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OF THE HUMAN BREED.   5

will, therefore, venture to adapt the phraseology of the allegory to my present purpose by snbstituting for " talent " the words " normaltalent." The value of this normal talent in respect to each and any specified quality or faculty is such that one-quarter of the people receive for their respective shares more than one normal-talent over and above the average of all the shares. Our normal-talent is therefore identical with what is technically known as the ' probable error." Therefrom the whole of the following table starts into life, evolved from that of the "probability integral."

TABLE I.-Normal distribution (to the nearest per ten-thousand and to the nearest per hundred.)

M

 
 

-4°

_ 30

- 20

- 10

+10

+2°

+3°

+4°

 

v and

below

u

t

8

r

R

S

T

U

bove.

Total

35

i8o

672

1613

2500

2500

1613

672

180

35

10,000

2

7

z6

25

25

16

7

2

100

It expresses the distribution of any normal quality, or any group of normal qualities, among io,ooo 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

+I°, +2°, etc., and the -I°, -2°, etc., refer to

normal talents. These numerals stand as