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Q.

Let  x0, then the minimum value of the mean deviation of the numbers 1,2+x,3+x,5+x,2x about the median is 

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a

1

b

1.2

c

1.4

d

1.6

answer is C.

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Detailed Solution

Subtracting x from each term,  1x,2,3,5+x,x
M.D. (Me) is minimum when  x2
So median = 2
M.D. (Median) =(1+x)+(2x)+0+1+3+x5=7+x575

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