Final answer:
After calculating the range for each data set by subtracting the smallest value from the largest, data set A with the numbers 5, 6, 75 has the largest range of 70.
Step-by-step explanation:
To determine which data set has the largest range, one must first calculate the range for each data set. The range of a data set is the difference between the largest and smallest numbers in the set.
- For data set A (5, 6, 75), the range is 75 - 5 = 70.
- For data set B (102, 105, 103, 110), the range is 110 - 102 = 8.
- For data set C (14, 19, 18, 35, 32, 38, 40), the range is 40 - 14 = 26.
- For data set D (1, 9, 2, 5, 4, 19, 2, 4, 3), the range is 19 - 1 = 18.
Clearly, data set A has the largest range of 70.