What is the mean of first 12 prime numbers?

Answer

To find the mean of the first 12 prime numbers, we will 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: Calculate the sum of these prime numbers.
Now, we will add these numbers together:
- 2 + 3 = 5
- 5 + 5 = 10
- 10 + 7 = 17
- 17 + 11 = 28
- 28 + 13 = 41
- 41 + 17 = 58
- 58 + 19 = 77
- 77 + 23 = 100
- 100 + 29 = 129
- 129 + 31 = 160
- 160 + 37 = 197

So, the sum of the first 12 prime numbers is **197**.

### Step 3: Count the total number of prime numbers.
The total number of prime numbers we have is **12**.

### Step 4: Calculate the mean.
The mean is calculated using the formula:
\[ \text{Mean} = \frac{\text{Sum of all terms}}{\text{Total number of terms}} \]

Substituting the values we have:
\[ \text{Mean} = \frac{197}{12} \]

Now, performing the division:
\[ \text{Mean} = 16.4167 \]

Rounding this to two decimal places, we get:
\[ \text{Mean} \approx 16.42 \]

### Final Answer:
The mean of the first 12 prime numbers is approximately **16.42**.

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