This is in a high school gym, and I would assume dates from the 1950s or 60s. I would love to be able to date it more specifically, if there's anyone here who can.
These signs were likely created in 1962. That doesn't tell you when it was posted, but "early 1960s" is a fairly likely case, given that this was the height of the shelter marking program in the United States. However, they continued to be posted through the 1970s at least, so in principle it could be anytime in that window.