Find the median of first 10 even numbers

Answer

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

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

### Step 2: Count the number of terms
We have a total of 10 terms (even numbers).

### Step 3: Determine if the number of terms is odd or even
Since we have 10 terms, which is an even number, we will use the formula for finding the median in a dataset with an even number of terms.

### Step 4: Use the median formula for even numbers
The formula for finding the median when the number of terms \( n \) is even is:
\[ \text{Median} = \frac{\text{n/2 th term} + \text{(n/2 + 1) th term}}{2} \]
Here, \( n = 10 \).

### Step 5: Calculate the positions of the terms
Now, we calculate:
- \( n/2 = 10/2 = 5 \)
- \( n/2 + 1 = 5 + 1 = 6 \)

### Step 6: Identify the 5th and 6th terms
From the list of even numbers:
- The 5th term is \( 10 \)
- The 6th term is \( 12 \)

### Step 7: Calculate the median
Now, we substitute these values into the median formula:
\[ \text{Median} = \frac{10 + 12}{2} = \frac{22}{2} = 11 \]

### Conclusion
Thus, the median of the first 10 even numbers is:
\[ \text{Median} = 11 \]

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