Statistical Representation of DataMCQMTP Dec 22 - Series IIQuestion 2746 of 295
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Frequency density corresponding to a class interval is the ratio of

Options

AClass Frequency to the Total Frequency
BClass Frequency to the class Length
CClass Frequency to the class Frequency
DClass Frequency to the Cumulative Frequency.
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Correct Answer

✅ Option b — Class Frequency to the class Length

All Options:

  • AClass Frequency to the Total Frequency
  • BClass Frequency to the class Length
  • CClass Frequency to the class Frequency
  • DClass Frequency to the Cumulative Frequency.

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Detailed Solution & Explanation

Frequency density measures the concentration of frequency per unit length of a class interval. It is especially important when constructing histograms for distributions with unequal class intervals to ensure that the area of the bars is proportional to their frequencies. Mathematically, the frequency density of a class interval is defined as the ratio of the frequency of that class to the length (or width) of that class: Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}} Where: - **Class Frequency** is the number of observations in the class. - **Class Length** is the difference between the upper and lower boundaries of the 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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