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For a symmetrical frequency distribution, we have

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Question

For a symmetrical frequency distribution, we have

Options

  • mean < mode < median

  • mean > mode > median

  • mean = mode = median

  • mode = `1/2` (mean + median)

MCQ
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Solution

mean = mode = median

Explanation:

In a symmetric (unimodal) frequency distribution the values are mirrored around the central point, so the balance point (mean), the middle value (median) and the highest-frequency value (mode) coincide at that center.

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Chapter 18: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 903]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 18 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 23. | Page 903
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