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 data 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
For Class 1:
Since there are 15 students, the median will be the average of the 7th and 8th numbers in the ordered list.
Median number of books read by Class 1: (5 + 5) / 2 = 5
For Class 2:
Since there are 15 students, the median will be the 8th number in the ordered list.
Median number of books read by Class 2: 3
Therefore, Class 1 has a higher median number of books read during the summer with a median of 5 compared to Class 2 with a median of 3.