1910] NAKANO—FLORETS OF ASTER 373 
As shown later, the class range in an individual is very restricted, 
and falls perhaps on one part of the curve of the racial variation. 
For this reason a more reliable result can be obtained by taking into 
account the flowers from an equal number of individuals, rather 
than an equal number of flowers from an unequal number of individ- 
uals. Hence I have counted in all cases all the flowers in ninety 
plants. The calculation has been made wholly according to DAVEN- 
PORT (15), and the results obtained are as follows: 
Variations of rays 
The first collection was made August 7, 1909, when the flowers 
had first begun to bloom, and the following data were obtained: 
Number Range | Mode A dees Cc 
1392 10-31 17 17.921 2.89200 15.799 
20.051 0.032 
The curve (jig. r) of this variation gives the positive skewness 
(PEARSON 9, p. 408) 0.32 5, the mean value being very near 18. On 
the mode 17 fall 17.10 per cent and on 18 fall 16.38 per cent of all 
variates. 
The second collection was made August 11, with the following 
results: 
Number Range Mode A c c 
eee 
TQ04 10-26 17 17.606 2.618 14.872 
+0.041 +0.029 
The percentage of variates occurring on mode 17 became a little 
less (16.55 per cent). This is due to the fact that the ordinates 
of the two classes 18 and 16 come nearly to the same height. The 
positive skewness became 0.231; the curve lessened the degree of 
asymmetry on account of the diminution in number of right-hand 
abscissae (fig. 2). 
The third collection was made August 19, with the following results: 
Number Range Mode A o c 
2059 10-28 17 17-339 2.521% 14.542 
0.031 0.022 : 
aarp 
