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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A THEORY OF STATISTICS. No inference is possible from positive associations of 4B and BC. An inference is only possible from negative associations if a lie between ‘183 . . . .and ‘215... . Note that cannot exceed 1. (3) y<3(6x— 222-1) > 3(3x + 222), subject to the conditions y<:0, <5z-1, pa. As in (2), no inference is possible from positive associations of 4C and BC 3 an inference is possible from negative associations if z lie between ‘177 . . . . and 224 , . , , Note that 2 cannot exceed 3. CHAPTER V. 1. 4,068. B, 0°36. CHAPTER VI. 1..1200; 200. 2. 100; 20. 3. 146-25, 4. 2165. CHAPTER VII. 2. Mean, 15673 1b. Median, 15467 Ib. Mode (approx.) 150'6 1b. (Note that the mean and the median should be taken to a place of decimals further than is desired for the mode: the true mode, found by fitting a theoretical frequency curve, is 151°1 1b.) 3. Mean, 0'6330. Median, 0'6391. Mode (approx.), 0'651. (True mode is 0653.) 4. £35'6 approximately. 5. (1) 116°0. (2) Means 77°4, 89°0, ratio 114°9. (3) Geometrical means 772, 88-9, ratio 1152. (4) 115-2. 6. (1) 921,507. (2) 916,963. 7. 1st qual. 10s. 63d. 2nd qual. 9s. 21d. 8. n.p. Ifthe terms of the given binomial series are multiplied by 0, 1, 2, 3 . . . , note that the resulting series is also a binomial when a common factor is removed. [The full proof is given in Chapter XV. § 6.] CHAPTER VIII. 2. Standard deviation 21'3 1b. Mean deviation 16:4 1b. Lower quartile 142°5, upper quartile 1684 ; whence @=12-95. Ratios: m.d./s.d. =0°77, @/s.d. =0'61. Skewness, 0:29. : 3. Approximately lower quartile=£26'1, upper quartile=£54'6, ninth decile = £94. 5. (1) M=732, ¢=17'3. (2) M=732, ¢=17"5. (3) M=73"2, &=180. (Note that while the mean is unaffected in the second place of decimals, the standard deviation is the higher the coarser the grouping.) 6. ~/n.pg. The proof is given in Chapter XV. § 6. wr 7. The assumption that observations are evenly distributed over the +0) 2

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