Dimensional tolerance is related to but different from fit in mechanical engineering which is a designed in clearance or interference between two parts. A tolerance interval is a statistical interval within which with some confidence level a specified proportion of a sampled population falls.
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Tolerances are assigned to parts for manufacturing purposes as boundaries for acceptable build.
Limit fit tolerance wikipedia. More specifically a 100p1001a tolerance interval provides limits within which at least a certain proportion p of the population falls with a given level of confidence 1a.
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Limit Fit Tolerance