Miscellanea 
419 
§ 2. Example I. Distribution of 25,000 Deals at WJdst according to the 
Number of Trmn/ps held by the First Hand. 
TABLE I. 
Number of trumps 
0 
1 
2 
5 
4 
5 
6 
7 
8 
Total 
Frequency 
215 
1724 
5262 
7440 
6371 
2950 
852 
166 
20 
25000 
Relative frequency 
■00860 
•06896 
•21048 
■29760* 
•25484 
■11800 
■03408 
•00664 
•00080 
1-00000 
We quote from the Phil. Mag. paper previously referred to the following values: Mean at 
3-24944 trumps, moments about the mean;:/, = 1-061 30,^^3 = ^39094, also /^i = -03333, ft, = 2-93469. 
These values lead to the Type I curve 
y = 7596-005 1 + 
X 
12^76682 
6-52180; 
with origin at the mode (= 3-12682 trumps) represented by the continuous line in Fig. 1. 
Trumps held hy First Hand 
Fig. 1. © © © Distribution of 25,000 deals at Whist according to the number of Trumps held 
by the First Hand according to theory. 
Continuous Line : Type I Frequency Curve 
/ ^ \ 16.2192-/ / « 
, = 7596-005 (1+^-:^) (l-^^^. 
* -29776 in Prof. Edgeworth's paper is clearly a misprint. 
