It expresses the distribution of any normal quality, or any group of
normal qualities, among 10,000 persons in terms of the normal-talent.
The M in the upper line occupies the position of Mediocrity, or that of
the average of what all have received: the +1°, +2°, etc., and the –1°,
–2°, etc., refer to normal talents. These numerals stand as graduations
at the heads of the vertical lines by which the table is divided. The
entries between the divisions are the numbers per 10,000 of those who
receive sums between the amounts specified by those divisions. Thus, by
the hypothesis, 2500 receive more than M but less than M +1°, 1613
receive more than M +1° but less than M +2°, and so on. The terminals
have only an inner limit, thus 35 receive more than 4°, some to perhaps
a very large and indefinite amount. The divisions might have been
carried much farther, but the numbers in the classes between them would
become less and less trustworthy. The left half of the series exactly
reflects the right half. As it will be useful henceforth to distinguish
these classes, I have used the _capital_ or large letters R, S, T, U, V,
for those above mediocrity and corresponding _italic_ or small letters,
_r_, _s_, _t_, _u_, _v_, for those below mediocrity, _r_ being the
counterpart of R, _s_ of S, and so on.
In the lowest line the same values are given, but more roughly, to the
nearest whole percentage.
It will assist in comprehending the values of different grades of civic
worth to compare them with the corresponding grades of adult male
stature in our nation. I will take the figures from my “Natural
Inheritance,” premising that the distribution of stature in various
peoples has been well investigated and shown to be closely normal. The
average height of the adult males, to whom my figures refer, was nearly
5 feet 8 inches, and the value of their “normal-talent” (which is a
measure of the spread of distribution) was very nearly 1–3/4 inches.
From these data it is easily reckoned that Class U would contain men
whose heights exceed 6 feet 1–1/4 inches. Even they are tall enough to
overlook a hatless mob, while the higher classes, such as V, W and X,
tower above it in an increasingly marked degree. So the civic worth
(however that term may be defined) of U-class men, and still more of
V-class, are notably superior to the crowd, though they are far below
the heroic order. The rarity of a V-class man in each specified quality
or group of qualities is as 35 in 10,000, or say, for the convenience of
using round numbers, as 1 to 300. A man of the W class is ten times
rarer, and of the X class rarer still; but I shall avoid giving any more
exact definition of X than as a value considerably rarer than V. This
gives a general but just idea of the distribution throughout a
population of each and every quality taken separately so far as it is
normally distributed. As already mentioned, it does the same for _any_
group of normal qualities; thus, if marks for classics and for
Public-domain text, read in full here on John Shaqi.
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