1. Tardigrade
  2. Question
  3. Mathematics
  4. If x<y<2 x; the median and the mean of x, y, and 2 x are 27 and 33 , respectively, then find the mean of x and γ.

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Q. If $x
Statistics

Solution:

As $x, y$ and $2 x$ are in ascending order, median is $\gamma$. $y=27$
$\text { Mean }=\frac{x+y+2 x}{3}=33$
$\Rightarrow \frac{3 x+27}{3}=33 \Rightarrow x=24 .$
$\therefore$ Mean of $x$ and $\gamma=\frac{x+y}{2} \Rightarrow \frac{24+27}{2}=25.5$.