Find the mean of first seven even natural numbers

Answer

To find the mean of the first seven even natural numbers, follow these steps:

### Step 1: Identify the first seven even natural numbers.
The first seven even natural numbers are:
- 2, 4, 6, 8, 10, 12, 14

### Step 2: Calculate the sum of these numbers.
Now, we will add these numbers together:
- \( 2 + 4 + 6 + 8 + 10 + 12 + 14 \)

Calculating the sum:
- \( 2 + 4 = 6 \)
- \( 6 + 6 = 12 \)
- \( 12 + 8 = 20 \)
- \( 20 + 10 = 30 \)
- \( 30 + 12 = 42 \)
- \( 42 + 14 = 56 \)

So, the total sum is \( 56 \).

### Step 3: Count the total number of even natural numbers.
We have identified that there are 7 even natural numbers in our list.

### Step 4: Use the mean formula.
The formula for mean is:
\[ \text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total numbers}} \]
Substituting the values we calculated:
\[ \text{Mean} = \frac{56}{7} \]

### Step 5: Perform the division.
Now, we divide \( 56 \) by \( 7 \):
- \( 56 \div 7 = 8 \)

### Conclusion:
The mean of the first seven even natural numbers is \( 8 \).

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