Tolerance analysis is a field of engineering that focuses on analyzing and quantifying the variations in dimensions and properties of components and parts in a mechanical system. In other words, it involves studying how variations in manufacturing processes and materials affect the overall performance and functionality of a product. Tolerance analysis helps design engineers ensure that the components of a system fit together properly and meet the desired specifications and performance criteria. By considering the potential variations in dimensions and properties, engineers can design products that are more reliable, cost-effective, and easier to manufacture.