The $\overline{\mathrm{X}}$ control chart is usually used in statistical quality control (SQC) to observe the change in procedure mean. In this paper, $\overline{\mathrm{X}}$ control chart for Inverse Rayleigh Distribution (IRD) is designed under repetitive group sampling at lower record values. The width of the $\overline{\mathrm{X}}$ control limits and power is established by using the mean and standard deviation of the Inverse Rayleigh Distribution based upon lower record values. The designed control chart’s Average Run Length (ARL) is determined for different values of the shift, sample size, lower record, and specified ARL. The already existed $\overline{\mathrm{X}}$ control chart is used for the comparison and to propose a new $\overline{\mathrm{X}}$ control chart for Inverse Rayleigh Distribution.

这 $\overline{\mathrm{X}}$控制图通常用于统计质量控制（SQC）中，以观察程序平均值的变化。在本文中，$\overline{\mathrm{X}}$反向瑞利分布（IRD）的控制图是在重复的组采样下以较低的记录值设计的。的宽度$\overline{\mathrm{X}}$通过使用基于较低记录值的逆瑞利分布的均值和标准偏差来确定控制极限和功率。针对偏移，样本量，较低记录和指定的ARL的不同值，确定设计的控制图的平均游程长度（ARL）。已经存在$\overline{\mathrm{X}}$ 控制图用于比较并提出新的建议 $\overline{\mathrm{X}}$ 逆瑞利分布控制图。