At first, I want to say, I know that mean is outlier sensitive.
I have to talk about the lifestyle of the students, where the data is quantitative. Let's say I have to talk, how much time a student spend in the classroom (A), how much time a student spend in library (B) etc. Some of the data set (e.g. A) contains outlier. Since I believe that extreme users are representative of the population who does/uses extremely, I do not want to remove outliers and I want to write about the lifestyle of the students using the mean value without removal of outliers.
What creates the problem?
This paper says mean is outlier sensitive and many other articles says, you should remove outliers when calculating mean. However, I have never read a research paper where researchers have talked using median value, at time of talking lifestyle. For instance: I have never read a paper where researchers said "students spend 1 hour in the library" where 1 hour was median value.
I will show median values for each type of data (e.g. spending time in library, spending time in classroom) along with mean value in the table. Without removal of outliers, will it reasonable if I talk about the lifestyle of the students in everywhere except the table using only mean value?
Thanks in advance!