Final answer:
The minimum value in the set is 30, and the maximum value is 97. The first quartile is 72, and the third quartile is 87.
Step-by-step explanation:
The minimum value in the given set of numbers is 30, which is the smallest number in the set. The maximum value is 97, which is the largest number in the set.
To find the quartiles, we need to arrange the numbers in ascending order: {30, 72, 75, 78, 80, 83, 87, 92, 97}. The first quartile, Q₁, is the median of the lower half of the numbers. In this case, it is the median of {30, 72, 75}, which is 72.
The third quartile, Q₃, is the median of the upper half of the numbers. In this case, it is the median of {83, 87, 92, 97}, which is 87.