480 



THE AMERICAN NATURALIST [Vol. XLVI 



quencies in each column of the subject seriations by the 

 opposed entries in the relative (number and summation) 

 columns. Again, the result is the desired table or one 

 from which it may be derived. 



Illustrations will make the methods most clear. Table 

 I shows the frequencies for the different grades of radial 

 asymmetry 7 of quinquilocular fruits gathered from 34 

 individuals of Hibiscus Syriacus in the Missouri Botan- 

 ical Garden in the fall of 1907. Table II gives the seria- 

 tions for the locular composition 8 of the same fruits. 

 The Hast two columns of Table I and the next to the last 

 two of Table II give the first two summations for each 

 individual. 9 



T The radial asymmetry is the standard deviation of the number of ovules 



.894427 

 .979795 

 1.019803 



Cf. Biometrika, Vol. 7, pp. 483^87, 1910. 

 olumns of Table II give the summations of Table I 



are to be formed with asymmetry as the subject 

 jolumn may be added to Table I. Here it is omitted 



