Statistical Representation of DataMCQPYQ Dec. 21Question 2696 of 295
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Frequency density of a class interval is the ratio of

Options

AClass frequency to the total frequency
BClass length to class frequency
CClass frequency to the cumulative frequency
DFrequency of that class interval to the corresponding class length.
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Correct Answer

✅ Option d — Frequency of that class interval to the corresponding class length.

All Options:

  • AClass frequency to the total frequency
  • BClass length to class frequency
  • CClass frequency to the cumulative frequency
  • DFrequency of that class interval to the corresponding class length.

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Detailed Solution & Explanation

Frequency density is a crucial metric used when constructing histograms for distributions with unequal class intervals. It measures the concentration of frequency per unit length of the class interval. Mathematically, the frequency density of a class interval 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}} Where: - **Class Frequency** is the number of observations falling within the class. - **Class Length** (or class width) is the difference between the upper and lower class boundaries of that class. This ensures that the area of the rectangles in a histogram represents the frequencies accurately when the class widths vary. This definition matches Option D. Hence, **Option D** 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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