Statistical Description of DataPYQ 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

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.

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