Abstract One of the most commonly used statistical method for determining and measuring the relationship between two or more variables is the correlation. Based on the random integers that have been collected for performing three fictitious studies in this report the correlation has been calculated between variables. The findings from correlation are then analyzed using methods including histogram, mean, standard deviation, and range to draw conclusions regarding the distributions of correlation coefficients (scores) obtained for each of the study, The conclusions from the study suggest that the mean correlation is close to 0 using random data. The statistical dispersion measured by standard deviation and range is higher for study#1 and lowest for study#2 which suggests that the sample size does have implications for analysis. The report also provides a descriptive discussion on the correlation method, its history, levels of variability, and psychology studies that may involve prediction of random variables. Introduction In this report, the findings of correlation and measures of statistical dispersion in the data derived from selection of random integers are presented. The report initiates with detailing the concept of correlation method and ways of interpreting the correlation. It then describes the level of variability and introduces studies which may involve prediction of random variables. The experiment that has been performed through selection of random integers is then described and results are presented along with a meaningful discussion. Correlation is a statistical method which can be used to determine the dependence between two or more variables. By dependence it is implied the relationship between two or more variables in which the value of one variable depends upon the values of another variable. The use of correlation in psychological studies is very common which are aimed at predicting and analyzing the relationship of human behavior and factors which have influence on it. The correlation studies result in the determination of the correlation coefficient which is a measure of the strength of the relationship between variables. The correlation coefficient values range between -1.00 to +1.00 which suggest that if the value of correlation coefficient is close to -1.00 then there is a negative correlation (relationship) between the selected variables and if the value of correlation coefficient is close to +1.00 then there is a positive correlation (relationship) between the selected variables. For a neutral correlation between variables the value of correlation coefficient has to be very close to 0. Therefore, in this way the correlation in psychology helps in understanding the association of variables under investigation. The history of correlation method can be traced back to the study during 1850-52 conducted by Sir Francis Galton, a statistician who was interested in heredity trends of intelligence found in humans and aimed at finding out the correlation between the intelligence levels of individuals with their predecessors. The spread or variability in the variable is referred to as statistical dispersion. The measure of the statisti