Final answer:
The first data set has a wider spread indicated by a greater IQR, which means Data Set A has more variability and a larger spread than Data Set B.
Step-by-step explanation:
To determine which data set has a larger spread, we can reference the fact that the first data set has the wider spread for the middle 50 percent of the data and a greater interquartile range (IQR) than the second data set. The IQR is a measure of variability that indicates the range of the middle 50 percent of the data.
Given that Data Set A has a larger IQR than Data Set B, it means there is more variability in Data Set A compared to Data Set B. Thus, the correct answer to the question comparing Data Set A and Data Set B is D. Data Set A has a larger spread of data.