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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Statistics

NDA 2014 · Mathematics · Statistics

If x and y are the means of two distributions such that x < y and z...

If xˉ\bar{x} and yˉ\bar{y} are the means of two distributions such that xˉ<yˉ\bar{x} < \bar{y} and zˉ\bar{z} is the mean of the combined distribution, then which one of the following statements is correct?

Options

  1. Axˉ<yˉ<zˉ\bar{x} < \bar{y} < \bar{z}
  2. Bxˉ>yˉ>zˉ\bar{x} > \bar{y} > \bar{z}
  3. Czˉ=xˉ+yˉ2\bar{z}=\frac{\bar{x}+\bar{y}}{2}
  4. Dxˉ<zˉ<yˉ\bar{x} < \bar{z} < \bar{y}

Correct answer

D. xˉ<zˉ<yˉ\bar{x} < \bar{z} < \bar{y}

Step-by-step solution

The correct answer is option(D)
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