Asian Journal of Probability and Statistics

This paper fits a normal probability distribution to the heights of Students of the Akwa Ibom State University. Normal probability distribution is a well-known continuous probability model for a real-valued random variable. Goodness of fit tests indicate whether or not it is reasonable to assume that a random sample comes from a specific probability distribution. A sample of 617 Students was drawn from the Medical Centre of the Institution’s Main Campus, Ikot Akpaden, Akwa Ibom State. Some exploratory data analyses were carried out to observe the behaviour of the data set graphically. A chi-square test is used to ascertain whether or not the heights of students are normally distributed. From the graphical displays and the chi-squared test results, it is observed that the heights follow a normal distribution, even though the maximum likelihood estimates of the parameters are quite influential on the results at \(\alpha\) \(\geq\) 0.91% significance level. The heights of students of Akwa Ibom State University follow a normal distribution using the chi-squared test. This result is also supported by the graphs of the simulated and real data obtained from the Medical Centre of the Akwa Ibom State University.