A) 2
B) 3
C) 4
D) 5
Correct Answer: C
Solution :
The numbers are a, 2a, 3a,..., 50a. The medi\[2a+3b+4c=0\]an of these numbers\[=\frac{25\alpha +26\alpha }{2}\] \[=25.5a\] \[\therefore \] Mean deviation about median \[=\frac{\begin{align} & |a-25.5a|+|2a-25.5a|+...+|-0.5a|+|0.5a| \\ & +...+|50a-25.5a| \\ \end{align}}{50}\]\[=\frac{|a|}{25}(0.5+1.5+2.5+...+24.5)\] \[=\frac{|a|}{25}\times \frac{25}{2}(0.5+24.5)=\frac{25|a|}{2}\] \[\therefore \] \[50=\frac{25|a|}{2}\Rightarrow |a|=4\]
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