2020-11-08

What is a frequency distribution of qualitative data and why is it useful?

liingliing8

Sometimes an event will occur more than once, the number of occurrences is known as frequency, and the list of frequencies for all events in data is known as a frequency distribution.
Qualitative variable: A variable that is used for classification of individuals based on some attributes or qualities or characteristics are called categorical or qualitative variable. Overall qualitative data is non-numerical data.
Frequency distribution of qualitative data:
From the definitions of frequency distribution and qualitative data it is easy to infer the meaning of the frequency distribution of qualitative data. This is the list of the number of occurrence of the qualitative data that is, the frequencies of all different values that are represented in the data
Use of the frequency distribution of qualitative data:
Some of the most important uses of frequency distribution of qualitative data is: - It helps to organize the data in order to make it understand easily. - It reduces the difficulty of understanding the qualitative data, by giving the count of distinct values.

Jeffrey Jordon

It is a chart that displays the distinct values of the qualitative data on a horizontal axis and the frequencies of those values on a vertical axis. It is O B. It is a listing of the distinct values and their frequencies. It is useful because it provides a table of the values of the observations and how often O C.

user_27qwe

The frequency distribution of qualitative data is a tabular summary that shows the number of times each category or group occurs in a dataset. It is useful for organizing and presenting categorical information in a clear and concise manner.
To create a frequency distribution, we first list all the unique categories or groups in the dataset, denoted as ${X}_{1},{X}_{2},\dots ,{X}_{k}$. Then, we count the frequency or the number of observations that belong to each category. Let's denote the frequencies as ${f}_{1},{f}_{2},\dots ,{f}_{k}$. The frequency distribution table can be represented as follows:
$\begin{array}{cc}\hfill \text{Category}\hfill & \hfill \text{Frequency}\hfill \\ \hfill {X}_{1}\hfill & \hfill {f}_{1}\hfill \\ \hfill {X}_{2}\hfill & \hfill {f}_{2}\hfill \\ \hfill ⋮\hfill & \hfill ⋮\hfill \\ \hfill {X}_{k}\hfill & \hfill {f}_{k}\hfill \end{array}$
Each row in the table represents a category, and the corresponding frequency denotes how many observations fall into that category. By examining the frequency distribution, we can easily identify the most common or rare categories and observe any patterns or trends within the data.
For example, let's say we have a dataset of animals and their respective types. The qualitative variable here is the animal type, and we want to analyze its frequency distribution. The resulting table might look like this:

From this frequency distribution, we can easily see that dogs have the highest frequency, followed by cats. We can also observe that fish is the least common animal type in the dataset.
In summary, the frequency distribution of qualitative data allows us to summarize and analyze categorical information effectively, providing insights into the distribution and prevalence of different categories within a dataset.

karton

A $frequency$ $distribution$ $of$ $qualitative$ $data$ refers to a summary table or chart that displays the frequencies or counts of different categories or groups in a dataset. It is useful because it provides a visual representation of how often each category occurs, allowing for a quick understanding of the distribution and patterns within the data.