1922.] 



P. C. Mahai,anobis : Analysis of Stature. 



37 



Mean = 1656-2938 mm. 

 S.D. = 67-3845 mm. 



Table 2. 



Unit = 20 mm. 

 i/«r = -296802. 



Stature. 



Observed 

 Value 



Theoretical 

 Value 



(m' — m) 



(m'—m) 2 





m'. 



m. 





m 



Beyond 1475 



3 



i-io 22 



1-897 



3-265 



1475— 1495 



1 



1*37 34 



o-373 



•101 



— 1515 



4 



2-66 11 



1-338 



•673 



—1535 



2 



472 29 



2-722 



1-569 



— 1555 



4 



7-68 67 



3-686 



1-768 



— 1575 



10 



u-45 71 



i'457 



•185 



—1595 



12 



15-64 81 



3-684 



•850 



— 1615 



25 



19-58 25 



5-4i8 



1-499 



—1635 



32 



22-45 35 



9-546 



4-058 



— 1655 



21 



23-58 87 



2-588 



•284 



— 1675 



17 



22-71 04 



5710 



1-436 



— 1695 



21-5 



20-23 05 



1*269 



•796 



— 1715 



18-5 



16-18 89 



2-311 



•330 



—1735 



10 



11-98 74 



1-987 



•329 



—1755 



5 



8-13 40 



3*134 



1-209 



—1775 



10 



6-20 48 



3795 



2-321 



— 1795 



2 



173 25 



0-267 



•041 



— 1815 







1-50 37 



i'504 



1-504 



Beyond 1825 



2 



I "22 91 



0770 



•482 





200 



200*19 75 



#2=22-699 



The above table gives observed and theoretical values for 20 

 mm. grouping. These have been plotted both in histogram and 

 in mid-ordinate continuous curve form. (See Plate I). 



The equation to the theoretical Gaussian is (in 20 mm. work- 

 ing units) : — 



^ £0 ^ (1656-25 -Xf } 

 Y = 23-682 x exp. 1 - - — ±- — L J 



( 36-3259 > 



where X = stature in mm. 



Y = frequency. 

 Mean = 16 56*29 38 mm. 

 S.D.= 67-38 49 8 mm. 

 Unit of grouping = 20 mm. 



In order to avoid fractions of individuals in theoretical values 

 we stop at 1475 mm. and 1825 mm * 



with 



n =19 



& — 



22*699 



From Table XII, p. 26 we find 



for 



for 



Thus 



X* 2 = 22 



P=-23 19 85 





X* = 23 



•19 05 90 

 •04 13 95 





x a = 22-699 



P = -23 19 85- 



P = *2030. 



•699 x (-04 13 95) 



