Find the median of first 7 prime numbers.

Answer

To find the median of the first 7 prime numbers, follow these steps:

### Step 1: List the first 7 prime numbers.
The first 7 prime numbers are:
1. 2
2. 3
3. 5
4. 7
5. 11
6. 13
7. 17

### Step 2: Determine the number of terms (n).
Here, we have \( n = 7 \) (since there are 7 prime numbers).

### Step 3: Identify if n is odd or even.
Since \( n = 7 \) is odd, we will use the formula for the median of an odd set of numbers.

### Step 4: Use the median formula for odd n.
The median for an odd number of terms is given by the formula:
\[ \text{Median} = \text{Term at position } \left(\frac{n + 1}{2}\right) \]
Substituting \( n = 7 \):
\[ \text{Median} = \text{Term at position } \left(\frac{7 + 1}{2}\right) = \text{Term at position } 4 \]

### Step 5: Find the 4th term in the list of prime numbers.
From our list:
1. 1st term: 2
2. 2nd term: 3
3. 3rd term: 5
4. 4th term: 7
5. 5th term: 11
6. 6th term: 13
7. 7th term: 17

The 4th term is 7.

### Step 6: State the median.
Thus, the median of the first 7 prime numbers is:
\[ \text{Median} = 7 \]

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