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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.
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1 answer

To find the median for each class, we first need to arrange the data for each class in ascending order.

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

To find the median:

  • There are 15 numbers in total (odd number of observations).
  • The median is the middle number, which is in position \( \frac{15 + 1}{2} = 8 \).

So the 8th number is 5. Therefore, the median for Class 1 is 5.

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

To find the median:

  • There are also 15 numbers in total (odd number of observations).
  • The median is the middle number, which is in position \( \frac{15 + 1}{2} = 8 \).

So the 8th number is 3. Therefore, the median for Class 2 is 3.

Summarizing 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.