To use Census publications effectively, it is important to understand that data is always presented for specific geographical units. These can include the country, states, counties, cities, and other places. For the 1920 Census, some data is only available for places that meet a minimum population threshold of 25,000 or more, and this is generally true for the major "ethnic" data categories.
The following 1920 data is available for New Jersey. Please note that the hyperlinks below will provide you with a compressed (*.zip) file containing the complete text of Volume 2 of the 1920 Census. You'll need to extract the PDF files to view them. You only need to do this once to get all of the data listed below:
State-Level Data: Volume 2. Population, 1920. General report and analytical tables - See especially Chapter I: Color or Race, Nativity, and Parentage, and the following tables:
County-Level Data: Volume 2. Population, 1920. General report and analytical tables - See especially Chapter XVI: General Statistics of Population by Counties
Note that data on "Year of Immigration," "Mother Tongue of the Foreign White Stock," and "Foreign Born by Country or Continent of Birth" are not available for 1920 at the county level.
Data for Cities with Populations of 25,000 or More: Volume 2 Population 1920 General report and analytical tables
Among the cities with a population of 25,000 or more in 1920 are Newark, Jersey City, Paterson, Elizabeth, Trenton, Clifton, Camden, Passaic, East Orange, Bayonne, New Brunswick, Irvington, Perth Amboy, Hoboken, Plainfield, West New York, Kearny, Atlantic City, Montclair, and Orange.
The following tables are among the most useful for large cities: