Glossary term

Mode: Meaning and Definition

Reviewed and approved by Dr. Anamika ShrivastavaPublished Last updated

The mode is the value that occurs most often in a data set. It shows the most typical or popular value and is the only average usable for qualitative data. A data set may have one mode, several modes or none. For grouped data the modal class has the highest frequency.

In more detail

The mode is the only average that works for categories, such as the most popular brand. A data set can have two modes (bimodal) or none. In a symmetric distribution the mean, median and mode coincide; in a skewed one they separate, with the median usually between the other two.

Example

In the data 1, 2, 3, 4, 4, 5 the mode is 4, which occurs twice. For a shoe shop, the mode of sizes sold shows which size to stock most.

Key points

  • Continuous: mode = L + D1/(D1 + D2) × h.
  • May be absent or not unique.
  • Mode = 3 median − 2 mean is an approximate relation.

Common mistake

Assuming every data set has exactly one mode.

MedianArithmetic mean

Where it is explained

This term is explained in Class 11 Statistics Chapter 5: Measures of Central Tendency.