EXPLANATION OF TABLES. VII 



for United States." Tlie first four totals show the aggregate number at each rate of 

 expansion of chest {for the icholc country) at the height and circumference of chest 

 specified -at the top of the page, and the fifth total is formed, as in the first case, by the 

 addition of these four. Followed to its extreme nght, the line shows the whole number 

 of men of the entii-e table of the particular degree of stature that heads the page. 



The first vertical cohunn of totals presents the total number of men of the speci- 

 fied girth of chest in each district ; the addition of these numljers forms the total for the 

 State, and necessarily coincides with the total in the horizontal line. The column on 

 the extreme right exhibits the total number of men in each district, of the degree of 

 stature at the head of the page; and the addition of these totals also coincides with the 

 total of the horizontal line, and represents the total, of the stature in question, for the 

 State 



On page 72 commences the last of the eight series, that, namely, which illustrates 

 the maximum degree of stature. On the extreme right of the right-hand page will be 

 found a column with the heading of "Grand aggregate." This shows, seriatim, the 

 total number of men of all dimensions in each district; and the addition of these dis- 

 trict-totals forms the total number from the entire State. 



On the last page of all, (page 81,) in the lower right-hand corner, these totals 

 for the separate States aggregate in the final total which shows the whole number of 

 men of the entire table. This also coincides with the result of the addition of the 

 "totals" of the horizontal line entitled "Grand total United States." 



Ratios. — Every total is accompanied with a ratio. The "ratio per thousand exam- 

 ined," which is associated with totals of districts, either on vertical or horizontal lines, 

 does not refer to the number of men represented in the entire table, but to the total 

 number examined in the State alone. The ratios appertaining to the lines of " Grand 

 total United States," and to the column of "Grand aggregate" in the last series, refer 

 to the whole number of men of the entire, table, viz, 315,620. 



The total number of men examined in each State will be found stated in the 

 columns headed "Grand aggregate," which extend from page 73 to page 81. 



Example. — Supposing it were desired to trace out in this table its developments 

 regarding the State of Maine, the reader should turn to page 2, on which he will find 

 the first record concerning it. Of the first degree of stature, that, namely, in which 

 the height is "under Gl inches," there are, in all, 72 men from Maine. This number 

 will be observed on the extreme right of the hoi'izontal line of totals, and indicates that 

 of the whole lumiber of men examined in the State there Avere 72 who, though varying 

 in girth and mobility of chest, were all of the height specified. They belonged to the 

 districts of the State in the proportion set forth above the total, namely : 



From the first district 26 \ 



From the second district. ... 14/ . ,, . ... 



TT xi xi • T T i. • i. n[ AH beiu"' under 01 niches ni 



l^rom the thu-d district 2> ^ i • i 



From the fourth district 18v ^ ' 



From the fifth district . . 12 ) 



72 



