LIU— LIV] Introduction lxxxi 



Hence \ gy m0 = 2-371,6644 



+ 32-8023 (- -004,1038) 



+ 1-984,5521 x -138,4195 

 2-511,7510. 

 Hence y mo = 324901. 



Table LIV (pp. 126—142) 



Tables of the G (r, v) Integrals. (Calculated by Alice Lee, D.Sc. Transactions 

 British Association Report, Dover, 1899, pp. 65 — 120.) 



The purpose of this table is to obtain the value of the integral 



Q 



(r,v)=j sm r 0e*°dd (lxxxiii). 



In order to obtain small differences in tabulated values two additional 

 functions F(r, v) and H (r, v) are introduced. 



The relations between the three functions are then expressed by the following 

 series of equations : 



F{r,v) = e-^Q(r,v) (Ixxxiv), 



F{r,v) = e * { *^ +1 H{r,v) (hxxv), 



G(r,v) = e i '"F(r,v) (lxxxvi), 



e"* +} " r (cos6) r+1 



G(r,v) = ,—- Y S{r,v) (lxxxvii), 



vr — 1 ' 



g(r,y) " \ <£l£* r < r - w '> < lxxxviii )' 



H {r ' V)= (cos </>)-+' G{r ' ») -(Ixxxix), 



where tan <f> = v/r. 



Pearson's Type IV Skew Frequency Curve is of the form 



- v tan -1 - 



y ~ y, {i + (?yi* (r+2) ' (xc) ' 



Hence if N be its total area, i.e. the entire population under discussion, 



^ = y ae _i '" r [" sin r 6e^d0, 

 Jo 



/o 

 )Y 1 

 a F (r, v) 

 B. , 



*— r-frfcrrs (™)- 



