The aim of this research is to investigate the skills of the chemistry students from the Ibn Al-Haytham Education college of pure sciences in Baghdad in understanding and constructing graphical representations of data. The research sample consisted of (101) male and female students in their fourth year of study during the 2016-2017 academic year. This sample represents 71% of the total number of students in this group.The research methodology used consisted of two parts relating to 19 issues. The first part is an objective multi choice type of test to measure the student’s skill in selecting the right representation of specific subject graph amongst many provided. The second part concentrated on measuring the student’s skill in construction graphs from data as well as interpreting them. The results of the test were verified for their stability and consistency including psychometric characteristics using Cronbach’s Alpha formula which produced a good coefficient score of 0.86. The results of the test indicate low graphing skill amongst the majority of students since only 36.238 % of the tested students have the skills to understand, interpret and construct graphs.