What range of values can a Short Integer data type represent?

The correct answer, which states that a Short Integer data type can represent values from -32,768 to 32,767, aligns with the common definitions of data types in programming and database management. This range is determined by the fact that a Short Integer typically occupies 16 bits of memory. With 16 bits, you can have a total of 2^16 (which equals 65,536) distinct values.

Since Short Integers are often signed, meaning they can represent both positive and negative numbers, the range includes negative values as well. The calculation for the range is such that half of the values (32,768) are allocated for negative numbers (from -32,768 to -1) and half for positive numbers (from 0 to 32,767).

In contrast, other options suggest ranges that do not align with the conventional definition of a Short Integer. For instance, the ranges presented in the other options either exceed the 16-bit limit or misrepresent the signed capabilities of Short Integer data types. Understanding this standard range is crucial when designing databases and programming, as using incorrect data types can lead to data overflow or loss of information.