Symmetric or Skewed?
Joseph G. Eisenhauer · College Mathematics Journal · 2002
Can the symmetry or skewness of a random variable's distribution be determined solely by inspecting its measures of center? On the other hand, does the direction of skewness indicate the ordering among measures of central tendency? Although there appears to be some confusion in both textbooks and periodicals on these issues, the present note suggests that the answer to both questions-at least with respect to discrete distributions-is no.