



 
Hi Myrte, Suppose you have 5 data points, 1, 2, 3, 4 and 15. The median is 3 and the mean is \[\frac{1 + 2 + 3 + 4 + 15}{5} = \frac{25}{5} = 5\] so the median is smaller than the mean. Here I had four small numbers and one quite a bit larger. Suppose I change this to have 1 small number and four quite a bit larger. For example 1, 12, 13, 14 and 15. This time the median is 13 and the mean is \[\frac{1 + 12 + 13 + 14 + 15}{5} = \frac{55}{5} = 11\] and this time the median is larger than the mean. For another example look at my response to a question from Kaliela. Penny
 


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