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Question: Answered & Verified by Expert
If $\bar{x}$ and $\bar{y}$ are the means of two distrubutions such that
$\bar{x} < \bar{y}$ and $\bar{z}$ is the mean of the combined distrubution, then which one of the following statements is correc
MathematicsStatisticsNDANDA 2014 (Phase 2)
Options:
  • A $\quad \bar{x} < \bar{y} < \bar{z}$
  • B $\bar{x}>\bar{y}>\bar{z}$
  • C $\bar{z}=\frac{\bar{x}+\vec{\jmath}}{2}$
  • D $\bar{x} < \bar{z} < \bar{v}$
Solution:
2040 Upvotes Verified Answer
The correct answer is: $\bar{x} < \bar{z} < \bar{v}$
It is obvious that, $\bar{x} < \bar{z} < \bar{y}$.

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