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Last updated on June 18th, 2025

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Nominal Data

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Nominal data is a type of categorical, qualitative data used to classify variables without assigning any numerical value or order. It is the foundation of statistical analysis and most mathematical sciences. In this topic, we are going to talk about nominal data and where we use them.

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What is Nominal Data?

Nominal data is qualitative data used to represent distinct categories or groups without any order. Nominal data is often analyzed using frequencies, percentages, or mode. The categories used to label nominal data do not overlap and cannot be ordered or measured. 

 

When we represent it in a graph, the x-axis represents the categories and the y-axis is the frequency count.

 

Some of the few characteristics of nominal data are:

 

  • Nominal data are categorical, where the categories are mutually exclusive without any overlapping of the categories.

 

  • Nominal data does not contain any kind of numerical data and are purely descriptive.

 

  • No category can be greater than the other which implies that nominal data cannot be ordered or ranked.

 

  • Even if nominal data is arranged alphabetically, the mean cannot be calculated because it lacks numerical value and mathematical meaning. Mean can only be calculated with numerical data.

 

  • Mode is the only measure of central tendency for nominal data.

 

Nominal data is a type of categorical data along with ordinal data. Many get confused between nominal and ordinal data. So here are some of the differences between nominal and ordinal data:

 

Nominal Data Ordinal Data
Nominal data represents categories without any order Data representing categories is ordered
Example: Vehicles (car, bike, bus) Example: t-shirt sizes (small, medium, large)
It is analyzed using mode and frequency counts We analyze ordinal data using median, mode, and frequency counts
Nominal data cannot be measured We can measure the rank between the categories 
Some of the graphical representations are bar charts, pie charts We represent ordinal data graphically in bar charts and histograms

 

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How to Collect Nominal Data?

Nominal data is a type of categorical data that is typically non-numerical and can be collected through open or close-ended surveys, questionnaires, or interviews. Nominal data can be organized into tables and charts. Once the data is collected we will need to analyze this data, some of the ways to analyze nominal data are:

 

Descriptive Statistics:

We use descriptive statistics to see how the data is distributed among the categories. One of the most common methods of descriptive statistics is frequency distribution. Frequency distribution is used to bring order and shows the number of responses or the count for the categories in the variable. 

 

Central tendency:

One of the most common statistical measures to analyze data. It is a measure of where the values lie in the dataset. The most commonly used measures of central tendency are mean, median, and mode. Mode is the most frequently appearing value in the dataset. Since nominal data is strictly qualitative data, the only measure of central tendency we can use is mode. 

 

Statistical Tests:

To analyze data at a deeper level and test hypotheses, we use statistical tests such as the chi-square test. 
 

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How to represent nominal data?

Nominal data consists of categories without any order. To represent this kind of data in ways to make it easier to understand, here are some of the ways we use:

 

  • Frequency tables: Frequency tables list categories with corresponding counts, and no order is needed to represent the data. While the data is not graphically represented, it provides a precise summary of the data.

 

  • Bar charts: Bar charts are one of the most straightforward ways to represent data visually. Each category is represented using bars. This method allows for easy comparison between different categories.

 

  • Pie charts: Here, data is represented in a circular format, where each sector or slice represents a category’s proportion relative to the whole dataset. 
     
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Real-life Applications on Nominal Data

Nominal data is widely used to conduct research using surveys or questionnaires. Here are some real-world applications that use nominal data:

 

Market research:

Most companies use surveys or questionnaires to categorize customers based on their gender, age, or location. This helps in developing new marketing strategies for new products.

 

Education:

To help identify students who need additional support in certain fields or subjects, educational institutions use nominal data. 

 

Environmental sciences:

Researchers use nominal data to gather any information about pollution or behaviors by taking surveys or questionnaires and then organizing them into categories.

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Common Mistakes and How to Avoid Them in Nominal Data

It is easy to understand nominal data, but students often make mistakes when trying to analyze the data. Here are some mistakes that students make and ways to avoid them:

Mistake 1

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Forgetting that nominal data has no order

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Students may forget that nominal data has no specific order and may try to rank the categories. This makes it time-consuming as ordering the data in an order is not relevant.

Mistake 2

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Trying to perform mathematical operations on nominal data

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Do not use mathematical operations to analyze nominal data as it would be impossible. To analyze nominal data make sure to use frequency tables, pie charts, or bar charts.

Mistake 3

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Getting nominal data confused with ordinal data

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Nominal data is qualitative data that has no meaningful order and ordinal data can be ordered in a specific manner. Students must make sure that they do not get the two confused with each other.

Mistake 4

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Incorrectly using mode in nominal data
 

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When using the mode to measure the categories on nominal data, students must make sure that they correctly count the number of common values.

Mistake 5

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Forgetting to label the graphs properly

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When creating bar charts, students must remember to label the categories and frequency properly. Always label the axes and include a title for clarity as well.

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Solved examples of Nominal Data

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Problem 1

A survey asked 50 students about their favorite fruit. The results were: Apple: 15 Banana: 12 Mango: 10 Orange: 8 Grapes: 5 What is the most popular fruit?

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Apple is the most popular fruit.

Explanation

Nominal data is just categories with no ranking, we find the mode (which is the most frequent category. Apple has the highest count.

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Problem 2

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(10/40) × 100 = 25% of employees travel by bus.

Explanation

Since nominal data is categorical, we calculate the percentage by dividing the count of "Bus" users by the total and multiplying by 100.

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Problem 3

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Explanation

We use a bar chart to represent the nominal data categories as they have no order.

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Problem 4

A class of 30 students has the following eye colors: Brown: 15 Blue: 10 Green: 5 What is the mode of eye color?

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Brown (15 students) is the mode.

Explanation

In nominal data, the mode is the most frequent category. Brown appears the most.

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Problem 5

A pet store surveyed 25 customers about their pets: Dog: 12 Cat: 8 Bird: 5 What proportion of customers own a dog?

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(12/25) = 0.48 (or 48%) own a dog.

Explanation

Since nominal data cannot be added or averaged, we use ratios or percentages to compare categories.

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FAQs of Nominal Data

1.Can we rank nominal data based on preference?

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2. What graphs do we use to represent nominal data?

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3.How is nominal data summarized and analyzed?

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4.Can we convert nominal data into numerical data?

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5.How do we use percentages with nominal data?

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Jaipreet Kour Wazir

About the Author

Jaipreet Kour Wazir is a data wizard with over 5 years of expertise in simplifying complex data concepts. From crunching numbers to crafting insightful visualizations, she turns raw data into compelling stories. Her journey from analytics to education ref

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Fun Fact

: She compares datasets to puzzle games—the more you play with them, the clearer the picture becomes!

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