How to Create a Relative Frequency Table | Step-by-Step Guide and Example

relative frequency table

A relative frequency table is a statistical table that showcases the proportion or percentage of data values falling into different categories or intervals

A relative frequency table is a statistical table that showcases the proportion or percentage of data values falling into different categories or intervals. It is used to summarize and analyze data by determining the frequency of each category relative to the total number of observations.

To create a relative frequency table, follow these steps:

1. Gather your data: Collect the raw data you want to analyze and summarize.

2. Determine the categories: Identify the different categories or intervals into which you want to group your data. These categories should be mutually exclusive and comprehensive.

3. Calculate the frequencies: Count the number of data values that fall into each category and record them in a frequency column.

4. Calculate the relative frequencies: Divide the frequency of each category by the total number of observations to calculate the relative frequency. This will give you the proportion or percentage of data values in each category.

5. Create the table: Construct a table with two columns – one for the categories and another for the relative frequencies. List the categories and their corresponding relative frequencies in the table.

Example:
Suppose you have collected data on the favorite colors of 100 people. The data consists of the following categories: red, blue, green, and yellow. The frequency of each color is as follows: red (25), blue (35), green (20), yellow (20).

To create a relative frequency table, calculate the relative frequency for each category:

Relative Frequency = (Frequency of Category) / (Total Number of Observations)

For red: 25/100 = 0.25 (or 25%)
For blue: 35/100 = 0.35 (or 35%)
For green: 20/100 = 0.20 (or 20%)
For yellow: 20/100 = 0.20 (or 20%)

Construct the relative frequency table:

Category Relative Frequency
———————————-
Red 0.25 (25%)
Blue 0.35 (35%)
Green 0.20 (20%)
Yellow 0.20 (20%)

This relative frequency table provides a clear representation of the proportion of people who prefer each color, allowing for easy comparison and analysis of the data.

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