Statistical Representation of DataMCQRTP Sep 24Question 2766 of 295
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Median of a distribution can be obtained from -

Options

AFrequency polygon
BHistogram
COgives
DNone of these
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Correct Answer

Option cOgives

All Options:

  • AFrequency polygon
  • BHistogram
  • COgives
  • DNone of these

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Detailed Solution & Explanation

The Median is the middle value of a sorted distribution. In statistics, the median of a continuous grouped frequency distribution can be obtained graphically from **Ogives** (cumulative frequency curves):\n- We can plot the 'less than' ogive and the 'more than' ogive together. The point where they intersect projects down to the horizontal axis (X-axis) at the value of the Median.\n- Alternatively, we can find the median from a single 'less than' ogive by locating N/2\displaystyle N/2 (half of the total frequency) on the vertical axis, projecting horizontally to the curve, and dropping a perpendicular to the horizontal axis.\n\nIn contrast:\n- A **Histogram** is used to find the Mode graphically.\n- A **Frequency polygon** displays the simple frequencies and is not used to find partition values. \n\nThus, the median is obtained from Ogives. This corresponds to Option C.\n\nHence, **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.

Key Concepts to Understand

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