Final answer:
To determine the minimum, maximum, and quartile values, arrange the given values in ascending order. The minimum value is 30 and the maximum value is 97. The first quartile is 75 and the third quartile is 87.
Step-by-step explanation:
To determine the minimum, maximum, and quartile values, we need to put the given values in order from least to greatest: {30, 78, 72, 75, 87, 83, 92, 80, 97}. After arranging them in ascending order, the list becomes {30, 72, 75, 78, 80, 83, 87, 92, 97}.
The minimum value is 30 and the maximum value is 97. To find the quartiles, we use the median. The first quartile (Q1) is the median of the lower half of the data, so it is the value in the middle of the first 4 numbers. Therefore, Q1 = 75. The third quartile (Q3) is the median of the upper half of the data, so it is the value in the middle of the last 4 numbers. Thus, Q3 = 87.