Consider the following dataset: 22, 29, 31, 30, 22, 24, 18, 20, 25. What is the third quartile’s value? Round to the nearest tenth if necessary.
To find the third quartile, we first need to arrange the data in ascending order:
18, 20, 22, 22, 24, 25, 29, 30, 31
There are 9 values in the dataset, so the median is the middle number, which is:
24
This divides the dataset into two halves. To find the third quartile, we need to find the median of the upper half of the dataset:
25, 29, 30, 31
Again, there are 4 values in this half of the dataset, so the median is the middle number, which is:
29.5
Therefore, the third quartile is 29.5.