Consider set of observations x1,x2,x3,⋯,x101. It is given that x1<x2<x3⋯<x100<x101, then the mean deviation of the set of observations about k is minimum when k equals
A
x1
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B
x51
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C
x1+x2+⋯+x101101
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D
x50+x512
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Solution
The correct option is Bx51 Mean deviation is minimum when deviation is taken from "Median".
Number of observations =101 ⇒median=101+12th observations=x51∴k=x51