SKILL IN TARGET-SHOOTING. 



503 



gentlemen, numbering 1222, 144 arrows at 100 yards, 

 96 at 80, and 48 at 60 yards : the number of targets 

 being, for the former, 164, and for the latter 266. 



TABLE II. 



(8.) To compare these results with theory, and ascer- 

 tain how far the distribution of the hits in each series 

 corresponds with our formula, the best way will be to 

 deduce, in each, five separate values of a the constant 

 appropriate to each, from ist, the hits in the gold; 2d, 

 the sum of those in the gold and red ; 3d, the sum of 

 those in the gold, red, and blue, and so on. These, it 

 is manifest, in each series ought to agree inter se, though 

 different for different series. Applying, then, the ex- 

 pression given in (3.) for a to these entries of "hits" 

 in Table II. on this principle, we derive corresponding 

 values of our constant or modulus as in the annexed 

 table (Table III.), in the first division of which it is set 

 down in units and decimals, as in Table I. ; while in the 

 second are entered the same values reduced to inches 

 and decimals by the multiplier 4*8. 



