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Updated: June 20, 2025


These are concerned with an estimation of the chances of the occurrence of deviations, large enough to exhibit commercial value. This chance may be calculated on the basis of Quetelet's law, whenever the agreement of the fluctuation of the quality under consideration has been empirically determined.

Moreover we may infer from the returns of the Registrar General of births and deaths in Great Britain, and from Quetelet's statistics of Belgium, that one-fourth of the human race die in early infancy, nearly one-tenth before they are a month old; so that we may safely affirm that millions perish on the earth in every century, in the first few hours of their existence.

I chose an ear with 16 rows and sowed its seeds in 1887. A number of plants were obtained, from each of which, one ear was chosen in order to count its rows. An average of 15 rows was found with variations complying with Quetelet's law. One ear reached 22 rows, but had not been fertilized, some others had 20 rows, and the best of these was chosen for the continuation of the experiment.

The prolonged frost in May is said to be produced by an understanding between the Ice-Saints and what is called in France La Lune Rousse, the Red Moon. IV. Though it needs no prophet to foretell hot weather from June 6 to June 23. M, Quetelet's observations point to June 13 and June 22 as days of exceptionally high temperature.

Where these are obvious, they are so without statistics, exactly as they were, previous to Quetelet's discovery. In behalf of a large number of questions concerning heredity and selection, it is very desirable to have a somewhat closer knowledge of these curves. Therefore I shall try to point out their more essential features, as far as this can be done without mathematical calculations.

Curves are easily made by measuring a few hundred capsules from corresponding parts of different plants, or even by limiting the inquiry to a single individual. These curves give the partial variability, and are found to comply with Quetelet's law. Besides this limited study, we may compare the numerous individuals of one locality or of a large plot of cultivated plants with one another.

In order to do this, we take from each plant a definite number of capsules and measure their average length. In some experiments I took the twenty lowermost capsules of the main spikes. In this way one average was obtained for each plant, and combining these into a curve, it was found that these fluctuations also came under Quetelet's law.

Furthermore, whenever an empirical curve agrees in this manner with the theoretical one, the fluctuation complies with Quetelet's law, and may be ascribed to quite ordinary and universal causes. But if it seems to diverge from this line, the cause of this divergence should be inquired into. Such abnormal curves occur from time to time, but are rare.

Whenever decimals are made use of it is obviously the best plan to keep the figures themselves. For afterwards it often becomes necessary to arrange them according to a somewhat different standard. Uniting the heads of the vertical rows of figures by a line, the form corresponding to Quetelet's law is easily seen.

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