Mode — Individual, Discrete and Continuous Series

The mode is the value that occurs most frequently in a set of data — the single most "typical" or "fashionable" value, in the literal sense of the French word from which it is derived. Unlike the mean and the median, a distribution can have no mode at all (if no value repeats), exactly one mode (unimodal), or more than one mode (bimodal / multimodal).

Individual series. The mode is simply the value occurring the greatest number of times, found by inspection once the data is arranged or tallied.

Discrete series. The mode is the value of $x$ against the highest frequency $f$ — again found directly by inspection of the frequency column, provided the highest frequency is clearly concentrated at one value and not spread flatly across several neighbouring values.

Continuous series. First identify the modal class — the class with the highest frequency — then interpolate within it:

$Mode = L + \dfrac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h$ …