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Mean, median and mode are all valid measures of central  tendency, but under different situations, some measures of tendency  become more appropriate to use than others. The different situations  are when the populations are not uniform, that is when you use them  separately according to the one that is suitable for that particular  instance (Park, 2015). 

 One can use mean/ median or mode in  a population that is uniform. A normal population will consist of same  people with the same goal to achieve. An example of such population is  students. In class, the measures of central tendency will be used to  grade students after the results and get their mean. Another  characteristic of a population that we can use the measures of central  tendency is where the population is non-uniform regarding age, height,  weight, etc. In such a situation, if we need to get a value that will  be applied to that population, we need to get a normal number that  will take care of the smallest and the biggest. The measure of central  tendency will be mean. The mean will be the average of the total  number of that population (Cuevas, 2014).

 The other characteristic of a population that you can use  measures of central tendency will be the gender. Regarding a gender,  you may find that a certain gender is dominant. The number of males  may be higher than that of females. In this case, the mode is used to  know the type of gender that is high in number. Mode gives the highest  number of an element that is repeated most (Park, 2015).

Reference

Cuevas, A. (2014). A partial overview of the theory of statistics  with functional data. Journal of Statistical Planning and Inference,  147, 1-23.

Park, H. M. (2015). Univariate analysis and normality test using  SAS, Stata, and SPSS.

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