Statistical Representation of DataPYQ May 25Question 4364 of 295
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The law of statistical regularity says that

Options

ASample drawn from the population under discussion possesses the characteristics of population.
BA large sample drawn at random from the population would possess the characteristics of the population.
CA large sample drawn at random from the population would possess the characteristics of the population on an average.
DAn optimum level of efficiency can be attained at a minimum cost.
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Correct Answer

✅ Option c — A large sample drawn at random from the population would possess the characteristics of the population on an average.

All Options:

  • ASample drawn from the population under discussion possesses the characteristics of population.
  • BA large sample drawn at random from the population would possess the characteristics of the population.
  • CA large sample drawn at random from the population would possess the characteristics of the population on an average.
  • DAn optimum level of efficiency can be attained at a minimum cost.

Detailed Solution & Explanation

The Law of Statistical Regularity is a fundamental principle of probability theory and sampling, which states that:
"A moderately large number of items chosen at random from a large group are almost sure on the average to possess the characteristics of the large group."
Key aspects of this law are:
1. The sample must be selected at random so that every unit has an equal chance of being selected.
2. The sample size must be sufficiently large.
3. The sample characteristics will match the population characteristics *on an average* (not necessarily exactly).

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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