Final answer:
The incorrect statement about data frame objects is that elements within a row must be of the same data type. Dataframes require each column to contain a single data type, but different columns can store different types, and thus, rows can have mixed data types.
Step-by-step explanation:
The statement that is not true of data frame objects is that "within a row, each element must be of the same data type." In a data frame, it is characteristic that within a column, each element must be of the same data type, while different columns can contain different data types. Hence, within a row, elements can actually be of different data types, which is a typical feature of data frames making them versatile for data analysis.
Another true characteristic of data frames is that they resemble spreadsheets with rows and columns, where each column is of the same length, ensuring a tabular, two-dimensional structure.