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 III. Theory of sampling

Collection:: Economics Books

VIL—AVERAGES. 125 24. The use of the geometric mean finds its simplest application in estimating the numbers of a population midway between two epochs (say two census years) at which the population is known. If nothing is known concerning the increase of the population save that the numbers recorded at the first census were P, and at the second census n years later P,, the most reasonable assump- an is gil 2% F719] 1901 300 ‘1-300 Qunbdertand 2 — 250 Dorset Dag —- 200 150 - = 150 Cumberland Dorset - Hereford 00 - —100 Hereford os iC 2 o. eS O . ‘ : I ‘ JECT Lo oi =r $i, S81 el. qt. 81 91. i904 Census year. F16. 24.— Showing the Populations of certain rural counties of England for each Census year from 1801 to 1901. tion to make is that the percentage increase in each year has been the same, so that the populations in successive years form a geometric series, Pr being the population a year after the first census, £;r* two years after the first census, and so on, and P, =P. 7” . (15) The population midway between the two censuses is therefore Pop=Pyr"?=(P,.P,)} 7m 5 o¢ 50 Sr (lo

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