What will be the average of even numbers between 11 to 63?

Options

A. 37.5
B. 47
C. 42
D. 37

Answer

To find the average of even numbers between 11 and 63, we can follow these steps:

### Step 1: Identify the even numbers between 11 and 63
The even numbers between 11 and 63 are:
- 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62

### Step 2: Determine the first and last even numbers
From the list, we can see:
- The first even number is **12**
- The last even number is **62**

### Step 3: Use the average formula for consecutive even numbers
The average of a sequence of consecutive even numbers can be calculated using the formula:
\[ \text{Average} = \frac{\text{First term} + \text{Last term}}{2} \]

### Step 4: Substitute the first and last terms into the formula
Substituting the first term (12) and the last term (62) into the formula:
\[ \text{Average} = \frac{12 + 62}{2} \]

### Step 5: Calculate the sum and divide by 2
Calculating the sum:
\[ 12 + 62 = 74 \]
Now, divide by 2:
\[ \text{Average} = \frac{74}{2} = 37 \]

### Conclusion
The average of even numbers between 11 and 63 is **37**.

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