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, we first need to arrange the numbers in each class in ascending order.
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
Since both classes have an odd number of students (15), the median will be the middle number.
For Class 1, the median is the 8th number in the ordered list, which is 5. Therefore, the median number of books read by Class 1 is 5.
For Class 2, the median is the 8th number in the ordered list, which is 3. Therefore, the median number of books read by Class 2 is 3.
Comparing the two medians, we can see that Class 1 has a higher median number of books read during the summer.