STUDIES IN STATISTICAL KEPRESENTATION. 81 



under gives the correction in days for each month of the 

 year according as the results are : — 



(i) For the ordinary year, month = 30*4167 days, 

 (ii) For the leap year, month = 30*5000 days. 

 (iii) For the decade of two leap years, month = 30*4333 days, 

 (iv) For the decade of three leap years, month = 30*4417 „ 



(v) One twelfth of the tropical year (365*2422) month = 

 30*4368 days. 



The equal or uniform month in each case represents 30°, 

 or in radians |^, or 0*52359877. The end of the uniform 

 month of January is within the actual month itself. In 

 every other case the end of the uniform month, when not 

 exactly at the end of the actual month, is in the actual 

 month following. Attention to this will obviate the need 

 for attending to the signs of the corrections. 



Differences in 



days between ends of 



uniform and actual 



months. 



Type of 

 Year 



Jan. 



Feb. 



March 



April 



May 



June 



(i) 



0-583 



1-833 



1-250 



1-667 



1-083 



1-500 



(ia) 



Tz 



22. 



1 2 



1 2 



ft 



H 



1 8 

 1 2 



(ii) 



0-500 



1000 



0-500 



1-000 



0-500 



1-000 



(iii) 



0-567 



1-667 



1-100 



1-533 



0-967 



1-400 



(far) 



0-558 



1-583 



1-025 



1-467 



0-908 



1-350 



(v) may be regarded as 



equivalent to (iii). 







Type of 

 Year. 



July 



August 



Sept. 



Oct. 



Nov. 



Dec. 



(i) 



0-917 



0-333 



0-750 



0-167 



0-583 



o-ooo 



(ia) 



« 



4 

 1 2" 



9 

 1 2 



2 

 I 2 



1 2 







(ii) 



0-500 



0-000 



0-500 



0-000 



0-500 



0-000 



(iii) 



0-833 



0-267 



0-700 



0133 



0-567 



000 



(iv) 



0-792 



0-233 



0-675 



0-117 



0-558 



0-000 



Where a rough graph has been drawn shewing the instan- 

 taneous values corresponding to and giving the group values, 

 the proper instantaneous values corresponding to the end 

 or beginnings of the months will be available. Inasmuch 

 however, as the correction is very small, it will, in general, 



F— July 5, 1911. 



