To find the median of the list of numbers \( 3.19, 3.49, 3.79, 3.89, 3.99, 4.19 \), follow these steps:
1. Arrange the Numbers in Ascending Order (if not already):
The given list is already in ascending order:
[tex]\[
3.19, 3.49, 3.79, 3.89, 3.99, 4.19
\][/tex]
2. Count the Total Number of Values:
There are 6 numbers in the list.
3. Determine if the Number of Values is Even or Odd:
Since there are 6 values, and 6 is an even number, the median will be the average of the two middle numbers.
4. Locate the Middle Numbers:
For an even number of values, there are two middle numbers. In this list, the two middle numbers are the 3rd and 4th elements:
[tex]\[
3.79 \quad \text{and} \quad 3.89
\][/tex]
5. Calculate the Median:
The median is the average of these two middle numbers. So, we add the two middle values together and divide by 2:
[tex]\[
\text{Median} = \frac{3.79 + 3.89}{2}
\][/tex]
6. Perform the Addition and Division:
[tex]\[
3.79 + 3.89 = 7.68
\][/tex]
[tex]\[
\frac{7.68}{2} = 3.84
\][/tex]
Thus, the median of the list is [tex]\( \boxed{3.84} \)[/tex].
