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?

Question

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 5.
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. explain how!!!!!

Answer 1

To find the median, we first arrange the data in ascending order.

Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
There are 15 values, so the median is the middle value, which is the 8th value in this case. The 8th value is 5.

Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Again, there are 15 values, so the median is the middle value, which is the 8th value. The 8th value is 3.

Therefore, Class 1 has a higher median number of books read during the summer because its median of 5 is higher than Class 2's median of 3.