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For a symmetrical distribution, which of the following is correct?

  • A.Mean > median > mode
  • B.Mean < median < mode
  • C.Mean = median = mode
  • D.Mean ≠ median ≠ mode

Answer: C

A symmetrical distribution has no skew, so the three measures of central tendency coincide at the centre.

\[ \text{Mean} = \text{Median} = \text{Mode} \]

Skew is precisely what pulls them apart: a right skew leaves mean > median > mode.

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