Statistical Representation of DataMCQMTP Dec 2023 Series IIQuestion 2755 of 295
All Questions

The graphical representation of Median is calculated:

Options

AOgive Curve
BFrequency Curve
CLine Diagram
DHistogram
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Correct Answer

✅ Option a — Ogive Curve

All Options:

  • AOgive Curve
  • BFrequency Curve
  • CLine Diagram
  • DHistogram

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Detailed Solution & Explanation

The Median is the central value of a distribution. For continuous frequency data, the median can be located graphically using cumulative frequency curves, which are called **Ogives** (Option A). - To find the median using a 'less than' ogive, we locate the point representing N/2\displaystyle N/2 on the vertical cumulative frequency axis and project it horizontally to the curve, then vertically down to the horizontal axis to read the median value. - Alternatively, the intersection point of the 'less than' and 'more than' ogives projects directly to the median on the horizontal axis. In contrast, a **Histogram** is used to find the Mode graphically. A **Frequency Curve** is a smoothed version of a simple frequency distribution, and a **Line Diagram** is used for simple trends over time. Thus, the Median is calculated graphically using the Ogive curve. 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.

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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