Final answer:
The gasoline price statistics are as follows: the minimum price is 1.61, Quartile 1 is 1.77, the median is 1.84, Quartile 3 is 2.025, and the maximum price is 2.11.
Step-by-step explanation:
To calculate the minimum, quartiles, median, and maximum gasoline prices in seven states, we first need to order the prices from least to greatest.
The ordered prices are: 1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11.
Minimum: The smallest value is 1.61.
Quartile 1 (Q1): This represents the 25th percentile. Since there are seven data points, Q1 is the average of the second and third values: (1.75 + 1.79) / 2 = 1.77.
Median: With an odd number of values, the median is the middle number, which is 1.84.
Quartile 3 (Q3): This is the 75th percentile. It is the average of the fifth and sixth values: (1.96 + 2.09) / 2 = 2.025.
Maximum: The highest value is 2.11.