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There are four types of frequency distributions: Ungrouped frequency distributions: The number of observations of each value of a variable. You can use this type of frequency distribution for categorical variables. Grouped frequency distributions: The number of observations of each class interval of a variable.
Definition: Categorical Frequency Distribution. A categorical frequency distribution is a table to organize data that can be placed in specific categories, such as nominal- or ordinal-level data.
Tables can show either categorical variables (sometimes called qualitative variables) or quantitative variables (sometimes called numeric variables). You can think of categorical variables as categories (like eye color or brand of dog food) and quantitative variables as numbers.
The categorical distribution is the generalization of the Bernoulli distribution for a categorical random variable, i.e. for a discrete variable with more than two possible outcomes, such as the roll of a die.
There are four types of frequency distribution: In Grouped Frequency Distribution observations are divided between different intervals known as class intervals and then their frequencies are counted for each class interval. This Frequency Distribution is used mostly when the data set is very large.
However, we can describe a categorical distribution’s “typical value” with the mode, and can also note its level of variability. Mode. The Mode of a dataset is the most frequently occurring value. There can be more than one mode in a data set as long as those values have the same frequency and that frequency is the highest.
The frequency table, including the addition of the relative frequency and percentages for each category, is a necessary first step for preparing many graphical displays of categorical data, including the pie chart and the bar chart.