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 II. The theory of variables

Collection:: Economics Books

VI.—THE FREQUENCY-DISTRIBUTION, Fas distribution of deaf-mutism amongst the offspring of parents one of whom at least was a deaf mute. In general less than one-fifth of the children are deaf-mutes : at the other end of the range the cases in which over 80 per cent. of the children are deaf-mutes are nearly three times as many as those in which the percentage lies between 60 and 80. The numbers are, however, too small to form a very satisfactory illustration. REFERENCES. (1) Pearson, KARL, “Skew Variation in Homogeneous Material,” Phil. Trans. Roy. Soc., Series A, vol. clxxxvi. (1895), pp. 343-414. (2) PEARsoN, KARL, ‘“Cloudiness: Note on a Novel Case of Frequency,” Proc. Roy. Soe., vol. Ixii, (1897), p. 287. (3) PEARSON, KARL, ‘Supplement to a Memoir on Skew Variation,” Phil. Trans. Roy. Soc., Series A, vol. exevii. (1901), pp. 443-459. (4) PArETO, VILFREDO, Cours d’économie politique ; 2 vols., Lausanne, 1896-7. See especially tome ii., livre iii., chap. i., ‘La courbe des revenus.” The first three memoirs above are mathematical memoirs on the theory of ideal frequency-curves, the first being the fundamental memoir, and the second and third supplementary. The elementary student may, however, refer tc them with advantage, on account of the large collection of frequency-distributions which is given, and from which some of the illustrations in the preceding chapter have been cited. Without attempting to follow the mathematics, he may also note that each of our rough empirical types may be divided info several sub-types, the theoretical division into types being made on different grounds. The fourth work is cited on account of the author’s discussion of the dis- tribution of wealth in a community, to which reference was made in § 15. In connection with the remarks in § 6, on the grouping of ages, reference may be made to the following in which a different conclusion is drawn as to the best grouping : — (5) Youne, ALLYN A., “‘ A Discussion of Age Statistics,” Census Bulletin 18, Bureau of the Census, Washington, U.S.A., 1904. Reference should also be made to the Census of England and Wales, 1911, vol. vii., *‘ Ages and Condition as to Marriage,” especially the Report by Mr George King on the graduation of ages, EXERCISES. 1. If the diagram fig. 6 is redrawn to scales of 300 observations per interval to the inch and 4 inches of stature to the inch, what is the scale of observa- tions to the square inch ? If the scales are 100 observations per interval to the centimetre and 2 inches of stature to the centimetre, what is the scale of observations to the square centimetre ? 2. If fig. 10 isredrawn to scales of 25 observations per interval to theinch and 2 per cent. to the inch, what is the scale of observations to the square inch ? If the scales are ten observations per interval to the centimetre and 1 per cent. to the centimetre, what is the scale of observations to the square centimetre ? 3. If a frequency-polygon be drawn to represent the data of Table I., what number of observations will the polygon show between death-rates of 165 and 17'5 per thousand, instead of the true number 159 ? 4. If a frequency-polygon be drawn to represent the data of Table V., what number of observations will the polygon show between head-breadths 5'95 and 6°05, instead of the true number 236 ? 1UF

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