STUDIES IN STATISTICAL REPRESENTATION. 105 



The ordinates to the curve denote the number per diem 

 per million committing suicide in the Commonwealth of 

 Australia. 



Curve 2 — Suicides. 



(a) The curve shewn by firm lines denotes the solution in terms 



of sine and cosine x only. 



(b) The curve in dotted lines denotes similarly the solution in 



terms of sine and cosine 2x as well as x. and shews the 

 effect of the introduction of this second series. This is 

 the same as the dotted line in curve 1, (c). The ordin- 

 ates denote the number per diem per million committing 

 suicide in the Commonwealth of Australia, but are plotted 

 to a larger scale than in curve 1. 



(c) The curve in broken lines with dots is the suicide curve, as 



empirically deduced by formula (71) § 16 hereinafter, 

 from the temperature curve 3a. 

 Curve 3 — Temperature. 



(a) Tne curve in firm lines denotes the solution in terms of sine 



and cosine x only. 



(b) The curve in dotted lines similarly denotes the solution in 



terms also of sine and cosine 2x, as well as x. 



Curve 4 — Temperature. 



(a) The monthly means shewn by firm rectangular lines are 



obtained from the monthly means of the maximum and 

 minimum temperatures of the capital cities of the States 

 taken over a long series of years, weighted according to 

 the population of the States. It may be considered as 

 the curve of temperature affecting the population of the 

 Commonwealth as a whole. 



(b) The firm line shews the complete curve in sin x to sin Qx 



giving the group results. 



(c) The dotted line shews the curve given by the terms in sine 



and cosine of x and 2x, only. 



15. Periodicity affected by movable feasts.— The perio- 

 dicity of marriage and of migration etc., is affected by the 



