Statistical Representation of DataPYQ Sept 25Question 4161 of 295
All Questions AAn attribute
BA discrete variable
CA continuous variable
DA constant
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Correct Answer
✅ Option b — A discrete variable
All Options:
- AAn attribute
- BA discrete variable
- CA continuous variable
- DA constant
Detailed Solution & Explanation
Let us analyze the type of variable representing the number of students in a college from first principles:
1. **Variables vs Attributes**: An attribute is a qualitative characteristic (e.g., gender, nationality) that cannot be measured numerically. A variable is a quantitative characteristic that can be measured numerically.
2. **Types of Variables**:
- **Discrete Variable**: A variable that can take only isolated, distinct, and typically whole-number values. There are no intermediate values between two consecutive integers.
- **Continuous Variable**: A variable that can take any value within a specified range, including fractions and decimals (e.g., height, weight).
3. **Application**: The number of students in a college is a count (e.g., , , , etc.). It can only take integer values and cannot have fractional values (like students). Therefore, it is a discrete variable.
Hence, **Option B** is the correct answer.
1. **Variables vs Attributes**: An attribute is a qualitative characteristic (e.g., gender, nationality) that cannot be measured numerically. A variable is a quantitative characteristic that can be measured numerically.
2. **Types of Variables**:
- **Discrete Variable**: A variable that can take only isolated, distinct, and typically whole-number values. There are no intermediate values between two consecutive integers.
- **Continuous Variable**: A variable that can take any value within a specified range, including fractions and decimals (e.g., height, weight).
3. **Application**: The number of students in a college is a count (e.g., , , , etc.). It can only take integer values and cannot have fractional values (like students). Therefore, it is a discrete variable.
Hence, **Option B** is the correct answer.
About This Chapter: Statistical Representation of Data
Paper
Paper 3: Quantitative Aptitude
Weightage
2-4 Marks
Key Topics
Data, Frequency Distribution, Graphical Representation
This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.
View Official ICAI SyllabusExam Strategy Tip
This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.
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