Measures of Central Tendency and DispersionMCQPYQ June 24Question 3044 of 473
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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

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

✅ Option d — Middle, ends

All Options:

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

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Detailed Solution & Explanation

**Step 1: Recall properties of a bell-shaped (normal) distribution.** A bell-shaped distribution is symmetric and unimodal: - The **maximum frequency** occurs at the **center** (the mean/median/mode — the peak of the bell). - The **minimum frequencies** occur at the **extreme ends** (the tails of the distribution). **Step 2: Match with options.** - The maximum frequency is at the **middle** (center/mode). - The minimum frequency is at the **ends** (tails). This matches **Option D**: Middle, ends. Hence, **Option D** is the correct answer.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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