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

Usage license:: Get license information via the feedback formular.

Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part III. Theory of sampling

Collection:: Economics Books

: THEORY OF STATISTICS. TABLE showing the Greater Fraction of the Area of a Normal Curve to One Side of an Ordinate of Abscissa ja. (For references to more extended tables, see list on pp. 857-8.) Greater Greater zlo. Fraction of r/o. Traction of Arca. Area. 0 50000 2-1 "98214 0-1 53983 2-2 ‘98610 0-2 57926 | 2:3 98928 0-3 61791 24 99180 0-4 ‘65542 245 *99379 95 69146 So 99534 06 *72575 A. 99653 0-7 "75804 ew 3 99744 0-8 "78814 29 99813 09 '81594 30 99865 1-0 "84134 Ee] 99903 1:1 86433 2 99931 1:2 *88493 “3 99952 1:3 90320 ot4 99966 14 91924 Lo) 99977 15. ‘93319 2:5 | 99984 1:6 94520 57 99989 17 95543 38 199993 1-8 "96407 39 299995 114) ‘97128 4:0 £99997 2:0 "97725 4-1 99998 17. If we try to determine the quartile deviation in terms of the standard-deviation from the table, we see that it lies between 0:6 and 070. Interpolating, it is given approximately by 2425 | {0640 1559 po=0 6750. More exact interpolation gives the value 0°674489750. This result, again, is the foundation of the rough rule that the semi-inter- quartile range is usually some 2/3 of the standard-deviation : it is strictly true for the normal curve only. It may be noted that the constant 067448975 . . . . can be determined by processes of interpolation only, and cannot be expressed exactly, like the mean deviation, in terms of any other known constant, such as . It has become customary to use 0:674 . . . . times the standard error rather than the standard error itself as a measure of the 310

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