Question

If the ratio of mean and median of a certain data is $2:3$, then the ratio of its mode and mean is:

• A. $4:3$
• B. $7:6$
• C. $7:8$
• D. $5:2$

Answer 1

The correct option is D $5:2$

Given: $\frac{Mean}{Median}=\frac{2}{3}$

Let say $\Rightarrow Mean=2\lambda andMedian=3\lambda$

We know that,

$Mode=3Median-2Mean$

$\Rightarrow Mode=9\lambda -4\lambda =5\lambda$

$\therefore Mode:Mean=5\lambda :2\lambda =5:2$