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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.

1 answer

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

Class 1: Responses: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6

Sorted in ascending order: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10

Since there are 15 responses (an odd number), the median is the middle value, which is the 8th value in the ordered list.

Median for Class 1: 5

Class 2: Responses: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2

Sorted in ascending order: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10

Again, since there are 15 responses (an odd number), the median is the middle value, which is the 8th value in the ordered list.

Median for Class 2: 3

Now we can summarize the results:

  • 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 Answers:

  • 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.