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## Mode

The most frequently occurring value (or class) in data is called the mode.

• The mode is the most commonly appearing value in the data distribution.
• We can use mode as the measure of central tendency for both categorical and numerical variables.
• The data distribution can have more than one mode.

#### Example

The age in months of 15 Tiny Tots from a preschool is given in the table below. Compute Mode.

Let’s create a frequency distribution table for the above data.

 Value 24 36 37 38 39 40 41 Frequency 1 3 4 2 2 2 1
• The value 37 appeared the max number of times (four times) in the data distribution.
• Hence, Mode = 37

#### Types of Mode

• Unimodal: There is only one mode in the data distribution. For E.g., x = 1,2,2,3 (mode = 2).
• Bimodal: There are two modes in the data distribution. For E.g., x = 1,2,2,3,3,4 (mode = [2,3] ).
• Trimodal: There are three modes in the data distribution. For E.g., x = 1,2,2,3,3,4,4,5 (mode = [2,3,4] ).
• Multimodal: There are more than three modes in the data distribution. For E.g., x = 1,2,2,3,3,4,4,5,5,6 (mode = [2,3,4,5] ).

#### Application of Mode

A fashion retailer selling items like shoes, shirts, etc will have to manage inventory based on most selling sizes. The mode is the best statistic to be used in such instances; mean & median may not be of much use.

The mode is the only measure of central tendency that can be used for Categorical Variables.

#### Practice Exercise 1

Find the mode for the below histogram

#### Practice Exercise 2

A small startup has 10 employees including the founder members. The monthly salaries of all the employees are given in the table below. Find the mode salary.

 Emp. No. 1 2 3 4 5 6 7 8 9 10 Monthly Salary (k) 90 80 18 18 17 16 16 16 15 14

#### Next Blog

In our next blog, we will discuss the answers for practice exercises given in Mean, Median, and Mode blogs. Later, we will discuss the Measures of Dispersion.

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