To the tables and diagrams. 



Tab. A and Tab. B contain the vaUies, to four decimals, of the probability integral and of 

 the |>rol)al)ility function in the form ii.sed in this memoii-. These tables are extracted from the 

 »New tables of the probability integral * by W. F. Shejjpard in »Biometrika» Vol. II (1903). 



Tab. C and Tab. D give the values of the functions 'f^ and 'f^, used in the formula for 

 frequency curves of type A. The expression of the frequency is 



o i^^O*) = |-.„ [^,, (cc) + pvf , + P.,T4 + • • •]• 

 Tab. E gives the value of the function '^.(x), used in the formuhe fur frequency curves o 



type B, for integer values of .r. For such values we have 



which function is tabulated in the memoir of Bortkewitsch »Das Gesetz der kleinen Zahlen», from 

 which this table is extracted. 



Fig. 



]. 



Normal curve, ß.j = = 0. 



» 



2. 



Frequency curve Avith positive skewness, ß.^ = -(- 0.1, p., = 0. 





3. 



Frequency curve with positive skewness, ß.j = + 0.2, ß, = 0. 





4. 



Frequency curve with positive excess, ß» = 0, = -j- 0.1. 





5. 



Frequency curve with negative excess, ß^ = 0, ß4 = — 0.1. 



T) 



6. 



Frequency of glands in the leg of female swine (Davjcnpoet). 





7. 



Frequency of stigmatic bands of j^apaver (Charliee). 





8. 



Line A of brown beans (Johannsen). 





9. 



Line G of brown beans (Johannsen). 





10. 



Line 0 of brown beans (Johannsen). 





11. 



Cephalic Index of Swedish recruits (Retzius and Fürst), 





12. 



Typhoid Fever in Lund 1905 (Ryberg). 





13. 



Frequency curves of type B. 





14. 



Frequency of Petals of Ranunculus bulbosus (de Vries). 





15. 



Failing percentage of barley (Johannsen). 





16. 



Frequency of glands of swine treated as a B-curve. 





17. 



Dissection of frequency curves. 



i> 



18. 



Breadth of »forehead» of Naples crabs (Weldon). 



ï 



19. 



Distribution of frequency of ray flowers of 1015 samples of Chrysanthemum segetum 







(Chakliee). 



The ohserved values are in all diagrams indicated by small circles. 



