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JEE MATHEMATICS MCQ: STATISTICS

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If xˉ1\bar{x}_1 and xˉ2\bar{x}_2 are means of two distribution such that xˉ1<xˉ2\bar{x}_1 < \bar{x}_2 and xˉ\bar{x} is the mean of the joint distribution, then
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Correct option: D
xˉ1<xˉ<xˉ2\bar{x}_1 < \bar{x} < \bar{x}_2
Option D (xˉ1<xˉ<xˉ2\bar{x}_1 < \bar{x} < \bar{x}_2) is correct because the mean of the joint distribution lies between the means of the individual distributions when xˉ1<xˉ2\bar{x}_1 < \bar{x}_2.

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