What is the average of first 12 natural numbers?

Options

A. `5.5`
B. 6
C. `6.5`
D. 7

Answer

To find the average of the first 12 natural numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the first 12 natural numbers**:
The first 12 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

2. **Calculate the sum of these numbers**:
We can use the formula for the sum of the first n natural numbers, which is given by:
\[ \text{Sum} = \frac{n(n + 1)}{2} \]
Here, \( n = 12 \). So, we substitute \( n \) into the formula:
\[ \text{Sum} = \frac{12(12 + 1)}{2} = \frac{12 \times 13}{2} = \frac{156}{2} = 78 \]

3. **Calculate the average**:
The average is calculated by dividing the sum by the number of terms. In this case, the number of terms is 12.
\[ \text{Average} = \frac{\text{Sum}}{n} = \frac{78}{12} \]
Now, we perform the division:
\[ \text{Average} = 6.5 \]

### Final Answer:
The average of the first 12 natural numbers is **6.5**.

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