_Human Variety._—The natural character and faculties of human beings
differ at least as widely as those of the domesticated animals, such as
dogs and horses, with whom we are familiar. In disposition some are
gentle and good-tempered, others surly and vicious; some are courageous,
others timid; some are eager, others sluggish; some have large powers of
endurance, others are quickly fatigued; some are muscular and powerful,
others are weak; some are intelligent, others stupid; some have
tenacious memories of places and persons, others frequently stray and
are slow at recognising. The number and variety of aptitudes, especially
in dogs, is truly remarkable; among the most notable being the tendency
to herd sheep, to point and to retrieve. So it is with the various
natural qualities that go towards the making of civic worth in man.
Whether it be in character, disposition, energy, intellect, or physical
power, we each receive at our birth a definite endowment, allegorised by
the parable related in St. Matthew, some receiving many talents, others
few; but each person being responsible for the profitable use of that
which has been entrusted to him.
_Distribution of Qualities in a Nation._—Experience shows that while
talents are distributed in endless different degrees, the frequency of
those different degrees follows certain statistical laws, of which the
best known is the Normal Law of Frequency. This is the result whenever
variations are due to the combined action of many small and different
causes, whatever may be the causes and whatever the object in which the
variations occur, just as twice 2 always makes 4, whatever the objects
may be. It therefore holds true with approximate precision for variables
of totally different sorts, as, for instance, stature of man, errors
made by astronomers in judging minute intervals of time, bullet marks
around the bull’s-eye in target practice, and differences of marks
gained by candidates at competitive examinations. There is no mystery
about the fundamental principles of this abstract law; it rests on such
simple fundamental conceptions as, that if we toss two pence in the air
they will, in the long run, come down one head and one tail twice as
often as both heads or both tails. I will assume then, that the talents,
so to speak, that go to the formation of civic worth are distributed
with rough approximation according to this familiar law. In doing so, I
in no way disregard the admirable work of Prof. Karl Pearson on the
distribution of qualities, for which he was adjudged the Darwin Medal of
the Royal Society a few years ago. He has amply proved that we must not
blindly trust the Normal Law of Frequency; in fact, that when variations
are minutely studied they rarely fall into that perfect symmetry about
the mean value which is one of its consequences. Nevertheless, my
conscience is clear in using this law in the way I am about to. I say
that _if_ certain qualities vary normally, such and such will be the
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