Find the mean `(overline(x))` of first 5 even natural numbers.

Answer

To find the mean of the first 5 even natural numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the first 5 even natural numbers**:
The first five even natural numbers are 2, 4, 6, 8, and 10.

2. **Sum these numbers**:
We need to add these numbers together:
\[ 2 + 4 + 6 + 8 + 10 \]

3. **Calculate the sum**:
Let's calculate the sum step by step:
- First, add 2 and 4:
\[ 2 + 4 = 6 \]
- Next, add 6:
\[ 6 + 6 = 12 \]
- Then, add 8:
\[ 12 + 8 = 20 \]
- Finally, add 10:
\[ 20 + 10 = 30 \]
So, the total sum is 30.

4. **Count the total numbers**:
The total number of even natural numbers we are considering is 5.

5. **Calculate the mean**:
The mean (denoted as \( \overline{x} \)) is calculated by dividing the sum by the total number of values:
\[ \overline{x} = \frac{\text{Sum of the numbers}}{\text{Total numbers}} = \frac{30}{5} \]

6. **Perform the division**:
Now, divide 30 by 5:
\[ \frac{30}{5} = 6 \]

7. **Final answer**:
Therefore, the mean of the first 5 even natural numbers is 6.