10n THEORY OF STATISTICS. 
range, it is very close indeed thereto. Official returns do not 
usually give the necessary analysis of the frequencies at the 
lower end of the range to enable the exact position of the maximum 
to be determined ; and for this reason the data on which Table 
XIII. is founded, though of course very unreliable, are of some 
interest. It will be seen from the table and fig. 16 that with the 
given classification the distribution appears clearly assignable to 
the present type, the number of estates between zero and £100 
in annual value being more than six times as great as the number 
between £100 and £200 in annual value, and the frequency 
continuously falling as the value increases. A close analysis of 
the first class suggests, however, that the greatest frequency does 
not occur actually at zero, but that there is a true maximum 
frequency for estates of about £1 15 0 in annual value. The 
distribution might therefore be more correctly assigned to the 
second type, but the position of the greatest frequency indicates a 
TABLE XIII.—Showing the Numbers and Annual Values of the Estates of 
those who had taken part in the Jacobite Rising of 1715. (Compiled from 
Cosin’s Names of the Roman Catholics, Nonjurors, and others who refused 
to take the Oaths to his late Majesty King George, etc. ; London, 1745. 
Figures of very doubtful absolute value. See a note in Southey’s 
Commonplace Book, vol. i, p. 578, quoted from the Memoirs of T. Hollis.) 
See Fig. 16. 
Annual Annual 
Value in ye of Value in Nb y of 
£100. SE. £100. RE 
0-1 17265 17-18 
1- 2 280 
2- 3 1405 20-21 
3-4 87 21-22 
4-- 465 22-23 
Jo— U 42°5 23-24 
3-7 29:5 
7- 8 25:50 27-28 
8-9 18:5 
9-10 21 31-32 
10-11 | 11'5 
11-12 9:5 39-40 
12-13 es . 
13-14 35k 45-46 ! 
14-15 ! = 
15-16 Fo 48-49 ! 
16-17 v 
Total 176 
vl 
du