If all the elements in the sample are occurring for once, then it has no mode. But it can have a mean and a mode, so can we find mode using the formula Mean – Mode = 3(Mean – Median)?
This formula is often known as empirical relationship, the term
empirical suggests that there’s no proof, but only a countless number of observations that state this relationship between mean, median and mode.
As there’s no theoretical proof, there is no limit to the distribution this may state true.
But in a discrete uniform distribution, we can say either we have
No Mode or
If we consider the latter one, and say we have
Many Modes then empirical relationship will give us one of those modes, after putting values for mean and median in the formula.