Question

The mean of first 6 even natural numbers is

• A. 4
• B. 6
• C. 7
• D. none of these

Hint:

The mean of the first \(n\) even natural numbers is simply \(n+1\). Here, \(n=6\), so the mean is \(6+1=7\). This shortcut works because these numbers form an arithmetic progression.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
We need to find the mean (average) of the first 6 even natural numbers. First, we must identify these numbers.

Step 2: Key Formula or Approach:
1. List the first 6 even natural numbers.
2. Calculate their sum.
3. Divide the sum by the count of the numbers (which is 6).
\[ \text{Mean} = \frac{\text{Sum of numbers}}{\text{Count of numbers}} \]

Step 3: Detailed Explanation:
The first 6 even natural numbers are: 2, 4, 6, 8, 10, 12.
Calculate their sum:
\[ \text{Sum} = 2 + 4 + 6 + 8 + 10 + 12 = 42 \] Calculate the mean:
\[ \text{Mean} = \frac{42}{6} = 7 \]

Step 4: Final Answer:
The mean of the first 6 even natural numbers is 7.