Statistical Representation of DataMCQMTP Dec 22 - Series IQuestion 2745 of 295
All Questions

Median of a distribution can be obtained from:

Options

AHistogram
BFrequency Polygon
CLess than type ogives
Dnone of these
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Correct Answer

✅ Option c — Less than type ogives

All Options:

  • AHistogram
  • BFrequency Polygon
  • CLess than type ogives
  • Dnone of these

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Detailed Solution & Explanation

The Median is the middle value of a sorted dataset, dividing it into two equal halves. For grouped frequency distributions of continuous variables, the median can be located graphically using cumulative frequency curves (Ogives). - To find the median using a **Less than type ogive**, we locate the point on the vertical y-axis corresponding to N/2\displaystyle N/2 (where N\displaystyle N is the total frequency). - We draw a horizontal line from this point to intersect the ogive curve. - From the point of intersection, we drop a perpendicular to the horizontal x-axis. The value at which this perpendicular meets the x-axis is the graphical estimate of the Median. Histograms are used to find the Mode, and frequency polygons display simple frequencies. Therefore, the Median is obtained from less than type ogives (Option C). 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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