Write a program which take in a list of real numbers (or integers), and then calculates and displays the median, the average and the sum of the numbers. Then the program should generate and display a new list containing the numbers in descending sorted order. Finally, the program should generate and display two new lists. The first should contain only the numbers that have both digits "1" and "5" in it. The second should contain the numbers with either digits "1" or "5". Regular expressions should be used for the final part.