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FM Categorical Distribution

1.3 Statistical Analysis of Categorical Distributions

Answering Statistical Questions on Categorical Distributions

Mode

  • The mode of categorical data refers to the category with the highest frequency.

Note: the mode of a categorical distribution is also known as the modal category, or dominant category

Example

Given the bar chart:

Bar Chart for Categorical Data

Red has the highest frequency and so it is the modal category.

Guidelines to analysing categorical distributions

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1.2 Displaying Distributions of Categorical Data

Visualising Categorical Data

Frequency

  • The number of times a particular value or category occurs is known as the frequency. This is often used as the basis for displaying and analysing categorical data.

Example

In the following dataset of colours:

Red Red Blue Red

The frequency of each colour is:

Red: 3

Blue: 1

Percentage

  • The proportion of the total data points which belong to a particular group is known as the percentage.
  • This can be calculated using the formula:
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