Statistical Representation of DataMCQMTP Nov 19Question 2730 of 295
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Frequency density is used in the construction of:

Options

AHistogram
BOgive
CFrequency Polygon
DNone of these
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Correct Answer

Option aHistogram

All Options:

  • AHistogram
  • BOgive
  • CFrequency Polygon
  • DNone of these

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Detailed Solution & Explanation

In a histogram, the area of each rectangle represents the frequency of the corresponding class interval. - When class intervals are equal, the width of each bar is the same, so the height of the bar is directly proportional to its class frequency. - However, when the class intervals are **unequal**, plotting the frequency directly as the height would distort the visual representation (making wider classes look disproportionately larger). To prevent this, we adjust the height of the bars using **Frequency Density**: Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}} - By plotting frequency density on the vertical axis, the area of each bar remains proportional to its frequency. Thus, frequency density is used in the construction of a Histogram. 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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