The average of all the odd integers between 2 and 22 is:

Options

A. 14
B. 12
C. 13
D. 11

Answer

To find the average of all the odd integers between 2 and 22, we can follow these steps:

### Step 1: Identify the odd integers between 2 and 22
The odd integers between 2 and 22 are:
3, 5, 7, 9, 11, 13, 15, 17, 19, 21

### Step 2: Count the number of odd integers
We can see that the odd integers are:
- 3
- 5
- 7
- 9
- 11
- 13
- 15
- 17
- 19
- 21

There are a total of 10 odd integers.

### Step 3: Calculate the sum of these odd integers
Now, let's add these integers together:
3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21

Calculating this step-by-step:
- 3 + 5 = 8
- 8 + 7 = 15
- 15 + 9 = 24
- 24 + 11 = 35
- 35 + 13 = 48
- 48 + 15 = 63
- 63 + 17 = 80
- 80 + 19 = 99
- 99 + 21 = 120

So, the sum of the odd integers is 120.

### Step 4: Calculate the average
The average is calculated by dividing the sum of the integers by the number of integers:
Average = Sum of odd integers / Number of odd integers
Average = 120 / 10 = 12

### Final Answer
The average of all the odd integers between 2 and 22 is **12**.

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