Easiest with a IR contactless thermometer, if you can borrow or buy one.
Get a sheet of graph paper, or download and print one, or simply draw lines on a sheet of paper, 1cm square would be best.
Divide you wall into lines 500mm apart horizontally, likewise 500mm apart vertically, which will produce squares all over your wall. You can simply do it without marking the wall, by simply measuring where the centres of the squares are. Measure the temperatures at the middle of every square and write the values in the appropriate square on the graph paper. No point in trying to do this on a sunny day, with the sun streaming in the window, warming the wall up - you will get increased temperatures where the sunlight lands.
Reproduce the temperature values you have noted, in a follow up post to this.