Mobile Grid is a branch of Grid computing where the infrastructure includes mobile devices. Because mobile devices are resource-constrained, mobile Grid should provide new scheduling strategies considering its environment. This paper presents a group-based fault tolerance scheduling algorithm. The algorithm classifies mobile devices into several groups considering characteristic parameters of mobile Grid. Then, it uses an adaptive replication algorithm for enduring faults in an active manner. The experimental results show that our scheduling algorithm provides a superior performance in terms of execution times to the one without considering grouping and fault tolerance. Throughout the experiments, we found that the active fault tolerance (i.e., replication) is essential to improving performance in mobile Grid.