To evaluate the performance of the proposed Tukey-CUSUM chart for different choices of delta we have considered different probability distribution including . We have used Monte Carlo simulation with10 iterations to obtain the run length properties of the proposed and the competing charts with an acceptable relative error rate not exceeding 3% these measures are reported in Table I-V. Table I provides the arl measure, Table the MDRL, Table the SDRL,Table the IV(a-c) contains different percentiles points , Table V convers the overall measures including EQL, RARL and PCI under different distribution. Moreover, a graphical based on ARL of the there charts under consuderation is provided in Figure1