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An Introduction to the theory of statistics

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Monograph

Identifikator:: 890892032

URN:: urn:nbn:de:zbw-retromon-34137

Document type:: Monograph

Author:: Waha, Raymund de http://d-nb.info/gnd/117560855

Title:: Die Nationalökonomie in Frankreich

Place of publication:: Stuttgart

Publisher:: Verlag von Ferdinand Enke

Year of publication:: 1910

Scope:: 1 Online-Ressource (XIX, 540 Seiten)

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Buch I Die liberale Schule

Collection:: Economics Books

24 THEORY OF STATISTICS. for which the standard error of the median is exactly equal to a/a/n is shown in fig. 53: it will be seen that it is by no means a very striking form of distribution; at a hasty glance it might almost be taken as normal. In the case of distributions of a form more or less similar to that shown, it is evident that we cannot at all safely estimate by eye alone the relative standard error of the median as compared with o/s/7. 6. In the case of a grouped frequency-distribution, if the number of observations is sufficient to make the class-frequencies run fairly smoothly, ¢.e. to enable us to regard the distribution Fic. 53. as nearly that of a very large sample, the standard error of any percentile can be calculated very readily indeed, for we can eliminate o from equation (1). Let f, be the frequency-per- class-interval at the given percentile—simple interpolation will give us the value with quite sufficient accuracy for practical purposes, and if the figures run irregularly they may be smoothed. Let o be the value of the standard-deviation expressed in class- intervals, and let # be the number of observations as before. Then since 7, is the ordinate of the frequency-distribution when drawn with unit standard-deviation and unit area, we must have ag Yo=—Jp Aa,

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