I found this answer below however I have a 2D data set.

http://mathematica.stackexchange.com/questions/7408/listplot-with-plotmarkers-determined-by-point

The first plot answer by KGLR (answered Jun 24 '12 at 14:40) looks suitable. However, I've a two dimension data set data = {{1.704, 0.931508}, {3.6, 2.7256}, {4.568, 3.89257}, {6.016, 5.77674}, {5.92, 7.05187}, {6.0904, 7.05187}, {6.72, 6.23791}, {7.52, 6.23791}, {6.96, 7.16941}, {6.96, 7.16941}, {7.12, 7.16941}, {6.56, 7.16941}, {6.72, 7.16941}}. This list represents x-axis versus y-axis. I require to adapt the solution  to plot the data. I would prefer a different colour scheme to HUE, and also add legend, with x and y axis labels