A miniscule amount of work was done for the assessment of measurement errors in the existence of missing data using a few sampling techniques, while no work was available for the assessment of correlated measurement errors in the existence of missing data. This study aimed to propose some general imputation methods and the corresponding resultant estimators in the existence of missing data under ranked set sampling, provided the data was contaminated with the correlated measurement errors. The mean square error of the developed resultant estimators was established to the first order approximation. The potency of the developed imputation methods and corresponding resultant estimators was assessed by a comprehensive simulation experiment relying on a hypothetically created population. The findings indicated that the proposed imputation methods and the resultant estimators surpassed the traditional imputation methods and the resultant estimators. In addition, a real data application of the proposed imputation methods was also provided.