Explanation:

- First, list the prime numbers between 20 and 45: 23, 29, 31, 37, 41, 43.

- Add them up: 23 + 29 + 31 + 37 + 41 + 43 = 204.

- Count the number of these prime numbers: There are 6 primes.

- Calculate the mean: 204 divided by 6 equals 34.

Now let’s check the options:

- Option 1 (36): Incorrect, as our calculated mean is not 36.

- Option 2 (34): This matches the calculated mean.

- Option 3 (24): Incorrect, 24 is too low.

- Option 4 (32): Incorrect, 32 does not match the actual mean.

Hence, the correct answer is option 2.

Option 2 (34): This is correct.

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