Question

If the ratio of mode and median is $7:4$, then the ratio of mean and mode is:

• A. $7:11$
• B. $2:3$
• C. $5:14$
• D. $8:9$

Answer 1

Answer: (C)

$5:14$

Mode = 3 Median - 2 Mean
$\therefore$ Mode : Median = 7 : 4
$\therefore$ Let, Mode = 7x and Median = 4x
$\therefore 7x=3\times 4x-2$ Mean
$\Rightarrow 7x=12x-2$ Mean
$\Rightarrow 2Mean=5x\Rightarrow Mean=\frac{5}{2}x$
$\therefore$ Mean : Mode = $\frac{5}{2}x:7x=5x:14x$
$=5:14$