Question

Why is standard deviation not a measure of central tendency?

Answer 1

A measure of central tendency is one value that can represent the total population and act like the central gravity towards which all the other values move.
Explanation:
Standard deviation - as the name suggest is a measure of the deviation. Deviation means change or distance. But change is always followed by the word 'from'. Hence standard deviation is a measure of change or the distance from a measure of central tendency- which is normally the mean. Hence, standard deviation is different from a measure of central tendency.