Question

The mean and median of the data $x,y,z$ are $50$ and $35$ respectively, where $x<y<z$. If $z-x=55$, then the value of $(y-x)$ is

• A. $8$
• B. $7$
• C. $3$
• D. $5$

Answer 1

The correct option is D $5$

We have,
Mean $=50$ and Median $=35$

$\Rightarrow \frac{x+y+z}{3}=50$ and $y=35$

$\Rightarrow x+z=115$

But, $z-x=55$ (given). Therefore, $x=30$

Hence, $y-x=35-30=5$