For a certain frequency distribution the value of Mean is $101$ and Median is $100$. Find the value of Mode.
Solution:
Given: $\text{Mean} = 101$, $\text{Median} = 100$
We know that,
$$\text{Mean} - \text{Mode} = 3(\text{Mean} - \text{Median})$$
$$\therefore 101 - \text{Mode} = 3(101 - 100)$$
$$\therefore 101 - \text{Mode} = 3(1)$$
$$\therefore 101 - 3 = \text{Mode}$$
$$\therefore \text{Mode} = 98$$