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I have added a layer without spatial reference to a Blank Map document.

Which coordinate system is the data frame set to?

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    Welcome to GIS SE! As a new user please take the tour to learn about our focused Q&A format. A good question should include a degree of research and attempt. What happened when you tried adding your own no spatial referenced layer to ArcMap? – Midavalo Feb 21 '18 at 4:51
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To determine this just add a shapefile with no PRJ file to a Blank Map, and then check the Coordinate System tab of the Properties for the Layers data frame to see that it is:

No coordinate system.

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