Question

The below is a list of the number of books students read during the summer in two classes. class one is 9.5

Class 1: 1 5 13 13 6 16
Class 2: 12 13 6 23 27 13 5

What is the difference of the two medians? Write your answer as a decimal.
*
1 point

Answer 1

To find the difference between the medians of the two classes, we first need to determine the median for each class.

**Class 1:**
The data given is: 1, 5, 13, 13, 6, 16

First, we will arrange the data in ascending order:
1, 5, 6, 13, 13, 16

Since there are 6 numbers (an even set), the median will be the average of the two middle numbers:
Middle numbers are the 3rd and 4th terms: 6 and 13.

Median of Class 1 = (6 + 13) / 2 = 19 / 2 = 9.5

**Class 2:**
The data given is: 12, 13, 6, 23, 27, 13, 5

First, arrange the data in ascending order:
5, 6, 12, 13, 13, 23, 27

Since there are 7 numbers (an odd set), the median will be the middle number, which is the 4th term:
Median of Class 2 = 13

**Difference of the two medians:**
Median of Class 1 - Median of Class 2 = 9.5 - 13 = -3.5

Thus, the difference of the two medians is:

\[-3.5\]