Question

Fill in the Blank.
If Mode $-$ Mean $=36$, then Median $-$ Mean $=$ ___________.

Answer 1

It is given that, Mode$-$Mean $=36$
We know Mode $=3$Median $-2$Mean
$\Rightarrow$ Mode $-$Mean $=3$Median $-3$Mean
$\Rightarrow$ Mode $-$ Mean $=3$(Median$-$ Mean)
$\Rightarrow$ 3(Median − Mean) = 36 (Given)
$\Rightarrow$ Median $-$ Mean$=\frac{36}{3}=12$
Thus, the value of Median $-$ Mean is $12$.

If Mode $-$ Mean $=36$, then Median $-$Mean $=\underset{–}{12}$.