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

(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.
Skip to navigation

please give the right answer

Answer 1

To determine the median number of books read by each class, we first need to arrange the responses in ascending order for each class and then find the median.

Class 1 Responses

Given responses: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6

1. Sort the responses:
   0, 1, 1, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 8, 10

2. Find the median:
   Since there are 15 responses (an odd number), the median will be the middle value, which is the 8th number in the sorted list.
   The 8th number is 5.

Class 2 Responses

Given responses: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2

1. Sort the responses:
   0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10

2. Find the median:
   Again, with 15 responses, the median will be the middle value (8th number in the sorted list).
   The 8th number is 3.

Summary of Medians

• 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.

Final Answer

• 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.