La question d'Orient depuis ses origines jusqu' à nos jours

An Introduction to the theory of statistics

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Monograph

Identifikator:: 89315170X

URN:: urn:nbn:de:zbw-retromon-76526

Document type:: Monograph

Author:: Driault, Édouard http://d-nb.info/gnd/116222948

Title:: La question d'Orient depuis ses origines jusqu' à nos jours

Edition:: 6. éd. mise au courant des derniers événements

Place of publication:: Paris

Publisher:: Librairie Félix Alcan

Year of publication:: 1914

Scope:: 1 Online-Ressource (XV, 411 Seiten)

Collection:: Economics Books

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XV.—BINOMIAL DISTRIBUTION AND NORMAL CURVE. 303 Y, produces a proportionate alteration in the area of the curve, e.g. doubling 7, doubles every ordinate 7, and therefore doubles the area: (2) any alteration in o produces a proportionate alteration in the area, for the values of y, are the same for the same values of z/o, and therefore doubling o doubles the distance of every ordinate from the mean, and consequently doubles the area. The area of the curve, or the number of observations represented, is therefore proportional to 7,0, or we must have N=axy,o where a is a numerical constant. The value of a may be found approximately by taking 7, and o both equal to unity, calculating the values of the ordinates y, for equidistant values of z, and taking the area, or number of observations X, as given by the sum of the ordinates multiplied by the interval. 11. The table below gives the values of y for values of x proceeding by fifths of a unit ; the values are, of course, the same for positive and negative values of z. For the whole curve the sum of the ordinates will be found to be 1253318, the interval being 0'2 units; the area is therefore, approximately, 2:50664, SZ Ordinates of the Curve y=e¢ 2. (For references to more extended lables, see list on pp. 357-8.) Log v. = Log v. 0 100000 0 26 "03405 253209 0-2 “98020 1-99131 28 ‘01984 229757 04 92312 126526 30 ‘01111 204567 hy ‘83527 192183 32 *00598 377641 72615 1-86103 "4 *00309 348978 60653 178285 3° ‘00153 318577 ; "48675 168731 ood ‘00073 4-86439 . 87531 157439 40 *00034 452564 19 "27804 144410 4-2 *00015 4°16952 193 "19790 1:20644 44 ‘00006 579603 20 13534 113141 4-6 *00003 540516 2-2 08892 2794901 48 100001 699693 2:4 ‘05614 274923 50 00000 657132 and this is the approximate value of @. The value is more than sufficiently accurate for practical purposes, for the exact value is ~/2r=2506627..... The proof of this value cannot be given here, but it may be deduced from an important approximate expression for the factorials of large numbers, due to James a in Zz. Y. ,

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