To find the median age of the band members, we can follow these detailed steps:
1. List the ages:
The ages of the band members are: 17, 21, 15, 19, 18, 21.
2. Sort the ages in ascending order:
The sorted list of ages is: 15, 17, 18, 19, 21, 21.
3. Determine the number of ages (n):
In this case, there are 6 ages in the list.
4. Identify whether the number of ages is even or odd:
Since we have 6 ages (which is an even number), we proceed to find the average of the two middle elements.
5. Locate the middle elements:
The two middle ages in the sorted list are the 3rd and 4th elements.
These ages are 18 and 19.
6. Calculate the median:
For an even number of elements, the median is the average of the two middle elements.
[tex]\[
\text{Median} = \frac{18 + 19}{2} = \frac{37}{2} = 18.5
\][/tex]
Therefore, the median age of the band members is [tex]\( 18.5 \)[/tex].
