Question

If the ratio of mean and median of a certain data is $5:7$, then find the ratio of its mode and mean.

• A. $2:5$
• B. $11:5$
• C. $6:5$
• D. $2:3$

Answer 1

The correct option is B $11:5$

Given: Mean $:$ Median $=5:7$

To find: Mode $:$ Mean

For any given data, $\text{Mode = 3 Median - 2 Mean}$

Let, Mean $=5k$ and median $=7k$

Now, mode $=3\times 7k-2\times 5k=11k$

$\frac{\text{mode}}{\text{mean}}=\frac{11k}{5k}=\frac{11}{5}$

$\therefore$ mode $:$ mean $=11:5$