314 



DELL SYSTEM TECHNICAL JOURNAL 



and observation furnished by the new data given herein. According 

 to theory, the modal and mean values of 5 for samples of size 4 ex- 

 pressed in units of a should be .707 and .798 respecti\ely. The ex- 

 perimental results are .717 and .801. 



How Much Larger Are the Probable and 99.73% Errors of 

 AN Average Than the Customarily Accepted Values? 



The difference between the error of an average and its customarily 

 accepted value increases as the number of observations n (or size of 



20 40 60 80 

 SIZE OP SAMPLE 



100 120 



Fig. 6- 



-Errors of averages of samples of size n 



I -99. 73002 Tf error 



II -95.44998% error 

 111-68.26894% error 

 IV -50.00000% error 



2 = the ratio of the error of the average to the observed standard deviation 



sample) decreases. This fact is illustrated in Fig. 5. This figure 

 shows the ratios of the errors to their customarily accepted values 

 plotted for values of n from 4 to 30. 



