JEE MATHEMATICS MCQ: STATISTICS

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Consider any set of 201 observations

{x_1},{x_2},\; \ldots {x_{200}},{x_{201}}

. It is given that

{x_1} < {x_2} < \ldots < {x_{200}} < {x_{201}}

. Then, the mean deviation of this set of observations about a point

k

is minimum when

k

equals

View answer and explanation

Correct option: C

{x_{101}}

Option C (

{x_{101}}

) is correct because the mean deviation is minimized when calculated about the median, and in this ordered set, the median is the 101st observation.

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