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
(2 points)
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 number of books read by each class, we need to first arrange the data in order from least to greatest.
For Class 1:
0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Since there are 15 values, the median is the 8th value, which is 5.
For Class 2:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Since there are 15 values, the median is the 8th value, which is 3.
Therefore, the median number of books read by Class 1 is 5, and the median number of books read by Class 2 is 3. Class 1 has a higher median number of books read.