A) \[\alpha -\frac{5}{4}\]
B) \[\alpha -\frac{1}{2}\]
C) \[\alpha -2\]
D) \[\alpha +\frac{5}{4}\]
Correct Answer: A
Solution :
Arrange the data as \[\alpha -\frac{7}{2},\alpha -3,\alpha -\frac{5}{2},\alpha -2,\alpha -\frac{1}{2},\alpha +\frac{1}{2},\alpha +4,\alpha +5\] Median\[=\frac{1}{2}[\text{value of }{{\text{4}}^{\text{th}}}\text{item}+\text{value of }{{\text{5}}^{\text{th}}}\text{item }\!\!]\!\!\text{ }\] \ Median \[=\frac{\alpha -2+\alpha -\frac{1}{2}}{2}\] \[=\frac{2\alpha -\frac{5}{2}}{2}\]= \[\alpha -\frac{5}{4}\].
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