Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
To find the median, we need to arrange the numbers in each class in ascending order.
Class 1: 0, 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Since there are 16 numbers in each class, the median is the average of the 8th and 9th numbers in each class.
For Class 1, the median is (5 + 5) / 2 = 5.
For Class 2, the median is (4 + 5) / 2 = 4.5.
Class 1 has a higher median number of books read during the summer.