It would have been a Wednesday. My source for this was the following website.
http://ftp.rootsweb.ancestry.com/pub/roots-l/genealog/genealog.dateday
It helps to read the instructions before just jumping into it ;).
June 18th, 1954 fell on a Friday.
Sunday
Wednesday
8th June 1954 was a Tuesday.
June 14, 1954 was a Monday.
June 28 1954 was on a Monday.
June 22 1954 was a Tuesday.
June 17, 1954 was a Thursday.
June 15th, 1954 fell on a Tuesday.
June 10, 1954 fell on a Thursday.
June 13, 1954 fell on a Sunday.
June 25, 1954 fell on a Friday.