Final answer:
The set with the smallest variability is Set C, which has the smallest range of just 4 units. This set's numbers increase by only 1 between successive numbers, unlike the larger increments found in the other sets.
Step-by-step explanation:
The question involves evaluating the variability of sets of numerical data, which is a mathematical concept. Variability refers to how spread out the numbers in a set are. To find the set with the smallest variability, we look at measures such as the range, variance, or standard deviation. Set A has numbers that are equally spaced, increasing by 2. Set B's numbers increase by 5, Set C by 1, and Set D by 5. Thus, Set C has the smallest range of 4, indicating the smallest variability.
When formulating a comprehensive question to guide respondents in identifying the set with the smallest variability, we might ask: 'Which of the following sets of numbers has the least amount of spread from the smallest to the largest value?' This way, respondents are directed to consider the range, which is a basic measure of variability.
- Set A: {10, 12, 14, 16, 18}
- Set B: {5, 10, 15, 20, 25}
- Set C: {8, 9, 10, 11, 12