Find the median of the first 10 even numbers.

Answer

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

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

### Step 2: Determine the total number of observations (n).
In this case, n = 10 (since there are 10 even numbers).

### Step 3: Use the formula for median.
The formula for finding the median in a dataset with an even number of observations is:
\[ \text{Median} = \frac{\text{(n/2)th observation} + \text{((n/2) + 1)th observation}}{2} \]
Here, since n = 10, we calculate:
\[ \frac{10}{2} = 5 \]
So, we need to find the 5th and 6th observations.

### Step 4: Identify the 5th and 6th observations.
From our list of even numbers:
- The 5th observation is 10.
- The 6th observation is 12.

### Step 5: Calculate the median.
Now, substitute the 5th and 6th observations into the median formula:
\[ \text{Median} = \frac{10 + 12}{2} = \frac{22}{2} = 11 \]

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

---