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 first put the responses in order from least to greatest.
Class 1: 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
For Class 1, the median is the middle number, which is 5.
For Class 2, there are two middle numbers (4 and 5), so we take the average of those two numbers to get the median, which is 4.5.
Therefore, Class 1 has a higher median number of books read (5) than Class 2 (4.5).
To find the median number of books read by each class, we need to arrange the data in ascending order and then find the middle value.
For Class 1:
Arranging the data in ascending order: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
We have 15 numbers, so the middle value is the 8th number, which is 5.
For Class 2:
Arranging the data in ascending order: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
We have 15 numbers, so the middle value is the 8th number, which is 3.
Therefore, the median number of books read during the summer by Class 1 is 5, and the median number of books read during the summer by Class 2 is 3.
Class 1 has a higher median number of books read during the summer.