Sample QuestionWhich of the following is a categorical variable?GenderObjectNumberAlphabet
Question
Sample Question
Which of the following is a categorical variable?
- Gender
- Object
- Number
- Alphabet
Solution
1. ### Break Down the Problem
To identify a categorical variable, we need to understand what a categorical variable is. A categorical variable represents types or categories of data, which can be divided into groups or classifications.
2. ### Relevant Concepts
- Categorical Variable: A variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category.
- Examples of categorical variables include gender (male, female), color (red, blue, green), etc.
3. ### Analysis and Detail
We will evaluate each option to determine if it fits the definition of a categorical variable:
- Gender: Represents categories (male, female) - This is a categorical variable.
- Object: This term is vague but typically refers to things rather than categories - This might not be categorical.
- Number: Represents numerical values which are typically quantitative - This is not a categorical variable.
- Alphabet: This refers to letters which can be considered categories but is more ambiguous than gender.
4. ### Verify and Summarize
From the analysis above:
- Gender is clearly a categorical variable.
- Object is unclear but likely not categorical.
- Number is not categorical.
- Alphabet is ambiguous and may not be strictly categorical depending on context.
Final Answer
The categorical variable among the options is Gender.
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