Statistical Representation of DataPYQ May 25Question 4366 of 295
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Which of the following statements about simple random sampling is NOT true?

Options

ASimple random sampling ensures that each unit in the population has an equal chance of being selected.
BIn simple random sampling with replacement, each selected unit is replaced to the population before the next unit is drawn.
CSimple random sampling is highly effective when the population is very large and heterogeneous.
DIn a simple random sampling without replacement, a unit is selected, it will never be selected again.
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Correct Answer

✅ Option c — Simple random sampling is highly effective when the population is very large and heterogeneous.

All Options:

  • ASimple random sampling ensures that each unit in the population has an equal chance of being selected.
  • BIn simple random sampling with replacement, each selected unit is replaced to the population before the next unit is drawn.
  • CSimple random sampling is highly effective when the population is very large and heterogeneous.
  • DIn a simple random sampling without replacement, a unit is selected, it will never be selected again.

Detailed Solution & Explanation

Let us evaluate each of the statements concerning simple random sampling (SRS):
- **Option a**: "Simple random sampling ensures that each unit in the population has an equal chance of being selected." This is the definition of simple random sampling, so it is true.
- **Option b**: "In simple random sampling with replacement (SRSWR), each selected unit is replaced to the population before the next unit is drawn." This is correct, as the population size remains constant during sampling.
- **Option d**: "In a simple random sampling without replacement (SRSWOR), a unit is selected, it will never be selected again." This is correct, as selected units are not returned to the population.
- **Option c**: "Simple random sampling is highly effective when the population is very large and heterogeneous." This is **not true**. When a population is heterogeneous, stratified random sampling is much more effective to ensure all sub-groups are representative. SRS can lead to high sampling error in heterogeneous populations.

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 Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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