Statistical Representation of DataMCQPYQ June 22Question 2700 of 295
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If the cumulative frequency are plotted on axis then which type of curve is formed

Options

AOgive
BFrequency curve
CHistogram
DFrequency Polygon
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Correct Answer

Option aOgive

All Options:

  • AOgive
  • BFrequency curve
  • CHistogram
  • DFrequency Polygon

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Detailed Solution & Explanation

When the cumulative frequencies of a grouped distribution are plotted against the corresponding class boundaries, the resulting graph is called an **Ogive** (or a cumulative frequency graph). Specifically: - If we plot the 'less than' cumulative frequencies against the upper class boundaries, we obtain a "Less than Ogive" (an upward-sloping curve). - If we plot the 'more than' cumulative frequencies against the lower class boundaries, we obtain a "More than Ogive" (a downward-sloping curve). Other options: - A **Frequency curve** is a smoothed version of a frequency polygon. - A **Histogram** is constructed using class intervals and class frequencies (not cumulative frequencies). - A **Frequency Polygon** is formed by joining the mid-points of the tops of the rectangles of a histogram. Therefore, plotting cumulative frequencies yields an Ogive. 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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