The median of the first 12 prime numbers is

Options

A. 12
B. 13
C. 14
D. 15

Answer

To find the median of the first 12 prime numbers, we can follow these steps:

### Step 1: Identify the first 12 prime numbers.
The first 12 prime numbers are:
1. 2
2. 3
3. 5
4. 7
5. 11
6. 13
7. 17
8. 19
9. 23
10. 29
11. 31
12. 37

### Step 2: Count the number of terms.
We have a total of 12 prime numbers.

### Step 3: Determine if the number of terms is even or odd.
Since 12 is an even number, we will use the formula for finding the median of an even set of numbers.

### Step 4: Use the median formula for an even number of terms.
The formula for the median when the number of terms (n) is even is:
\[ \text{Median} = \frac{\text{n/2 th term} + \text{(n/2 + 1) th term}}{2} \]

### Step 5: Calculate the required terms.
Here, \( n = 12 \):
- \( n/2 = 12/2 = 6 \)
- \( n/2 + 1 = 6 + 1 = 7 \)

So we need to find the 6th and 7th terms in our list of prime numbers.

### Step 6: Identify the 6th and 7th terms.
From our list:
- The 6th term is 13.
- The 7th term is 17.

### Step 7: Calculate the median.
Now we can substitute these values into the median formula:
\[ \text{Median} = \frac{13 + 17}{2} = \frac{30}{2} = 15 \]

### Conclusion:
The median of the first 12 prime numbers is **15**.

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