Final answer:
The minimum value is 10, the maximum value is 17, the first quartile is 11, the median is 13, and the third quartile is 15.
Step-by-step explanation:
To determine the minimum, maximum, and quartile values, we need to first put the values in order from least to greatest. The given data set: {11, 13, 14, 11, 13, 14, 15, 11, 12, 15, 17, 10, 13}. After sorting the data, we have: {10, 11, 11, 11, 12, 13, 13, 13, 14, 14, 15, 15, 17}. The minimum value is 10 and the maximum value is 17.
To find the quartiles, we first need to find the median (Q2). In our sorted data set, the median is the middle value, which is 13. The first quartile (Q1) is the median of the lower half of the data. In our data set, the lower half is {10, 11, 11, 11, 12} and the median of this lower half is 11. The third quartile (Q3) is the median of the upper half of the data. In our data set, the upper half is {14, 14, 15, 15, 17} and the median of this upper half is 15.