It is in general not possible to produce technical products having precisely predefined measures. Systematic and random deviations from nominal size cannot be avoided, and it is therefore necessary to define measurement tolerances. This book offers a comprehensive presentation of tolerance problems and their solution by statistical methods. All calculated solutions are presented in clear figure or graphical form. It is particularly appropriate for those working in the field of development and construction or in production and quality control, especially in mechanical engineering and related fields.It is in general not possible to produce technical products having precisely predefined measures. Systematic and random deviations from nominal size cannot be avoided, and it is therefore necessary to define measurement tolerances. This book offers a comprehensive presentation of tolerance problems and their solution by statistical methods. All calculated solutions are presented in clear figure or graphical form. It is particularly appropriate for those working in the field of development and construction or in production and quality control, especially in mechanical engineering and related fields.1 Introduction.- 2 Concepts.- 3 Probability Calculation.- 3.1 Definition of Probability.- 3.2 Addition Formula (OR Formula).- 3.3 Multiplication Formula (AND Formula).- 4 Probability Distributions of Quantitative Characteristics.- 4.1 General.- 4.2 Normal Distribution.- 4.3 Abnormal Probability Distributions.- 4.4 Random Spread for Mean Values.- 5 Mathematical and Graphical Evaluation of Dimensional Series.- 5.1 General.- 5.2 Mathematical Evaluation Without Classification.- 5.3 Graphical Evaluation Without Classification.- 5.4 Mathematical Evaluation of Classified Dimensional Series.- 5.5 Graphical Evaluation of Classified Dimensional Series.- 5.6 Other Statistical Characteristics.- 5.7 The Significance of Statistical Characteristics.- 6 Mixed Distributions.- 6.1 Types of Mixed Dl3-