Question

if the ratio of mode and median of a certain data is 6:5, then find the ratio of its mean and median.

Answer 1

6M=5Z
so in Z=3M-2X
6M/5=3M-2X
-9M/5=-2X
X/M=9/10

Answer 2

Answer:

The ratio of mean and median is 9:10.

Step-by-step explanation:

It is given that ratio of mode and median of a certain data is 6:5.

Let the mode of the data is 6x and median of the data is 5x.

We know that,

Mode = 3 Median - 2 Mean

$6x=3\times (5x)-2(Mean)$

$6x=15x-2(Mean)$

$2(Mean)=15x-6x$

$2(Mean)=9x$

$Mean=\frac{9x}{2}$

The ratio of mean and median is

$\frac{9x}{2}:5x=\frac{9}{2}:5\Rightarrow 9:10$

Therefore the ratio of mean and median is 9:10.