No. 479] 



VARIATION IN LOTUS 



761 



TABLE 3 



Analytical Constants for Variation in Nelumhium 

 Constant 



Skewness 

 Modal Divergence 

 Standard Deviation 



Mode 



Further, we have the following values for the probable errors of 

 the chief constants concerned in testing whether the distribution 

 sensibly deviates from the normal law. It will be understood 

 that these are the values of the probable errors for the normal 



Probable error of skewness = ± ().()22() 

 " " V/?i = ± 0.0440 

 " " = ± O.OSSO 



" " " modal divergence = ± 0.0^).").') 



We see at once that neither the skewness, the dirt"erenc(^ between 

 the mean and the mode, nor V/^i, are sensibly (liil"erent from what 

 they would be for an absolntely normal distribution. In tlie ease 

 of each of these constants the theoretical value for a normal ('ur\e is 

 zero. The values found from the actual statistics lu tin's reasonably 

 large sample dill'cr from zero by less than the ju-obablc errors. 



sule Nelumhium varies syuuuetrically about tlu^ mean ^wlucli of 

 course coincides with the modal) condition. A half of the capsules 

 bear less than the typical number of seetls. and a half more than the 

 typical number. Turning to the quantity (i-, - which measures tiie 

 degree of flatness at the top of the curve, or, as it has been called 



18.8307 

 2.4675 

 1022.5949 

 0.0009 

 0.0302 



—0.1162 

 —0.2351 

 —0.0029 

 0.0164 

 0.0712 

 4.3394 



24.8033 



