Find the median of first 15 odd numbers

Answer

To find the median of the first 15 odd numbers, follow these steps:

### Step-by-Step Solution:

1. **Identify the First 15 Odd Numbers**:
The first 15 odd numbers are:
\[ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \]

2. **Count the Number of Terms (n)**:
Here, \( n = 15 \) because there are 15 odd numbers.

3. **Determine the Position of the Median**:
Since the number of terms \( n \) is odd, the median can be found using the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
Plugging in the value of \( n \):
\[ \text{Median Position} = \frac{15 + 1}{2} = \frac{16}{2} = 8 \]

4. **Find the 8th Term**:
Now, we need to find the 8th term in the list of the first 15 odd numbers:
\[ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \]
The 8th term is \( 15 \).

5. **Conclusion**:
Therefore, the median of the first 15 odd numbers is:
\[ \text{Median} = 15 \]