Math miscellaneousHard

Question

If the mean deviation about the median of the numbers a, 2a, ....., 50a is 50, then |a| equals

Options

A.3
B.4
C.5
D.2

Solution


A = Median = = 25.5a
Mean deviation {| a - 25.5a| + | 2a - 25.5a|} = {(24.5a 23.5a) ......(0.5a)}
{312.5a} = 50          (Given)
⇒ 625a = 2500     ;    ⇒ a = 4

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