The Logic of Chance, 3rd edition / An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics

by John Venn

But this last expression represents the probability of an assertion which is unanimously supported by m − n such witnesses.

[10] The stress which Butler lays upon this notion of a scheme is, I think, one great merit of his Analogy.

CHAPTER XVIII.

THE NATURE AND USE OF AN AVERAGE, AND ON THE DIFFERENT KINDS OF AVERAGE.[*]

* There is much need of some good account, accessible to the ordinary English reader, of the nature and properties of the principal kinds of Mean. The common text-books of Algebra suggest that there are only three such, viz.

the arithmetical, the geometrical and the harmonical:—thus including two with which the statistician has little or nothing to do, and excluding two or more with which he should have a great deal to do. The best three references I can give the reader are the following. (1) The article Moyenne in the Dictionnaire des Sciences Médicales, by Dr Bertillon. This is written somewhat from the Quetelet point of view. (2) A paper by Fechner in the Abhandlungen d. Math.

phys.

Classe d. Kön.

Sächs.

Gesellschaft d. Wiss.