1922.] P. C. Mahai^anobis : Analysis of Stature. 53 



Hence y\ and y? are roots of 



y' 2 + 28-13 OI7 + 0-I8 78 = 



We get 



















7i = 



— 0*00 



665 









7s = 



— 28-12 



345 



We obtain, 



fin 



ally 



, for the first 



component, 









*i f - 



1-94 



08 23 









<r, = 



i"39 



3i 









»1 = 



28-12 



2! .-00 



= 200*0473 = 200, to the nearest integer, 

 and m v — 1655-91 75 mm. 



The second component is given by 



<t 2 2 = -285-64 89 43 

 n % = - 0-04 73 

 m 2 = 250^08 mm. 



The second component has o-' 2 negative, and is thus imaginary . 

 Hence dissection into two real components is impossible in this case. 

 The first component, which is the only real component, gives 

 practically the whole of the given sample. The total frequency 

 of the second component is only — '04 73 and is quite negligible. 



Case 2. 



p%= — O'lO 02 



■ 



We find p = + i'2i 09 58 36 



and . Pi — — i2'o8 54 13 



Thus t y' 2 + 12*08 54 137- -io 02 = 

 and 7i= + 'oo 82 85 



y 2 = — I2'I0 19 90 



We get for the first component, 



n x — 199-86 31 



oy 2 = 1-74 10 46 



o-j = 1-31 94 87 



w, =1656*66 42 mm. 



The second component is 



n 2 = + 0-13 69 



a 2 = —29*03 96 23 71 



m 2 = 1051*98 mm. 



We again find that the first curve gives practically the whole 

 of the given sample, while the second is imaginary. 





