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

VIII.—MEASURES OF DISPERSION, ETC. 141 CALCULATION OF THE STANDARD DEVIATION: Example iii.— Calculation of the Standard Deviation of Stature of Male Adults in the British Isles Jrom the figures of Table VI., p. 88. (Cf. p. 112 for the calculation of mean alone, ) (1) (2) (3) (4) (5) Deviation Height. Frequency. from Product. Product Inches. I Value 4. T= Fas ez 57- 9 -10 20 200 58- 4 - 9 36 324 59- 14 - R 112 896 €- 41 - 287 2,009 ai. 83 - 498 2,988 Or 169 =~ 13 845 4,225 63— 394 - 1576 6,304 64- 669 - 2007 6,021 65— 990 = Bi 1980 3,960 66 1223 = i 1223 1.223 67- 1329 0 —- 8584 — 68 1230 3] : 1230 1,230 69- 1063 + 2 2126 4,252 70- 646 + 3 1938 5,814 71- 392 =f 1568 6,272 72- 202 + 1 1010 5,050 73- 79 + 474 2,844 7— a! + 7 : 224 1,568 yo— 1: : 128 1,024 7h- 45 405 » : 20 200 Tin) EJ +8763 56,809 From previous work, #/ — 4 =d= + ‘0209 class-intervals or inches, =(/.8) _ 56809 = CER 66172. o2=6"6172 — (0209)2 =66168. .*. @=2'57 class-intervals or inches. ii. the standard deviation is 1-24 per cent. ; six times this is 7-44 per cent., and a range from 0-75 to 8:19 per cent. includes all but one observation out of 632. In Example iii. the standard deviation 1s 2:57 in., six times this is 15°42 in, and a range from, say, 60 in. to 754 in. includes all but some 37 out of 8585 individuals, z.e. about 99-6 per cent. This rough rule serves to a AEQE :

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