Final answer:
The mean of the given data set is 13.4.
Step-by-step explanation:
The mean of a data set is calculated by finding the sum of all the values in the data set and dividing by the total number of values. In this case, the given data set is 9.3, 11.7, 112, 13, 9.9, 124, 12, 11.3, 9.2, 12.7, and 7.2. To find the mean, we add up all these values and divide by 11 (the total number of values):
(9.3 + 11.7 + 112 + 13 + 9.9 + 124 + 12 + 11.3 + 9.2 + 12.7 + 7.2) / 11 = 13.436363636363635
Rounding to one decimal place, we get a mean of approximately 13.4. Therefore, the correct answer is a) 11.4.