Statistical Representation of DataMCQPYQ June 24Question 2712 of 295
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A histogram and a pie chart represents the same data on monthly expenses of a household. Which statement is most likely true?

Options

AThe histogram only shows the frequency of each expense category, while the pie chart shows the proportion of each category
BBoth the histogram and pie chart show the frequency of each expenses category
CBoth the histogram and pie chart show the proportion of each expenses category
DPie charts are always better than histograms for representing expenses
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Correct Answer

✅ Option a — The histogram only shows the frequency of each expense category, while the pie chart shows the proportion of each category

All Options:

  • AThe histogram only shows the frequency of each expense category, while the pie chart shows the proportion of each category
  • BBoth the histogram and pie chart show the frequency of each expenses category
  • CBoth the histogram and pie chart show the proportion of each expenses category
  • DPie charts are always better than histograms for representing expenses

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Detailed Solution & Explanation

Histograms and pie charts are different graphical tools designed for different analytical purposes: - A **Histogram** is used for grouped frequency distributions of continuous numerical data. The area/height of the bars represents the raw class frequency (or frequency density) of each category or interval. It focuses on the distribution and concentration of data values. - A **Pie Chart** is a circular diagram divided into sectors, where the angle and area of each sector represent the relative proportion or percentage of each category to the total. It is designed to show the composition of a whole. Therefore, when representing monthly household expenses: - The histogram shows the absolute frequency (or amount) in each category. - The pie chart shows the proportion or percentage contribution of each expense category relative to the total monthly expenditure. This distinction is accurately described by Option A. 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.

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