Find the median of first 10 even natural numbers.

Answer

To find the median 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: Count the number of terms (n).
Here, we have:
\[ n = 10 \]
Since \( n \) is even, we will use the formula for finding the median of an even set of numbers.

### Step 3: Use the median formula for an even number of terms.
The formula for the median when \( n \) is even is:
\[ \text{Median} = \frac{\text{(n/2)th term} + \text{((n/2) + 1)th term}}{2} \]
For our case:
\[ \text{Median} = \frac{\text{(10/2)th term} + \text{((10/2) + 1)th term}}{2} \]

### Step 4: Calculate the specific terms needed.
Calculating \( n/2 \):
\[ n/2 = 10/2 = 5 \]
So we need the 5th and 6th terms from our list of even numbers:
- The 5th term is \( 10 \)
- The 6th term is \( 12 \)

### Step 5: Substitute the terms into the median formula.
Now we can substitute the 5th and 6th terms into the median formula:
\[ \text{Median} = \frac{10 + 12}{2} \]

### Step 6: Calculate the median.
Now, we perform the addition and division:
\[ \text{Median} = \frac{22}{2} = 11 \]

### Final Answer:
The median of the first 10 even natural numbers is \( 11 \).

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