124 THE AMERICAN NATURALIST. [VoL. XXXVI. 
TABLE E. — CONSTANTS OF Bracts oF Four PICKINGS OF 
ASTER PRENANTHOIDES Muur. 







117 CAPITULA, 143 CAPITULA, | 139 CAPITULA, 176 CAPITULA, 
COLLECTED COLLECTED COLLECTED COLLECTED 
SEPTEMBER 27. SEPTEMBER 30. OCTOBER 4. OCTOBER 8. 
Min . RS 47.410256 44. 342657 43.834532 41.92045 
40-41 44-45 33-94 
Mode . . 3 49- 50 , 44-45 50-51 41-42 
48-51 49-50 
K 1h o2 9 3 4.350646 4.256345 4.308211 ' 3.855552 
DÀ E 5.524237 5.152370 5.275976 | 4.889626 
Ek E. hes D. . .[ x 3.726098 + 3.475273 | + 3-558646 | + 3.298052 
FEM |. | + .344540 + .290617 | + .301840 | + .248600 
PRA. -4 243626 + .205497 | + .213433 | + .175786 
CV | | 11.664053 
al Steet. 11.619444 | 12.036119 
| 

2. Rays. The frequency polygon for rays from the first 
collection (Fig. 25) shows a strong mode on 32-35 and a lesser 
mode on 26-27. The mean of this collection was 30.769230. 
In the second collection (Fig. 26) the principal mode had 
fallen to 30-33, filling up the sinus and forming a monomodal 
curve. The mean had also fallen to 28.706293. In the third- 
collection the rays again broke up into a multimodal condition, 
as shown in Fig. 27. The modes of this curve are on 24-25, 
28-29, and 32-33, and the mean on 28.251798. In the fourth 
collection the rays again exhibited a strongly monomodal con- 
dition (Fig. 28), with the mode on 26-27, while the mean had 
fallen to 26.335227. 
3. Disk Florets. In Fig. 29 is shown the multimodal fre- 
quency polygon for the disk florets of the first collection, with 
modes on 56-57 and 60-61, and the mean on 56.427350. In 
the second collection (Fig. 30) modes occurred on 45-46 and 
51-52, and the mean had fallen to 51.713286. In Fig. 31 is 
represented the variation of the disk florets of the third collec- 
tion. The curve is monomodal and nearly normal, the mode 
occurring on 49-50 and the mean on 49.158273. The disk 
curve of the fourth collection (Fig. 32) is also strongly mono- 
modal and nearly normal, but the mode has fallen to 45-46 
and the mean to 45.778409. 
