Question

Why can the median of a data set differ from the mean?

Answer 1

Look at a simple example ...

Explanation:

Data = {1, 3. 95}

median = 3

mean `= (1+3+95)/3=33`

Unless the data is SYMMETRIC , expect the mean and median to always be different.

Symmetric data: {1, 3, 5}

median = mean = 3

hope that helped