Central Tendency & DispersionPYQ 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

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.

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