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JEE MATHEMATICS MCQ: STATISTICS

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Consider any set of observations

x_1, x_2, x_3, \ldots, x_{101}

; it being given that

x_1 < x_2 < x_3 < \ldots < x_{100} < x_{101}

, then the mean deviation of this set of observations about a point

k

is minimum, when

k

equals

View answer and explanation

Correct option: B

x_{51}

Option B (

x_{51}

) is correct because the mean deviation is minimized when calculated about the median, which is

x_{51}

in this ordered set.

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