Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-24T14:56:12.674Z Has data issue: false hasContentIssue false
  • English
  • Français

Mathematics for the Study of Frequency Statistics

Published online by Cambridge University Press:  03 November 2016

W. F. Sheppard
Get access Rights & Permissions [Opens in a new window]

Extract

The title of my address is “Mathematics for the Study of Frequency Statistics.”

By frequency statistics I mean statistics which give the result of counting. A statement as to the number of teachers receiving annual salaries in excess of a certain amount would come under the head of frequency statistics : a statement as to the total amount paid annually to these teachers would not. The sort of thing that I have mainly in mind is a table giving the numbers of boys of specified heights, the heights being taken to the nearest inch, or the numbers of girls who, having worked a paper with full marks 100, get under 5 marks, 5 and under 10, and so on. I may mention that the word “frequency” is usually applied to the actual number in a specified category; the proportion of this number to the total is called the “relative frequency.”

Type
Research Article
Information
The Mathematical Gazette , Volume 15 , Issue 210 , December 1930 , pp. 232 - 249
Copyright
Copyright © Mathematical Association 1930

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

page note 231 * E. T. Whittaker and G. Robinson, The Calculus of Observations (1st ed. 1924).

page note 236 * Dates, throughout, are mostly taken from Whittaker and Robinson’s book, quoted in note to §4.

page note 240 * Subtabulation is the process of constructing from a table, in which the constant difference of x is h, a new table in which the constant difference is h/c, c being some integer. Usually c is 10; e.g. h may be −01, and h/c is then .001.

page note 241 * G. J. Lidstone, ‘Notes on Everett’s Interpolation Formula”, Proc. Edinb. Math. Soc.40 (1921-22).

page note 242 * There would also, in the general case, be an absolute term, depending on the term with which the sum starts. In the present case this absolute term is 0.