Measures of Central Tendency: More properties

Measures of Central Tendency: More properties#

Learning objectives#

After working through this topic, you should be able to:

  • explain what a reduction operation is

  • explain why you can go back and forth between totals and averages, but not between totals and medians / modes.

  • explain why the median is invariant under monotonic transformations, while the mean is only invariant to positive affine transformations.

Materials#

Video with English subtitles:

Download the slides.

Video with German subtitles:

(turn subtitles on in the bottom right corner of the video)

Contents