Die Theorie der Volkswirtschaft

An Introduction to the theory of statistics

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Monograph

Identifikator:: 892769734

URN:: urn:nbn:de:zbw-retromon-76808

Document type:: Monograph

Author:: Maslov, Petr http://d-nb.info/gnd/123876184

Title:: Die Theorie der Volkswirtschaft

Place of publication:: Leipzig

Publisher:: Verlag von Arthur Kade

Year of publication:: 1912

Scope:: 1 Online-Ressource (VIII, 293 Seiten)

Collection:: Economics Books

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1 THEORY OF STATISTICS. The difference between median and mean in this case is therefore only about one-hundredth of an inch, the smallness of the difference arising from the approximate symmetry of the distribution. In an absolutely symmetrical distribution it is evident that mean and median must coincide. 16. Graphical interpolation may, if desired, be substituted for arithmetical interpolation. Taking, again, the figures of Example i., the number of districts with pauperism not exceeding 2:25 is 138 ; not exceeding 2:75, 227 ; not exceeding 3:25, 327 ; and not exceeding 3'75, 417. Plot the numbers of districts with pauperism not exceeding each value X to the corresponding Sh = % 400 - 200 3 : 3 3 376 8 JC —300 as aS 3 Ho a 200- - 200 08 § 100~~ —+}- 100 2 3 5 2 Percentage ¢- _ . ropulation wv receipt of relief F1a. 28. —Determination of the median by graphical interpolation. value of X on squared paper, to a good large scale, as in fig. 23, and draw a smooth curve through the points thus obtained, preferably with the aid of one of the “curves,” splines, or flexible curves sold by instrument-makers for the purpose. The point in which the smooth curve so obtained cuts the horizontal line corresponding to a total frequency N/2=316 gives the median. In general the curve is so flat that the value obtained by this graphical method does not differ appreciably from that calculated arithmetically (the arithmetical process assuming that the curve is a straight line between the points on either side of the median); if the curvature is considerable, the graphical value—assuming, of course, careful and accurate draughtsmanship —is to be preferred to the arithmetical value, as it does not y,

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