Question

Data Information: Wage Income Statistics: Men VS Women Wage gap, by description, is the difference in salary among two groups of people. The description is associated with the practice of paying one gender more than the other. For many years there has been speculation and research done to determine if men are earning more income than women in the same job position. These speculations prompt the United States Senate and House of Representative to assemble Equal Pay Act of 1963 which prohibits discrimination of salary on account of gender (U.S. Equal Employment Opportunity Commission, n.d.). The act has been in existence since the late 60’s and today there is still talk about the difference in pay. In this assignment information from the data set on wage and wage earners will be analyzed by using descriptive statistic to determine if men in fact earn more than women. Measures of Center Tendency, Dispersion, and Skew The statistical data for wages between men and women support the hypothesis that men make more money than women. The central tendency of mean calculates that the average male earns $36, 492.92 annually while women only average $24,451.51. One could argue that the difference is caused by one male in the population making an extreme amount more than the rest of the population. The central tendency of median does agree with the information presented with the mean. The median income for the women of the population is $21,716. Although this number is close to the average, it still falls short of the men’s median income of $32,138. One central tendency we do not see with the population is the same amount of income being made for more than one subject so there is no mode with the data. Understanding the dispersion and skew of the data can show how different the sample data is from their individual means. The sample data from the men show that their dispersion is less than the women’s sample income. When we look at the coefficient of variation percentages one can see that the men’s income levels are closer than that of the women’s. Both the men and women’s income levels are skewed to the right. This shows that the majority median income is less than the mean and there are a few high levels of income. Looking at all aspects of the dispersion and central tendency and one could ultimately see that when one compares the sample data of income that the men do produce more than the women. I need help with "based on your skew value and histogram, discuss the best measures of central tendency and dispersion of your data. Justify your selection." Please help