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Research work is motivated by variable data from an industrial process and its demand for improving the existing available statistical methods. Industries and other similar environments employ statistical methods for monitoring, controlling and improving the quality characteristics of their product and or process. Engineer equipped with support of statistical methods and Statistician provoked by engineering problems can provide spectacular results. Research work contributes the literature of control charts by two new charts, single process variable chart; a EWMA type and their multivariate extensions. The new EWMA type chart is called Modified EWMA chart, because it is modification of EWMA. MOEWMA chart is a quality control chart for auto correlated normal process applied directly on the original observations unlike all other charts for the purpose, which are applied to transformed /residual observations. This chart monitors small as well as abrupt shifts in the process simultaneously. Data provide immense challenge and directs us to identify pitfall in the statistical methods those when handled contribute to the statistical literature positively.