Can a symmetrical distribution have nonzero kurtosis?

  • No
  • Only if it's a normal distribution
  • Only if it's not a normal distribution
  • Yes
Yes, a symmetrical distribution can have nonzero kurtosis. Kurtosis is a measure of the weight in the tails, or the extreme values, which can occur in both directions, thus not affecting the symmetry. For example, a normal distribution is symmetric and has a kurtosis greater than zero.
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