The Groivth of the Body in Man. 



171 



decimals after regrouping the individuals in a small number of groups to 

 diminish the labour of calculation. 



Table XI exhibits the result obtained for males, Group 1 representing the 

 30 undergraduates measured by myself, and the remaining groups the boys 

 in Table II. 



The " best n " for males was found to have the value 0*329, with a value 

 for k of 23-45, giving the formula I = 23-45W ' 329 . 



Table XI. — Males re-grouped — Data and Calculations. 



Group. 



JNo. in 

 group. 



Average 

 body- 

 weight, 

 W. 



Average 

 body-length 

 (stem-length), 

 I. 



Length 

 constant 



calculated. 



& = W"//. 



n = -329. 



Body-length 

 calculated. 

 1 = kW". 

 n = -329. 

 £ = 23 -45. 



Difference 

 between 

 body-length 

 calculated 



and 

 observed. 







grm. 



mm. 





mm. 



per cent. 



1 



30 



66,540 



905-0 



23 -43 



905 -5 



06 



2 



23 



43,100 



777 -1 



23 -21 



785 -0 



1 -01 



3 



33 



36,490 



743 5 



23 -46 



743 -2 



0-04 



4 



44 



32,300 



723 -3 



23 -75 



713 -9 



1 -32 



5 



29 



25,280 



668 -4 



23 80 



658-6 



1 -49 



6 



9 



16,860 



574 -4 



23 -36 



576 -5 



-36 



7 



9 



9,984 



479 -2 



23 -16 



485 -2 



1 24 







Average, taking into acco 

 Mean deviation (for grou 



23 -45 

 lint number of 

 P s ) 



individuals in 



0-79 



80 



1 -05 



Similarly, in Table XII the " best n " for females was found to have the 

 value 0-323, with a value for k of 24-80, giving the formula I = 24-80W ' 323 . 

 It is possible, however, that for the ultimate accurate determination of n to 

 three places of decimals, arid of the corresponding- values of the length 

 constant, much more extensive series of data than those dealt with here will 

 be required. 



But whether n be taken to two places of decimals or to three, it will be 

 seen on inspection that the curve represented by the formula for males and 

 the curve represented by the formula for females have a point of inter- 

 section. At this point, and at this point alone, males and females of equal 

 stem-length are of equal weight. The position of the point in question may 

 be ascertained by equating the expressions 2345W ' 329 and 24-80W ' 323 , or the 

 expressions 23-23W ' 33 and 25-60W ' 32 . In the former case it is found to 

 correspond to a body-weight of 11,660 grm. and a stem-length of 510 - 5 mm. 



