Statistical Representation of DataMCQPYQ June 24Question 2761 of 295
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According to the empirical rule, if the data form a "bell-shaped" distribution, then the maximum and minimum frequencies occur at ______ and ______ respectively.

Options

AMiddle, left end
BMiddle, right end
CEnd, middle
DMiddle, ends
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Correct Answer

✅ Option d — Middle, ends

All Options:

  • AMiddle, left end
  • BMiddle, right end
  • CEnd, middle
  • DMiddle, ends

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Detailed Solution & Explanation

A "bell-shaped" distribution (such as a normal frequency distribution) is symmetrical around its central value: - The curve reaches its peak in the center, which means the **maximum frequency** occurs at the **middle** of the distribution (at the mean/median/mode). - As we move away from the center towards either the left or the right side, the frequencies decrease continuously, approaching zero at the outer extremes. Therefore, the **minimum frequencies** occur at the **ends** (extremities) of the distribution. Thus, the maximum and minimum frequencies occur at the middle and ends respectively. This matches Option D. Hence, **Option D** 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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