Final answer:
The correct conclusion given the Mean Absolute Deviation values of 7°F for both towns is that the variability of temperatures in both towns was the same. MAD does not inform us about the actual temperatures, only about the spread of the data.
Step-by-step explanation:
The question revolves around the concept of Mean Absolute Deviation (MAD), which is a statistical measure used to describe the average absolute distance between each data point in a set and the mean of that set. In other words, it's a way to find out how spread out the values are within a dataset.
Given the Mean Absolute Deviation of Daily Low Temperatures in August for Town A and Town B is both 7°F, we can draw a conclusion about the spread or variability of the temperatures, but not the actual temperatures themselves. Consequently, option D is the correct choice since it states that 'The variability of temperatures in Town A and Town B was the same.' This indicates that the average amount the temperatures deviated from their respective means was identical in both towns, even though we don't know what the mean temperatures were or if they were the same in both towns.
Options A, B, and C suggest specific temperature values or consistency in values, which cannot be inferred from the MAD. Therefore, we cannot conclude that Town A and Town B had the same low temperatures, nor that the temperatures were the same every day or that the mean low temperatures were the same just from the MAD alone.