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JEE MATHEMATICS MCQ: STATISTICS

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Analyzing +4 | -1
Suppose values taken by a variable xx are such that a≤xi≤ba \leq x_i \leq b, where xix_i denotes the value of xx in the ii th case for i=1,2,3,…,ni=1,2,3, \ldots, n. Then,
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Correct option: D
(b−a)2≥Var⁡(x)(b-a)^2 \geq \operatorname{Var}(x)
Option D ((b−a)2≥Var⁡(x)(b-a)^2 \geq \operatorname{{Var}}(x)) is correct because the variance is always less than or equal to the square of the range.

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