Which language type allows variables to be assigned data types at run time?

Dynamically typed languages allow variables to be assigned data types at run time, which means that the data type of a variable can change as the program executes. This flexibility enables developers to write code without having to specify the data type of every variable initially, making the code often easier and quicker to write. This type of typing can lead to advantages in terms of development speed and reducing boilerplate code, but it can also introduce challenges such as runtime errors when operations are performed on variables that have unexpected data types.

In contrast, statically typed languages require that the data type of a variable be declared at compile time, meaning that the type is fixed once set, resulting in less flexibility during execution. Strongly typed languages enforce strict type rules, preventing operations between incompatible types, while weakly typed languages allow more leniency in type conversions, which does not necessarily relate to dynamic assignment of types at run time. Therefore, dynamically typed is indeed the correct category that specifically pertains to the ability to assign data types to variables during program execution.