Given any number of inputted scores, write a program that calculates an average.

After values are entered and the average is calculated, test the result to determine whether an A, B, C, D, or F should be recorded. The scoring rubric is as follows:

A—90–100; B—80–89; C—70–79; D—60–69; F < 60.

Your solution should include exception-handling techniques with a minimum of three catch clauses.