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SummaryThis paper presents an application of statistical methods in analysing music. By counting the notes in pieces of music, frequency distributions are obtained and analysed.Particularly Bach's compositions are considered, which appear to be rather disciplined as to the use of the 12 notes in dependence of the key. Perhaps it would be possible to characterize different composers by means of these frequency distributions.Also a specimen of modern music without any key is discussed.

Summary  (The position of the statistician with regard to general management).Analysis of the statistical work to be done in a great concern leads to a determination of the position of the statistician in the usual organisation scheme.

Summary  (Some frequency distributions in music).A frequency distribution of the 12 notes of apiece of music may teach us something about its nature (tonality, chromatic character). There is some indication that the frequency distributions of different pieces by the same composer show similarity.It is possible that further investigation in this unknown territory may lead to interesting results.

Summary  Quarterly figures may be required when only a sequence of annual totals is available. This article presents two reasonable methods for "interpolating" quarterly figures by means of appropriate minimizing procedures.The first method relates to minimizing the sum of squared second differences of the quarterly figures, the other one is a linear programming procedure which refers to the absolute second differences. Both methods are illustrated by a numerical example, the first one giving somewhat better results.

SummarySome remarks are made concerning the application of the VON NEUMANN ratio in testing the residuals of a regression against serial correlation.Special attention is paid to the fact that in general the VON NEUMANN ratio increases when first differences of the original variables are used.

SummaryThe most probable distribution of a stochastic variable is obtained by maximizing the entropy of its distribution under given constraints, by applying Lagrange's procedure.The constraints then determine the type of frequency distribution. The above holds for continuous as well as for discrete distributions.In this note we give a survey of various constraints and the corresponding frequency distributions.

Summary Some years ago Theil introduced new inequality measures, originating from information theory. He applied them 8.0. to income distributions in the United States.This inequality coefficient is ‐ in contrast to Pareto's constant ‐ based on the whole income distribution. Moreover, the inequality can be disaggregated into inequalities for groups of population.The numerical value of the inequality depends on the chosen class intervals; this may be inconvenient when making comparisons between countries, between different periods and the like. Hence we suggest an appropriate standardizing procedure.The inequality of income distributions has been calculated for the period 1950–1964 and a cornparison is made with Pmm's constant. The investigation relates to three groups of population: wage earners, self employed and others. A remark is made about between‐province inequalities.