Statistical methods of measuring the distribution of income have been investigated as far as computing facility is available. The data set utilized in this study is the sub-san~le income data of the agricultural sedentary population of Ethiopia excluding Tigrai and Eritrea. The data were collected by the Central Statistics Authority and covers a period of one year, from May 1981 to April 1982. In particular, among others, en~rical results for four inequality measures, namely, Gini cofficient, Theil's entropy index, Relative mean deviation and logartlDllic variance have been obtained. moreover the liability of the lognomal and the pareto distributions as a mathematical discription of the i-;;;.ome data under consideration have been checked. Based on the computed results, some conclusions are made