Find the mean of first 10 even natural numbers.

Options

A. 10
B. 11
C. 12
D. 13

Answer

To find the mean of the first 10 even natural numbers, we can follow these steps:

### Step 1: Identify the first 10 even natural numbers.
The first 10 even natural numbers are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

### Step 2: Calculate the sum of these numbers.
Now, we need to add these numbers together:
\[ 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 \]
Calculating the sum:
- \(2 + 4 = 6\)
- \(6 + 6 = 12\)
- \(12 + 8 = 20\)
- \(20 + 10 = 30\)
- \(30 + 12 = 42\)
- \(42 + 14 = 56\)
- \(56 + 16 = 72\)
- \(72 + 18 = 90\)
- \(90 + 20 = 110\)

So, the total sum is \(110\).

### Step 3: Count the number of observations.
We have 10 even natural numbers.

### Step 4: Use the formula for mean.
The formula for mean is:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]
Substituting the values we have:
\[ \text{Mean} = \frac{110}{10} \]

### Step 5: Calculate the mean.
Now, we calculate:
\[ \text{Mean} = 11 \]

### Final Answer:
The mean of the first 10 even natural numbers is **11**.

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