Statistical Representation of DataPYQ Jan 26Question 4227 of 295
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Frequency density of a class interval may be defined as the ratio of

Options

Athe frequency of that class length to the corresponding class interval
Bthe frequency of that class interval to the corresponding class length
Cthe frequency of that class frequency to the corresponding class length
Dthe frequency of that class frequency to the corresponding cumulative class frequency
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Correct Answer

✅ Option b — the frequency of that class interval to the corresponding class length

All Options:

  • Athe frequency of that class length to the corresponding class interval
  • Bthe frequency of that class interval to the corresponding class length
  • Cthe frequency of that class frequency to the corresponding class length
  • Dthe frequency of that class frequency to the corresponding cumulative class frequency

Detailed Solution & Explanation

The frequency density of a class interval is used in constructing histograms when the class intervals are of unequal width.
It is defined as the ratio of the frequency of that class interval to the corresponding class width (or class length):
Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}}

This matches the definition given in **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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