Statistical Representation of DataMCQMTP May 20Question 2732 of 295
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Median of a distribution can be obtained from

Options

AFrequency polygon
BHistogram
CLess than type ogives
DNone of these.
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Correct Answer

✅ Option c — Less than type ogives

All Options:

  • AFrequency polygon
  • BHistogram
  • CLess than type ogives
  • DNone of these.

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Detailed Solution & Explanation

The Median is the middle-most value of a dataset. In continuous distributions, it can be located graphically using cumulative frequency curves, which are called **Ogives**. - By plotting a **Less than type ogive** (which shows the cumulative frequency of values less than or equal to the upper class boundaries), we can find the median by locating N/2\displaystyle N/2 on the vertical axis (where N\displaystyle N is the total frequency), drawing a horizontal line to meet the curve, and projecting that point down to the horizontal axis. - While both 'less than' and 'more than' ogives together can locate the median at their intersection, a single 'less than' ogive is sufficient and standard for finding the median graphically. - Histograms are used to find the Mode, and frequency polygons show the distribution shape. Thus, the Median is obtained from less than type ogives. 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.

Key Concepts to Understand

Median

The middle value of a data set when arranged in ascending or descending order. It divides the distribution into two equal halves. For even n: Median = average of (n/2)th and (n/2 + 1)th values. It is NOT affected by extreme values.

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