LIII — LIV] Introduction Isxxi 



Hence log 2/™= 2-371,6644 



+ 32-8023 (- -004,1038) 



+ 1-984,5521 X -138,4195 

 2-511,7510. 

 Hence 2/„„ = 324-901. 



Table LIV (pp. 126—142) 



Tables of the G (r, z^) 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 



G 



{r,v)= rsm'-ee'^dd (Ixxxiii). 



Jo 



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-^'"'G{r,v) (Ixxxiv), 



j^(r,.) = ^'"^;-^/^V (r,.) (Ixxxv), 



vr— 1 



G{r,v) = e^'"'F{r,v) (Ixxxvi), 



G{r,v) = ^- ^l$L^H{r,v) (Ixxxvii), 



vr — 1 



^^''' "^ = (cos,/>)-+^ ^^'■' ") ('^^^^^>' 



where tan </> = vjr. 



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



- V tan""' — 



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



Af = 2/„ae"4'"' [" siiVde'^dd, 

 Jo 



N 1 ... 



y^ = ^F(^) (""'>• 



B. I 



