Locate the scale of the map, often found in one of the corners of the map, such as within an inset box. It should include words such as "1 inch = 100 miles."
Measure the distance between any two points of the points on your list with a ruler. For example, if your list has New York, Chicago and Detroit, first measure the distance between New York and Chicago. You might get 7 1/8."
Multiply this result by the scale factor. In the example, 7 1/8 * 100 = 712.5 miles. This is the distance from New York to Chicago.
Repeat steps 2 and 3 with each pair of points.