Final answer:
The value not included in the five-number summary for the box plot of the given data is 11, as the five-number summary consists of the minimum, first quartile, median, third quartile, and maximum values.
Step-by-step explanation:
The student is tasked with identifying which value is not part of the five-number summary for creating a box plot of the provided dataset: {5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}. The five-number summary includes the minimum value, Q1 (first quartile), median (Q2 or second quartile), Q3 (third quartile), and the maximum value. First, we organize the data in ascending order: {1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27}. The minimum value is 1, the maximum is 27. The median is the middle value, which is 9. The first quartile (Q1) is the median of the lower half, which in this case is 5, and the third quartile (Q3) is the median of the upper half, which is 18. According to the analysis, answer (c) 11 is the correct choice since it is not part of the five-number summary.