Tolerance in engineering allows for the fact that there are variations between a minimum and a maximum in a measured value. It is common practice to calculate the likelihood for a measured value to be between specific ranges.

Mean (μ) Standard Deviation (σ) Value X1 [for p(x ≤ X1) or p(x ≥ X1)] Lower Bound [for p(X1 ≤ x ≤ X2)] Upper Bound [for p(X1 ≤ x ≤ X2)] Calculate