Statistical Representation of DataMCQMTP June 22Question 2742 of 295
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Relative frequency for a particular class lies between:

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — 0\displaystyle 0 and 1\displaystyle 1, both inclusive

All Options:

  • A0\displaystyle 0 and 1\displaystyle 1
  • B0\displaystyle 0 and 1\displaystyle 1, both inclusive
  • C−1\displaystyle -1 and 0\displaystyle 0
  • D−1\displaystyle -1 and 1\displaystyle 1

Detailed Solution & Explanation

The relative frequency of a class is defined as the ratio of the frequency of that class (fi\displaystyle f_i) to the total frequency (N\displaystyle N or ∑fi\displaystyle ∑\displaystyle \sum f_i) of the distribution: Relative Frequency=fiNRelative Frequency=fiN\displaystyle \text{Relative Frequency} = \frac{f_i}{N} Since frequency is a count of occurrences, it is always a non-negative number: fi≥0  ⟹  fiN≥0f_i ≥\displaystyle \ge 0 \implies fiN\displaystyle \frac{f_i}{N} ≥\displaystyle \ge 0 Additionally, the frequency of any single class cannot exceed the total frequency of all classes: fi≤N  ⟹  fiN≤1f_i ≤\displaystyle \le N \implies fiN\displaystyle \frac{f_i}{N} ≤\displaystyle \le 1 Thus, the relative frequency of any class must satisfy the inequality: 0≤Relative Frequency≤10 ≤\displaystyle \le Relative Frequency\displaystyle \text{Relative Frequency} ≤\displaystyle \le 1 This means that the relative frequency lies between 0\displaystyle 0 and 1\displaystyle 1, **both inclusive** (it can be 0\displaystyle 0 if the class contains no observations, or 1\displaystyle 1 if all observations fall into that single class). This corresponds to Option B. 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 Syllabus

Exam Strategy Tip

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

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