Dynamically typed languages are programming languages that determine the type of a variable at runtime rather than at compile time. This means that you can assign different types of values to the same variable without needing to declare its type explicitly. Examples of dynamically typed languages include Python, JavaScript, and Ruby. In these languages, type checking occurs while the program is running, allowing for greater flexibility and ease of use. However, this can also lead to runtime errors if a variable is used in a way that is inconsistent with its current type, making debugging potentially more challenging compared to statically typed languages.