Statistical Representation of DataMCQPYQ Dec 23Question 2708 of 295
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Frequency density corresponding to a class interval is ratio of:

Options

AClass frequency to class length
BClass frequency to total frequency
CClass frequency to cumulative frequency
DClass length to class frequency
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Correct Answer

✅ Option a — Class frequency to class length

All Options:

  • AClass frequency to class length
  • BClass frequency to total frequency
  • CClass frequency to cumulative frequency
  • DClass length to class frequency

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Detailed Solution & Explanation

Frequency density is a concept used in the construction of histograms, particularly when the class intervals of the distribution are unequal. It represents the frequency per unit width of the class interval to ensure the graphical area of the bars is proportional to their frequency. Mathematically, the frequency density of a class interval is defined as: Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}} Where: - **Class frequency** is the frequency of that class interval. - **Class length** (or class width) is the difference between the upper class boundary and the lower class boundary of that class interval. Thus, the frequency density is the ratio of class frequency to class length. This is option A. Hence, **Option A** 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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