Database management systems enable the storage of different data types in tables. MySQL supports numeric, string, and temporal data types. Numeric types include integers of various sizes for different value ranges and storage needs, floating-point types for approximate values, and fixed-point decimals for exact values. String types can be fixed-length or variable-length and include character and binary types. Temporal types store dates, times, or combined date-times. Each type has attributes that specify how MySQL handles values of that type.