Question

If Mean = (3 Median-Mode) x, then the value of $x$ is

• A. $1$
• B. $2$
• C. $\frac{1}{2}$
• D. $\frac{3}{2}$

Answer 1

Answer: (C)

$\frac{1}{2}$

We know, Mode $=3\times$ Median $-2\times$ Mean
$\therefore$ Mean $=\frac{3\times \text{Median}-\text{Mode}}{2}=\frac{1}{2}(3\times \text{Median}-\text{Mode})$