442 



J. Kleiber on " Random Scattering " 



taining a given number of grains in these experiments, 

 putting in our formula (1) m = 64, n = total number of grains, 

 we find, on the contrary, deductively, a distribution very 

 similar to that obtained by Prof. Forbes in his experiments. 



The following diagram represents the results of Prof 

 Forbes's first experiment. 



Experiment I. 



4 



3 



ale 



2 



4 



2 



1 



4 



4 



4j3 



1 



4 



3 



1 



2 



6 



2 



3 



2 



3 



5 



3 



3 







4 



3 



4 



7 



1 



3 





 3 



4 



4 



4 







3 



4 



4 



5 



2 



3 3 



2 



5 



5 



2 

 1 



3 



3 ! 



3 



5 



1 



1 



3 



3 



2 



1 



2 







2 



In the following table I give the comparisons between the 

 theoretical and observed numbers of squares containing given 

 numbers of points. 



Number of 







Number of squares. 



grains in ( A , 



a square. Observed. Calculated. 



.... 5 3-6 



1 









8 10-4 



2 









. 11 15-1 



3 









. 19 14-4 



4 









13 10-3 



5 









. 5 5-8 



6 









. 2 2-8 



7 









1 1-1 



Above 



. 







0-4 



The observed and calculated values agree sufficiently. A 

 still more close agreement is presented by Experiment II. 



C4 



