Probability, the Foundation of Eugenics;

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Their shapes differ ; the first is an Ogive, the second (Fig. 7) is Bell-shaped. In the curve of Frequency the Deviations are reckoned from the Mean of all the Variates, and not from the Median. Mean and Median are the same in Normal Curves, but may differ much in others. Either curve can be transformed into the other, as is best exemphfied by using a Polygon (Fig. 8) instead of the Curve, consisting of a series of rectangles differ- ing in height by the same amounts, but having widths respecti...vely representative of the frequencies of i, 3, 3, i.
(This is one of those known as a binomial series, whose THE FOUNDATION OF EUGENICS 21 genesis might be briefly explained.) If these rectangles are arrayed in order of their widths, side by side, they become the equivalents of the ogival curve of Distribu- tion. Now if each of these latter rectangles be slid parallel to itself up to either limit, their bases will over- lap and they become equivalent to the bell-shaped curve of Frequency with its base vertical.


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