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An Introduction to the theory of statistics

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Contents: An Introduction to the theory of statistics

Monograph

Identifikator:
1753937256
URN:
urn:nbn:de:zbw-retromon-129408
Document type:
Monograph
Author:
Lösener, Bernhard http://d-nb.info/gnd/122898427
Title:
Grundriß des deutschen Zollrechts
Place of publication:
Hamburg, Berlin, Leipzig
Publisher:
Hermes
Year of publication:
1927
Scope:
153 Seiten
Digitisation:
2021
Collection:
Economics Books
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Chapter

Document type:
Monograph
Structure type:
Chapter
Title:
Dritter Teil. Das Zollverfahren
Collection:
Economics Books

Contents

Table of contents

  • An Introduction to the theory of statistics
  • Title page
  • Part I. The theory of atributes
  • Part II. The theory of variables
  • Part III. Theory of sampling
  • Index

Full text

123 THEORY OF STATISTICS. 
distribution, is 2:99. As further illustrations of the closeness 
with which the relation may be expected to hold in different cases, 
we give below the results for the distributions of pauperism in 
the unions of England and Wales in the years 1850, 1860, 1870, 
1881, and 1891 (the last being the illustration taken above), 
and also the results for the distribution of barometer heights at 
Southampton (Table XI., Chap. VI. § 14), and similar distribu- 
tions at four other stations. 
Comparison of the Approximate and True Modes in the Case of Ive Dis- 
tributions of Pauperism (Percentages of the Population in receipt of 
Relief) in the Unions of England and Wales. (Yule, Jour. Roy. Stat. 
Soc., vol. lix., 1896.) 
Year. Mean. Median. Approximate guy, Mode, 
Mode. 
1850 6508 6°261 5767 5-815 
1860 5:195 5000 4610 4:657 
1870 5451 5:380 5238 | 5-038 
1881 | 3676 3-523 3-217 3-240 
1891 3289 3195 3-007 2987 
Comparison of the Approximate and True Modes in the Case of Five Dis- 
tributions of the Height of the Barometer for Daily Observations at the 
Stations named. (Distributions given by Karl Pearson and Alice Lee, 
Phil. Trans., A, vol. cxe. (1897), p. 423.) 
Station. Mean. Median.  2P prowiinate True Mode. 
Southampton . 29-981 30°000 30°038 30089 
Londonderry . 29891 29915 29963 29960 
Carmarthen . 29:952 29974 30018 30-013 
Glasgow . : 29-886 29906 29-946 29967 
Dundee . : 29-870 29°890 29930 29-951 
It will be seen that in the case of the pauperism figures the 
approximate mode only diverges markedly from the true value 
in the year 1870, a year in which the frequency-distribution was 
very irregular. In all the other years the difference between the 
true and approximate values of the mode is hardly greater than 
the alteration that might be caused in the true mode itself by 
slight variations in the method of fitting the curve to the actual 
distribution. Similar remarks apply to the second series of illus- 
trations ; the true and approximate values are extremely close, 
except in the case of Dundee and Glasgow, where the divergence 
reaches two-hundredths of an inch. 
21. Summing up the preceding paragraphs, we may say that 
the mean is the form of average to use for all general purposes; 
6 
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