The average of all prime numbers between 32 and 69 is:

To find the average of all prime numbers between 32 and 69, we follow a simple two-step process:
1. Identify all the prime numbers in the given range.
2. Calculate their sum and divide it by the total count of those prime numbers.

Step 1: Identify the prime numbers between 32 and 69
A prime number is a whole number greater than 1 whose only divisors are 1 and itself. Let's examine the odd numbers in this range (since even numbers greater than 2 are not prime):
- 33 (divisible by 3)
- 37 (Prime)
- 39 (divisible by 3)
- 41 (Prime)
- 43 (Prime)
- 45 (divisible by 5)
- 47 (Prime)
- 49 (divisible by 7)
- 51 (divisible by 3)
- 53 (Prime)
- 55 (divisible by 5)
- 57 (divisible by 3)
- 59 (Prime)
- 61 (Prime)
- 63 (divisible by 3)
- 65 (divisible by 5)
- 67 (Prime)

The prime numbers between 32 and 69 are: 37, 41, 43, 47, 53, 59, 61, and 67.
The total count of these prime numbers is 8.

Step 2: Calculate the sum of these prime numbers
Let's add the identified prime numbers together:

$Sum=37+41+43+47+53+59+61+67$

$Sum=408$

Step 3: Calculate the average
The formula for the average is:

$Average=\frac{Sum\; of\; values}{Number\; of\; values}$

Substituting the values we found:

$Average=\frac{408}{8}=51$

Therefore, the average of all prime numbers between 32 and 69 is 51.