I very much enjoyed reading your comprehensive coverage regarding the various measurements of central tendency in statistics.
As stated by Sweet & Grace-Martin (2012), it is the responsibility of the researcher/data-analyst to pick the best measure of central tendency, depending upon the context of the data/research design. Boone & Boone (2012) noted that likert-scale data often utilizes both median and mode to calculate meaningful measurements of central tendency.
What do you believe is a good marker of deciding whether to use either the median or mode in likert-scale data (such as in a survey)?