Mode is one of the central tendencies of data distribution along with mean and median. Mode which can be understood as the most typical value of a data set is very easy to find. It does not involve much of tedious computations and can be generally found by easy observation of occurrences of data values. Mode is the most meaningful average when data is tightly clustered around one or two values.

Mode is the most often occurring value in a data set.
  • A data set with only one value with the greatest frequency is termed as Unimodal, while data sets which display the same greatest frequency for two values are called Bimodal. Both these two values are considered as Modes.
  • When the data set has more than two values occurring with the same greatest frequency, then the distribution is described as multimodal and each of such values is a mode.
  • If in a data set no data value occurs more than once or when all the data values have the same frequency, then the data set is said to have no mode.
  • For grouped data with given frequencies, the modal class is the class with highest frequency.
The mode for small data sets can be determined by plotting the occurrences of data values on a number line.

Solved Example

Question: The following are points scored by a Basket ball team during the games played in a season.
94, 94, 95, 96, 97, 97, 97, 98, 98, 98, 98, 99, 100, 101, 102, 89, 90, 92, 92, 92, 93, 97, 97, 99, 99, 99, 99, 100, 103, 108.
Find the mode of the points scored.
The picture below shows the points marked for each occurrence of the score.

Mode Examples

It can be seen that the point 99 has occurred 5 times in the season which is the highest.
Hence the mode of the Points scored = 99.