Categorical Data Statistics Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumA survey asks: 'Rate your satisfaction: Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied.' Is this categorical or numerical data? Can you calculate a mean satisfaction score?
Solution
- 1 Step 1: The responses are words/labels (categories), so this is categorical data — specifically ordinal categorical data because the categories have a natural order.
- 2 Step 2: Because the categories have an order, they can be assigned numerical codes (e.g., 1–5), and a mean can be computed from these codes.
- 3 Step 3: However, the mean of coded values should be interpreted with caution because the spacing between categories may not be truly equal. A mode or median is often more appropriate for ordinal data.
Answer
This is ordinal categorical data. A mean can be calculated if numerical codes are assigned, but the mode or median is more appropriate.
Ordinal categorical data has a meaningful order but no guaranteed equal spacing between categories. While numerical codes allow arithmetic, the results may not reflect true differences between categories. Understanding this distinction prevents misinterpretation of survey results.
About Categorical Data
Categorical data is data that can be sorted into groups or categories, like colors, types, or names, rather than measured with numbers. You can count how many items fall into each category, but you cannot meaningfully add, subtract, or average the category labels themselves.
Learn more about Categorical Data →More Categorical Data Examples
Example 1 easy
Classify each of the following as categorical or numerical data: (a) Favourite pizza topping, (b) He
Example 3 mediumA student collects data on 20 classmates: shoe size, favourite subject, number of pets, and birth mo
Example 4 hardA researcher records the following for 100 cars: colour (red, blue, white, black, other), fuel type