The average of even numbers from 1 to 20 Is

Options

A. 12
B. 11
C. 10
D. 110

Answer

To find the average of even numbers from 1 to 20, we can follow these steps:

### Step 1: Identify the even numbers from 1 to 20.
The even numbers between 1 and 20 are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

### Step 2: Calculate the sum of these even numbers.
Now, we need to add these numbers together:
\[ 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 \]

Calculating this step-by-step:
- \( 2 + 4 = 6 \)
- \( 6 + 6 = 12 \)
- \( 12 + 8 = 20 \)
- \( 20 + 10 = 30 \)
- \( 30 + 12 = 42 \)
- \( 42 + 14 = 56 \)
- \( 56 + 16 = 72 \)
- \( 72 + 18 = 90 \)
- \( 90 + 20 = 110 \)

So, the sum of the even numbers is \( 110 \).

### Step 3: Count the number of even numbers.
The even numbers from 1 to 20 are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
There are a total of 10 even numbers.

### Step 4: Calculate the average.
The average is calculated by dividing the sum of the numbers by the count of the numbers:
\[ \text{Average} = \frac{\text{Sum of even numbers}}{\text{Count of even numbers}} = \frac{110}{10} = 11 \]

### Final Answer:
The average of even numbers from 1 to 20 is **11**.

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