Statistical Representation of DataMCQPYQ May 18Question 2679 of 295
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Frequency density is used in the construction of

Options

AHistogram
BOgive
CFrequency polygon
DNone when the classes are of unequal width.
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Correct Answer

✅ Option a — Histogram

All Options:

  • AHistogram
  • BOgive
  • CFrequency polygon
  • DNone when the classes are of unequal width.

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Detailed Solution & Explanation

Frequency density is defined as the ratio of the frequency of a class interval to its width: Frequency Density=Class FrequencyClass Width\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Width}} In graphical representation, a **Histogram** is used to represent continuous frequency distributions where the area of each bar (rectangle) must be proportional to its class frequency. When the class intervals (widths) are uniform, the height of each bar can simply be proportional to the frequency. However, when the class intervals are of **unequal widths**, plotting the raw frequency on the vertical axis would lead to a distorted representation. To correct for this, we calculate the frequency density for each class and plot it on the vertical axis. Thus, the height of each rectangle represents the frequency density, ensuring that the area of the bar remains proportional to the frequency: Area=Height×Width=Frequency Density×Class Width=Class Frequency\text{Area} = \text{Height} \times \text{Width} = \text{Frequency Density} \times \text{Class Width} = \text{Class Frequency} Therefore, frequency density is fundamentally used in the construction of a Histogram. 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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