What is the key characteristic of a symmetric distribution?

  • It has a mean of zero
  • It has a mode at the peak
  • It has no outliers
  • It has the same shape on the left and right when split vertically at the center
The key characteristic of a symmetric distribution is that it has the same shape on the left and right when split vertically at the center (i.e., about the mean). This means that the frequencies of corresponding values on either side of the center are equal.
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