When is the distinction between
mean and a median important?
Mean (i.e. Arithmetic Average)
Used when data is approximately normally distributed
Sometimes used with skewed data due to its robustness
Preferred on Likert scales (survey data) since values are
ranked but their differences are not clearly quantifiable.
After all, what number does “agree” minus “disagree” equal?
Regardless of how one quantifies these differences, the median
remains the same, but the mean depends on the scale.