File:Statistical studies in the New York money-market; preceded by a brief analysis under the theory of money and credit, with statistical tables, diagrams and folding chart (1902) (14594070278).jpg

Identifier: statisticalstudi00nort (find matches)
Title: Statistical studies in the New York money-market; preceded by a brief analysis under the theory of money and credit, with statistical tables, diagrams and folding chart
Year: 1902 (1900s)
Authors: Norton, John Pease, 1877-
Subjects: New York Stock Exchange Credit Money
Publisher: New York, MacMillan
Contributing Library: Robarts - University of Toronto
Digitizing Sponsor: University of Toronto

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ntative the series having the smaller probablevariation. The method of calculating the probable variation is doubt-less familiar. The expression of the probable variation is approximately ±2/3y , where v is the deviation of any one of the numbers entering in to form the average from theaverage, n the number of records forming the average. * *(v) (v2) -0.6 0.36 + 1.2 1.44 + 2.1 4.41 —0.2 0.04 + 3-7 13.69 -0.6 0.36 + 3-7 13.69 —0.1 O.QI —1.0 I.OO -0.6 O.36 -2.3 5.29 2v2=54.83 To illustrate briefly, the average change for the second weekin the eighteen year series is +5.617. The numbers entering theaverage are eighteen in number. The differences between thesuccessive numbers and the average are given in the columnunder v. The squares of the vs follow and on adding thecolumn we have 54.83, which is the 2v2 of the expression ±2/34/ ^-. .*. 54.83 + 17 = 3.22. The square root of 3.22 r n —1multiplied by 2/3 is 1.2 or the probable variation of the statis-tical array. taoram 18 years
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+5+4- +3. Diagram No.^. +i .V o ■JL il VV «V ««!■ :o If.!? 1 34 «B !*, 4 ■51 — Table No. 12 contains the two series of probable variations.In Diagram No. 6 the broken, dotted line (in the lower part)represents the twenty-two year series of probable variations,and the broken, heavy line the eighteen year series. The Table No. 12. Probable Variations of the eighteen year and twenty-two year Average Changes in the Reserve Deviations. -X. .* *. ^ 0 i> OJ <u 0 s 18 years. 23 years. 0 18 years. 22 years. 0 * 18 years. 22 years. 40 18 years. 22 years. I 1.7 1.6 14 2.1 1.8 27 2.0 2.0 1.7 1.8 2 1.2 1-3 15 1.3 1.8 2S 2.0 1.8 41 1.9 2.0 3 1-5 1.5 i(» 1.8 1-7 29 1.7 1-5 42 2.3 2.2 4 1.3 1.4 17 1.1 1.6 30 1-4 1-7 43 1.9 1.9 5 1.7 2.5 18 2.0 2.6 31 1.6 2.0 44 1.5 1.6 6 1-7 4-3 19 2.0 2.1 32 1.8 2.0 45 1.6 1-5 7 2.0 2.2 20 2.1 2.3 33 2.1 2.4 46 1-3 2.5 S 1.6 1.6 21 1.4 3-3 34 1.0 i-3 47 1.8 2.0 9 1.4 1-4 22 1.9 2.8 35 1.9 1.9 48 1.8 2.5 10 1.

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