54 Transactions. — Miscellaneous. 



It is not intended in the present investigation to carry 

 these results past age 75, as the available data are insufficient 

 to vFarrant satisfactory results. It must also be borne in 

 mind that the colony dates from 1840, and the above tables 

 terminate at 1891, consequently all results past age 51 can- 

 not relate to native-born New-Zealanders. 



General Explanation of Table E. 



Column Zj : This column shows how many out of 10,000 

 born alive reach each year of age up to 75. Thus, l.^ (males) = 

 8,112, and ^g (females) --8,316, or, out of 10,000 males bora 

 alive, 8,112 reach the age of 25, and out of 10,000 females 

 born alive 8,316 reach the age of 25. 



The two columns 4 for males and females are not strictly 

 comparable, for they do not represent the actual numbers 

 born, but only numbers proportional to them. As is well 

 known, the number of male births exceeds the number of 

 female births. The columns show for each sex how, out of 

 10,000 born, the numbers gradually diminish. 



Column fZx : This colunm shows the deaths each year out 

 of 10,000 born alive. Thus, cl.2g, (males) = 43, and d^ (females) 

 = 45, or 43 males die between the ages 25 and 26, and 45 

 females die between the ages 25 and 26. 



Column 2?x '• This column gives the probability of living a 

 year at each age. Thus, pas (males) = -9947, and j^gj (females) 

 = -9946, or 9,947 males out of 10,000 alive at age 25 survive 

 the year ; and 9,946 out of 10,000 females alive at age 25 reach 

 age 26. 



Column q,. : This column gives the probability of dying in 

 a year at each age. Thus, q^.^ (males) = -0053, and q^^ (females) 

 = -0054, or 53 males out of 10,000 alive at age 25 die in the 

 year ; and 54 out of the same number of females alive at 25 

 die in the year. 



Plates III. and IV. show the results of the life tables graphi- 

 cally. From the column l^ it will be observed that the males 

 are reduced to half the number born between the ages 63 and 

 64, while it is not till between the ages 66 and 67 that the 

 females are similarly reduced. 



The whole of the calculation was done in duplicate, and 

 every care has been exercised to insure accuracy. Some of 

 the results have been checked graphically, results true to four 

 significant figures being easily obtained by this process. 



In conclusion, I have to express my thanks to my friend, 

 Mr. Morris Fox, A. I. A., Actuary to the Government Life 

 Insurance Department, for his ever-ready and valuable assist- 

 ance in the preparation of this paper. 



