Statistics Unit Test

Question

13 of 1513 of 15 Items

Question
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.

Answer 1

To find the median, we first need to arrange the data in each class 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

Since both classes have an odd number of values (15 in total), the median is the middle value.

For Class 1, the median is the 8th value, which is 5.

For Class 2, the median is the 8th value, which is also 5.

Therefore, the median number of books read during the summer by Class 1 is 5 and the median number of books read by Class 2 is also 5. Both classes have the same median number of books read.