•262 COLLECTION OF STATISTICS. 



,, x^ . mi-- n-,.r. ' Partly froiii No. 2 



Coupe rso. = 20+ ^'j = i<;)"00 acres , , ^^ 



I and partly iSO. B. 



„ G= 100 =100 ,, From block No. 3. 



I Partly from No. 3 



= 25 + 100=12;- 



and partly No. 4. 



8= 133-33 =133-33 

 9= 133-33 =133-33 

 10= 133-34 =133-34 ., ' 



I 

 9= 133-33 =133-33 ,, From hlock No. 4. 



Total = 1,000 acres. 



Calcidatioii aitli aiii/ Suitable (JiiaUti/. — In this case any 

 quality can be used, whether it exists on the area or not. 



The total reduced area is obtained by multiplying the 

 several qualities by the corresponding areas and dividing the 

 product by the selected standard quality. It may be greater, 

 equal or smaller than the actual area, according to the size 

 of the standard quality : — 



Reduced A = "^ ^ -'^^ ± "-2 X j,, + a^Xj,^.. . 



The reduced areas of the several parts are obtained by the 

 inverse proportion of their qualities to the standard quality ; 

 thus : — 



Reduced a, = '^-^J'\ 



Reduced a, = ^^ ^/^ 



etc. 



ExamjAe, as ahore. — Let the standard quality = 50 cub. ft., 

 then total reduced area = 



200 X GO + 100 X 50 + 200 X 40 + 500 X 30 _ y, ,, . , ^ ,.^^ 



— ouu cities, 



50 



and for the several blocks : — 

 i)0 



