
Hence we deduce : 
1247 X («/ - Jyit/ + vitW"/) = - 75-422,972, 
1247 X yi^^(ao' - ifeo,;) = 17-970,765, 
and 1247/i/"= 12004-077,028, 
1247/a/" = 8:31545-75 - 103-916,667 - 17-970,765, 
= 331423-862,568. 
Again by (xxxi) : 
-8753/i," = - 6961-151,020, 8753yUo" = 6002-499,428. 
Thus : fx; = (Hl^Sfi," + 1247/i/")/10,000 = -504,293, 
= (8753/i," + 1247ya,/")/10,000 = 33-742,636. 
Accord ingl}' we have for females : 
Mean = 1-5043 years. 
Standard Deviation = 5-7869 years. 
These are both in fairly good accord with the result that would have been 
obtained by the a priori guess of 0-2 for centring the first sub-frequency. 
(13) Illustration VI. It is not without interest to inquire if this centring 
of 0 2 maintains itself when we turn to other material for congenital malformations. 
"We can use the material provided in the United States Census for 1899 — 1900, 
Vol. IV, p. 670. From the data there given we deduce that for 10,000 congenitally 
malformed individuals of either sex born : 
Died in year of life 
Males 
Females 
0—1 
9626 • 
9543 
1—2 
•129 
204 
2—3 
61 
57 
3—4 
27 
49 
4—5 
14 
25 
5—10 
54 
41 
10- 15 
34 
41 
15—20 
20 
8 
20—25 
14 
8 
25—30 
8 
30 -35 
7 
35—40 
40—45 
45—50- 
50—55 
8 
55—60 
14 
60—65 
65—70 
8 
Totals 10,000 
10,000 
We have as before : </'s, 374;./" = 2657, $ 's, 457z^/" = 2595-5, 
3741/;" = 71127-5, 4571-;" = 76280-25. 
