median

[Helge Gabert]

I was a little surprised to see that median, for an even number of elements in a list, both in Home and CAS, returns the smaller element of the two middle elements of the ordered list, e.g.,

median({1,2,3,4}) returns 2.

But, as far as I know, the statistical convention is to return the arithmetic mean of the ordered, two middle elements, so what should be returned for the above example is 2.5 in Home, and 5/2 in CAS.