An Introduction to the theory of statistics

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Monograph

Identifikator:: 1751730271

URN:: urn:nbn:de:zbw-retromon-127610

Document type:: Monograph

Author:: Yule, George Udny http://d-nb.info/gnd/12910504X

Title:: An Introduction to the theory of statistics

Edition:: 8. ed. rev

Place of publication:: London

Publisher:: Griffin

Year of publication:: 1927

Scope:: XV, 422 S; Ill., Diagr

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

VIII.—MEASURES OF DISPERSION, ETC. 151 above it and 50 per cent. below, is the median: the two quartiles lie between the second and third and the seventh and eighth deciles respectively. 28. The deciles, like the median and quartiles, may be determined either by arithmetical or by graphical interpolation, excluding the cases in which, like the former constants, they become indeterminate (¢f. § 24). It is hardly necessary to give an illustration of the former process, as the method is precisely the same as for median and quartiles (Chap. VII. § 15, and above, § 22). Fig. 26 shows, of course on a very much reduced scale, the ; SE = \ 14 a) 3 Percentage of the population in receipt of relief FiG. 26.—Curve showing the number of Districts of England and Wales in which the Pauperism on 1st January 1891 did not exceed any given per- centage of the population (same data as Fig. 10, p. 92): graphical determination of Deciles. curve used for obtaining the deciles by the graphical method in the case of the distribution of pauperism (Example ii. above). The figures of the original table are added up step by step from the top, so as to give the total frequency not exceeding the upper limit of each class-interval, and ordinates are then erected to a horizontal base to represent on some scale these integrated frequencies: a smooth curve is then drawn through the tops of the ordinates so obtained. This curve, as will be seen from the figure, rises slowly at first when the frequencies are small, then more rapidly as they increase, and finally turns over again and becomes quite flat as the frequencies tail off to zero. The deciles

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