Application of x and S Control Charts to Investigate Students’ Performance
F. Z. Okwonu *
Department of Mathematics, Delta State University, Abraka, Nigeria.
N. O. Ogini
Department of Computer Science, Delta State University, Abraka, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper is coined to investigate the performance of students based on two semesters’ examination scores. The objective of this discussion is to determine whether the performance of students is based on each examination taken or performance is based on each semester. Being a variable data, we applied the 
and control charts to determine the performance of each student. The and control charts are practicable to determine students’ performance. The analysis revealed that an observation exceeding the upper control limit indicates that the student is an exceptional student in terms of the average. The contrary is also true for a student with an average below the lower control limit. In this case, a student whose average is below the lower control limit should be invited by the level adviser or the institutions counseling unit for counseling and possibly inquiry on his/her predicament, this will enable the analyst to proffer advise that will assist the student to overcome his/her academic challenges and possibly improve. In general, the analysis based on the control charts revealed that students’ performance fluctuates from semester to semester.
Keywords: Control charts, mean, standard deviation, test score, performance