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

RA CITEPS VII. —AVERAGES. S147 * oo > differ : (1) they may differ markedly in position, z.e. ir the Palubso th ek of the variable round which they centre, as in fig. 2. 4, or (2) they may centre round the same value, but differ in t Hinge of variation or dispersion, as it is termed, as in fig. 20, B. ours io) # the distributions may, differ in both characters at once, as in ¥&20,'"'" C, but the two properties may be considered independently. Measures of the first character, position, are generally known as averages ; measures of the second are termed measures of disper- sion. In addition to these two principal and fundamental characters, we may also take a third of some interest but of much less importance, viz. the degree of asymmetry of the distribution. ee ee 2 ee L.. = 12 Fie. 20. The present chapter deals only with averages; measures of dispersion are considered in Chapter VIII. and measures of asymmetry are also briefly discussed at the end of that chapter. 3. In whatever way an average is defined, it may be as well to note, it is merely a certain value of the variable, and is therefore necessarily of the same dimensions as the variable: z.e. if the variable be a length, its average is a length ; if the variable be a percentage, its average is a percentage, and so on. But there are several different ways of approximately defining the position of a frequency-distribution, that is, there are several different forms of average, and the question therefore arises, By what criteria are we to judge the relative merits of different forms? What are, in fact. the desirable properties for an average to possess? a B Cc

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