How are the measures of central tendency and measures of dispersion complementary?
Please see below.
Measures of central tendency are mean, mode and median. Even we have three types of mean, such as arithmatic mean, geometric mean and harmonic mean.
They tell us the central value around which the data is distributed. For example consider the data set
Note that smallest number is
Similarly, we can have two data sets with same median or mode, but their spread may be different, as mode is just the more frequent among data points and median is the value of central data point, when the samme is arranged in increasing or decreasing order.
Measures of dispersion tell us better about the kind of spread. In a way, mean deviation or standard deviation tell us more about the way data is spread.
For example, data set
What about two data sets
It is obvious that measures of central tendency and measures of dispersion are both important and complementary.