What is the average of first 19 odd numbers?

Options

A. 9.5
B. 15.5
C. 19
D. 38

Answer

To find the average of the first 19 odd numbers, we can follow these steps:

### Step 1: Identify the first 19 odd numbers
The first 19 odd numbers are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37.

### Step 2: Calculate the sum of the first 19 odd numbers
The sum can be calculated using the formula for the sum of the first n odd numbers, which is \( n^2 \). Here, \( n = 19 \):
\[ \text{Sum} = 19^2 = 361. \]

### Step 3: Calculate the average
The average is calculated by dividing the sum by the number of terms (which is 19):
\[ \text{Average} = \frac{\text{Sum}}{n} = \frac{361}{19} = 19. \]

### Conclusion
Thus, the average of the first 19 odd numbers is **19**.

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