Poverty is one of the major challenges facing democratic South Africa. This article focuses on poverty in South Africa, using the Income and Expenditure Survey conducted in 1995 by Statistics South Africa (formerly the Central Statistical Service). In the first part, different approaches that can be followed in the measurement of poverty are discussed. In the second part, Sen's approach to the measurement of poverty and the Chi-square Automatic Interaction Detection (CHAID) technique have been used to analyse the above data. CHAID is used to explore the relationship between the poverty status of the household (ie poor or non-poor) and other household characteristics. These variables can then be used as predictors of poverty status.