10 



On the Probability of Error 



[January, 







Table I. 









True Weights in vacuo. 





f — 



Deter Weight of 

 V e y Thallium 

 mination. .„,„„ 



Weight of 

 Nitrate of 

 Thallium 



Weight of 

 Glass. 



Calculated 



Atomic 



Weight from 





td.tt.Cll. 



+ Glass. 





these Data. 





Grs. 



Grs. 



Grs. 



Grs. 



A. 



497-972995 



II2I-851852 



472*5573I9 



203*666 



B. 



293*I93507 



1111-387014 



729*082713 



203*628 



C. 



288*562777 



971*214142 



594-949719 



203*632 



D. 



324-963740 



1142*569408 



718*849078 



203*649 



*E. 



183*790232 



IOO5-366796 



766-133831 



203*642 



F. 



190*842532 



997-334615 



748*491271 



203*636 



G. 



195*544324 



1022-176679 



767-203451 



203*639 



H. 



201-856345 



1013-480135 



750-332401 



203*650 



I. 



295*683523 



1153*947672 



768-40362I 



203*644 



K. 



299*203036 



1159*870052 



769*734201 



203*638 







Table II. 









A. 



203*666 



+ 0*024 







B. 



203*628 



— 0*014 





s 



C. 



203-632 



-O'OIO 







D. 



203-649 



+ 0*007 







E. 



203-642 



+ 0'000 







F. 



203-636 



— 0*006 







G. 



203-639 



— 0*003 







H. 



203-650 



+ o-oo8 







I. 



203*644 



+ 0-002 







K. 



203-638 



— 0-004 





The sum of the squares of the differences is — 









0*000576 











0*000064 











0*000049 











0*000004 











0*000000 











0*000009 











0*000016 











0*000036 











0*000100 











0*000196 







He 2 = 0*001050 

 Therefore zZe 2 =0*0021 ; and the weight (w) of a is- 



100 



= 47619. 



0*0021 



Fully illustrated in the Paper. 



