Statistical methods of measuring the distribution of income have beenrninvestigated as far as computing facility is available. The data set utilizedrnin this study is the sub-san~le income data of the agricultural sedentaryrnpopulation of Ethiopia excluding Tigrai and Eritrea. The data were collectedrnby the Central Statistics Authority and covers a period of one year, fromrnMay 1981 to April 1982.rnIn particular, among others, en~rical results for four inequality measures,rnnamely, Gini cofficient, Theil's entropy index, Relative mean deviation andrnlogartlDllic variance have been obtained. moreover the liability of the lognomal andrnthe pareto distributions as a mathematical discription of the i-;;;.ome data underrnconsideration have been checked. Based on the computed results, some conclusionsrnare made