Find the mean of first eleven natural numbers.

Answer

To find the mean of the first eleven natural numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the First Eleven Natural Numbers**:
The first eleven natural numbers are:
\[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \]

2. **Calculate the Sum of these Numbers**:
We need to find the sum of the first eleven natural numbers. This can be calculated as:
\[ \text{Sum} = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 \]
Alternatively, we can use the formula for the sum of the first \( n \) natural numbers:
\[ \text{Sum} = \frac{n(n + 1)}{2} \]
where \( n = 11 \):
\[ \text{Sum} = \frac{11 \times (11 + 1)}{2} = \frac{11 \times 12}{2} = \frac{132}{2} = 66 \]

3. **Count the Number of Terms**:
The number of terms \( n \) is 11.

4. **Calculate the Mean**:
The mean is calculated using the formula:
\[ \text{Mean} = \frac{\text{Sum of terms}}{\text{Number of terms}} = \frac{66}{11} = 6 \]

5. **Conclusion**:
Therefore, the mean of the first eleven natural numbers is:
\[ \text{Mean} = 6 \]