Question

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

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

What is the median of Class 1? Write your answer as a decimal.

Answer 1

To find the median of Class 1, we first need to arrange the numbers in ascending order.

The data for Class 1 is:
1, 5, 13, 13, 6, 16.

Arranging these numbers in ascending order gives us:
1, 5, 6, 13, 13, 16.

Since there are six observations (an even number), the median will be the average of the two middle numbers. The two middle numbers in this sorted list are the third and fourth numbers:

- 3rd number: 6
- 4th number: 13

Now, we calculate the average of these two middle numbers:
\[
\text{Median} = \frac{6 + 13}{2} = \frac{19}{2} = 9.5
\]

Thus, the median of Class 1 is \( \boxed{9.5} \).