APPENDIX. 



25 



This frequency curve is not a regular curve, though its grosser 

 irregularities have bee/i removed and its essential characteristics 

 more clearly revealed. The irregularities left are best revealed by a 

 comparison with the true frequency curve, y = e-x 2 , shown in figure 

 5. The proportions of the true curve are obtained by giving it the 

 same height and the same modulus as the curve under discussion. 



\ 



- 



7 



.306308 .310 .512 .SW- 



JIB .SZO .5ZZ .32-4- .92fe .928 .330 .332 .354 33d .30 .3+0 



aPJfClF'IC Hfi-AT 

 FIG. 5. Empirical and theoretical frequency curves. 



Its apex is placed on the ordinate of the average of the observed 

 results. The comparison shows two ways in which the curves differ; 

 (1) the empirical curve is too broad below; and (2) its crest is bent 

 to the right toward the higher values of the specific heat. This 

 inclination is clearly shown by the course of the median line of the 

 empirical curve and its deviation from the median line of the true or 



