### Theory:

In the previous topics, we have learnt how to find the mean, median and mode. From those, we can see an approximate relationship between these $$3$$ measures of central tendency. And, the relationship between them is given by:

Mode $$= 3$$ Median $$- 2$$ Mean
Example:
Find the mode, if in distribution, the median and mean are $$30$$ and $$12$$, respectively.

Solution:

Given that Median $$= 30$$ and Mean $$= 12$$

To find the mode.
We know the mode can be determined using the empirical formula:

Mode $$= 3$$ Median $$- 2$$ Mean
Substituting the known values in the above formula, we have:

Mode $$= 3(30) - 2(12)$$

Mode $$= 90 - 24$$

Mode $$= 66$$

Therefore, the mode is $$66$$.