Statistical Representation of DataMCQPYQ July 21Question 2695 of 295
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Which of the following is suitable for the graphical representation of a Cumulative frequency distribution?

Options

AFrequency polygon
BHistogram
COgive
DPie chart
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Correct Answer

✅ Option c — Ogive

All Options:

  • AFrequency polygon
  • BHistogram
  • COgive
  • DPie chart

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Detailed Solution & Explanation

A cumulative frequency distribution shows the running total of frequencies up to each class boundary. Graphically, this is represented by plotting the cumulative frequencies against the respective class boundaries and joining the points with a smooth curve. This curve is called an **Ogive** (or cumulative frequency curve). There are two types of ogives: 1. **Less than Ogive**: Constructed by plotting the 'less than' cumulative frequencies against the upper class boundaries. This curve is always non-decreasing (rising from left to right). 2. **More than Ogive**: Constructed by plotting the 'more than' cumulative frequencies against the lower class boundaries. This curve is always non-increasing (falling from left to right). In contrast: - A **Histogram** is used for representing grouped frequency distributions (not cumulative ones). - A **Frequency polygon** is a line graph representing class frequencies plotted against class marks. - A **Pie chart** represents the proportion of components making up a total. Thus, the ogive is the suitable graphical representation for a cumulative frequency distribution. Hence, **Option C** 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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