Statistical Representation of DataPYQ Sept 25Question 4164 of 295
All Questions APrinciple of Inertia
BPrinciple of Optimization
CPrinciple of Large Numbers
DLaw of Statistical Regularity
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Correct Answer
✅ Option c — Principle of Large Numbers
All Options:
- APrinciple of Inertia
- BPrinciple of Optimization
- CPrinciple of Large Numbers
- DLaw of Statistical Regularity
Detailed Solution & Explanation
Let us review the fundamental principles of sampling theory:
1. **Law of Statistical Regularity**: This principle states that a moderately large sample chosen at random from a large population will, on average, possess the characteristics of the population.
2. **Law of Inertia of Large Numbers**: This principle states that larger databases/samples are more stable and exhibit less fluctuation than smaller ones (often referred to as the Principle of Inertia).
3. **Principle of Optimization**: This principle ensures that the sample design obtains the maximum precision with minimum cost and effort.
4. **Principle of Validity**: This principle ensures that the sample provides valid estimates and tests.
The term "Principle of Large Numbers" is a misnomer and not recognized as a distinct basic principle of sample survey in standard statistical theory (it is the "Law of Inertia of Large Numbers" or "Law of Large Numbers" in probability, but not "Principle of Large Numbers" as a basic principle of sample surveys).
Hence, **Option C** is the correct answer.
1. **Law of Statistical Regularity**: This principle states that a moderately large sample chosen at random from a large population will, on average, possess the characteristics of the population.
2. **Law of Inertia of Large Numbers**: This principle states that larger databases/samples are more stable and exhibit less fluctuation than smaller ones (often referred to as the Principle of Inertia).
3. **Principle of Optimization**: This principle ensures that the sample design obtains the maximum precision with minimum cost and effort.
4. **Principle of Validity**: This principle ensures that the sample provides valid estimates and tests.
The term "Principle of Large Numbers" is a misnomer and not recognized as a distinct basic principle of sample survey in standard statistical theory (it is the "Law of Inertia of Large Numbers" or "Law of Large Numbers" in probability, but not "Principle of Large Numbers" as a basic principle of sample surveys).
Hence, **Option C** 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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