Which one of the following equations represents true mathematical characteristics of mean ?

• ∑(X - X¯)² = minimum

• ∑(X - X¯)^{2 =} 0

• ∑(X - X¯)²  = maximum

• ∑(X - X¯)²  < ∑(X - X¯)

ASSERTION (A) : Area sampling by random numbers requires the area under study which should be gridded within two areas at right angle.

REASON (R) : The intersections of row and coulmn of the area will give the sample locations of observations in the area.

• Both (A) and (R) are true and (R) is the correct explanation of (A).

• Both (A) and (R) are true but (R) is not the correct explanation of (A).

• (A) is true , but (R) is false. 

• (A) is false , but (R) is true.

73.

LIST I (Scatter Diagram)	LIST II (Conventional colour map symbol)
(a)	(b) ρ = -1 ; perfect negative
(b)	(b) ρ = 0 ; no correlation
(c)	(c) ρ = <1 ; positive
(d)	(d) ρ  = 1 ; perfect positive

• a-3 , b-4 , c-1 , d-2

• a-4 , b-3 , c-1 , d-2

• a-3 , b-4 , c-2 , d-1

• a-1 , b-2 , c-3 , d-4

Which one of the following conditions of Input privce variables is applicable in the given diagram of the deviation of a boundary between the market areas of two competing firms A and B , where the freight rate is equal ?

• A^P > B^P

• A^P < B^P

• A^P = B^P

• A^P ≥ B^P