In this paper, on time series of fraud detected customers, the performance of XMR charts method is tested for fraud detection of those same customers. For detection of anomalies in time series of registered consumed energy, statistical method of XMR charts was chosen. In the article of Wheeler: ‘‘The Chart for Individual values’’, it is stated this method was found by Jennet in the year of 1942. In fifties years of the last century (more precisely, from1943 to 1953), XMR charts are frequently used in the General Electric Co. in Wembley. In 1980, Wheeler was started again to use this chart in chemical industry. The third and the fourth chapter, in more detail, will be described formation and interpretation of these charts.