Quandaries
and Queries 

Hi,


Hi Jan, Suppose that you are looking at the annual salary of professional hockey players and you calculate the mean X and the median Y. I would expect that X is considerably larger than Y since some hockey players make a great deal of money. If you were looking at the annual salary of teachers I would expect that the mean and median are quite close. The distribution of salaries of professional hockey players is skewed by the highly spayed players but the distribution of salaries of teachers is much more symmetric.
Here is an example with real data from Statistics Canada. The data is owned agricultural land by province in 2001.
Source: Statistics Canada, Census of Agriculture. The mean is 4,226,657.7 hectares per province, but the median is 2,189,190 hectares per province. The large amount of agricultural land in Saskatchewan and Alberta skews the data. While the mean is more than 4 million hectares, half the provinces have less than 2 million hectares of owned agricultural land. I hope this helps, 

