min = 5
To find Q1 (the first quartile), we need to find the median of the lower half of the data set. First, let's arrange the data in ascending order:
5, 6, 8, 12, 14, 15, 15, 18, 20, 22, 25, 30, 31
Q1 = 12
To find the median, we need to find the middle value of the data set. Since there are 13 values in the data set, the median is the 7th value.
median = 15
To find Q3 (the third quartile), we need to find the median of the upper half of the data set.
Q3 = 22
max = 31
So, the five-number summary is:
min = 5
Q1 = 12
median = 15
Q3 = 22
max = 31
