question_answer

Suppose values taken by a variable x are such that \[a\le {{x}_{i}}\le b\], where \[{{x}_{i}}\] denotes the value of x in the ith case for i = 1, 2, n. Then          [Kurukshetra CEE 1995, 2000]

A)                 \[a\le \text{Var}(x)\le b\]     

B)                 \[{{a}^{2}}\le \text{Var}(x)\le {{b}^{2}}\]

C)                 \[\frac{{{a}^{2}}}{4}\le \text{Var}(x)\] 

D)                 \[{{(b-a)}^{2}}\ge \text{Var}(x)\]