Question 4: Suppose values taken by a variable $x$ are such that $a \leq x_{i} \leq b$, where $x_{i}$ denotes the value of $x$ in $i^{t h}$ case for $i=1,2 \ldots n$. Then (a) $a \leq \operatorname{Var} (x) \leq b$ (b) $a^{2} \leq \operatorname{Var}(x) \leq b^{2} $ (c) $\frac{a^{2}}{4} \leq \operatorname{Var}(x)$ (d) $(b-a)^{2} \geq \operatorname{Var} (x)$ SP.AS. 11171