Since the number of terms (n) is odd, the median is the value at the ((n+1)/(2))^(th) position in the ordered list.

The median of the first nine prime numbers is :

Answer: 11

Step-by-step solution

Step 1: Identify the first nine prime numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. We list the first nine prime numbers in ascending order.

Step 2: Determine the number of terms

We have identified 9 prime numbers, so the total number of terms in our dataset is 9.

Step 3: Find the position of the median

Since the number of terms ( $n$ ) is odd, the median is the value at the $\left(\frac{n+1}{2}\right)^{\text{th}}$ position in the ordered list.

Step 4: Identify the median value

Looking at our ordered list of prime numbers, the 5th term is 11. Therefore, 11 is the median.