Statistical Representation of DataMCQMTP June 24 Series IIIQuestion 2677 of 295
All Questions

The pair of averages whose value can be determined graphically.

Options

AMean and Median
BMode and Mean
CMode and Median
DNone of these
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Correct Answer

✅ Option c — Mode and Median

All Options:

  • AMean and Median
  • BMode and Mean
  • CMode and Median
  • DNone of these

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Detailed Solution & Explanation

We analyze the graphical determination of different measures of central tendency: 1. **Median**: The median can be graphically determined by plotting cumulative frequency curves, also known as **Ogives**. By constructing the 'less-than' and 'more-than' ogives, their point of intersection projected onto the horizontal axis (x\displaystyle x-axis) yields the value of the median. Alternatively, one can find the value of x\displaystyle x corresponding to the cumulative frequency of N2\displaystyle \frac{N}{2} on a single ogive. 2. **Mode**: The mode can be graphically determined using a **Histogram**. In a histogram of a continuous frequency distribution, the modal class is represented by the tallest rectangle. By drawing two diagonal lines from the upper corners of the tallest rectangle to the adjacent upper corners of the neighboring rectangles, the x\displaystyle x-coordinate of the intersection point of these diagonals gives the mode. 3. **Mean**: The arithmetic mean cannot be determined graphically as its calculation requires summing all individual observations, which is not represented directly in cumulative or grouped graphical structures like ogives or histograms. Thus, the pair of averages that can be determined graphically is the Mode and Median, which corresponds to 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.

Related Comparison Tables

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