To find the second quartile, which is the median, we need to organize the data from the stem-and-leaf plot in ascending order and then locate the middle value. If there is an even number of data points, the median is the average of the two middle numbers.
Here is the ordered data set based on the stem-and-leaf plot:
10, 13, 13, 13, 14, 16, 16, 17, 20, 25, 26, 26, 26, 27, 30, 33, 33, 33, 35, 38, 41, 41, 44, 45, 45, 46
To find the median, we locate the middle value(s) in the data set. Since there are 26 values in the data set, the two middle values are the 13th and 14th values:
16 and 16
To find the second quartile, we take the average of these two values:
(16 + 16) / 2 = 16
Therefore, the second quartile, which is the median, of the data set is 16.