It is assumed that the probabilistic model of the quality characteristics follows the new weighted exponential
distribution. Control charts based on each subgroup's extreme values are established. The constants in the control chart are
determined by the probability distribution of the extreme value order statistics of the sub-group and the sub-group size. The
proposed chart is thus referred to as an extreme values chart. A biased overall mean analysis method (ANOM for truncated
population) is used for the Lomax Distribution. Examples based on real time data are used to explain the findings.