The range of a data set is calculated by subtracting the smallest number (minimum) from the largest number (maximum) in the set.
The first step to accomplish this is to find the maximum value in the data set. From the given data {43.2, 46.8, 44.5, 46.8, 44.2, 41.9, 45.8, 46.9, 41.2, 46.8, 44.1}, the maximum value is 46.9.
The next step is to find the minimum value in the data set. From the same data set, the minimum value is 41.2.
Then, we subtract the minimum from the maximum to get the range of the data set. This is calculated as follows:
Range = Maximum - Minimum
Range = 46.9 - 41.2
Range = 5.7
Therefore, the range of the given data set is.
Answer: 5.7